Class 10th Mathematics CBSE Solution
Exercise 12.1- The radii of two circles are 19 cm and 9 cm respectively. Find the radius of…
- The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the…
- Fig. 12.3 depicts an archery target marked with its five scoring areas from the…
- The wheels of a car are of diameter 80 cm each. How many complete revolutions…
- Tick the correct answer in the following and justify your choice: If the…
Exercise 12.2- Find the area of a sector of a circle with radius 6 cm if angle of the sector…
- Find the area of a quadrant of a circle whose circumference is 22 cm.…
- The length of the minute hand of a clock is 14 cm. Find the area swept by the…
- A chord of a circle of radius 10 cm subtends a right angle at the centre. Find…
- In a circle of radius 21 cm, an arc subtends an angle of 60 at the centre.…
- A chord of a circle of radius 15 cm subtends an angle of 60 at the centre. Find…
- A chord of a circle of radius 12 cm subtends an angle of 120 at the centre.…
- A horse is tied to a peg at one corner of a square shaped grass field of side…
- A brooch is made with silver wire in the form of a circle with diameter 35 mm.…
- An umbrella has 8 ribs which are equally spaced (see Fig. 12.13). Assuming…
- A car has two wipers which do not overlap. Each wiper has a blade of length 25…
- To warn ships for underwater rocks, a lighthouse spreads a red colored light…
- A round table cover has six equal designs as shown in Fig. 12.14. If the…
- Tick the correct answer in the following: Area of a sector of angle p (in…
Exercise 12.3- Find the area of the shaded region in Fig. 12.19, if PQ = 24 cm, PR = 7 cm and…
- Find the area of the shaded region in Fig. 12.20, if radii of the two…
- Find the area of the shaded region in Fig. 12.21, if ABCD is a square of side…
- Find the area of the shaded region in Fig. 12.22, where a circular arc of…
- From each corner of a square of side 4 cm a quadrant of a circle of radius 1 cm…
- In a circular table cover of radius 32 cm, a design is formed leaving an…
- In Fig. 12.25, ABCD is a square of side 14 cm. With centers A, B, C and D, four…
- Fig. 12.26 depicts a racing track whose left and right ends are semicircular.…
- In Fig. 12.27, AB and CD are two diameters of a circle (with centre O)…
- The area of an equilateral triangle ABC is 17320.5cm2. With each vertex of the…
- On a square handkerchief, nine circular designs each of radius 7 cm are made…
- In Fig. 12.30, OACB is a quadrant of a circle with centre O and radius 3.5 cm.…
- In Fig. 12.31, a square OABC is inscribed in a quadrant OPBQ. If OA = 20 cm,…
- AB and CD are respectively arcs of two concentric circles of radii 21 cm and 7…
- In Fig. 12.33, ABC is a quadrant of a circle of radius 14 cm and a semicircle…
- Calculate the area of the designed region in Fig. 12.34 common between the two…
- The radii of two circles are 19 cm and 9 cm respectively. Find the radius of…
- The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the…
- Fig. 12.3 depicts an archery target marked with its five scoring areas from the…
- The wheels of a car are of diameter 80 cm each. How many complete revolutions…
- Tick the correct answer in the following and justify your choice: If the…
- Find the area of a sector of a circle with radius 6 cm if angle of the sector…
- Find the area of a quadrant of a circle whose circumference is 22 cm.…
- The length of the minute hand of a clock is 14 cm. Find the area swept by the…
- A chord of a circle of radius 10 cm subtends a right angle at the centre. Find…
- In a circle of radius 21 cm, an arc subtends an angle of 60 at the centre.…
- A chord of a circle of radius 15 cm subtends an angle of 60 at the centre. Find…
- A chord of a circle of radius 12 cm subtends an angle of 120 at the centre.…
- A horse is tied to a peg at one corner of a square shaped grass field of side…
- A brooch is made with silver wire in the form of a circle with diameter 35 mm.…
- An umbrella has 8 ribs which are equally spaced (see Fig. 12.13). Assuming…
- A car has two wipers which do not overlap. Each wiper has a blade of length 25…
- To warn ships for underwater rocks, a lighthouse spreads a red colored light…
- A round table cover has six equal designs as shown in Fig. 12.14. If the…
- Tick the correct answer in the following: Area of a sector of angle p (in…
- Find the area of the shaded region in Fig. 12.19, if PQ = 24 cm, PR = 7 cm and…
- Find the area of the shaded region in Fig. 12.20, if radii of the two…
- Find the area of the shaded region in Fig. 12.21, if ABCD is a square of side…
- Find the area of the shaded region in Fig. 12.22, where a circular arc of…
- From each corner of a square of side 4 cm a quadrant of a circle of radius 1 cm…
- In a circular table cover of radius 32 cm, a design is formed leaving an…
- In Fig. 12.25, ABCD is a square of side 14 cm. With centers A, B, C and D, four…
- Fig. 12.26 depicts a racing track whose left and right ends are semicircular.…
- In Fig. 12.27, AB and CD are two diameters of a circle (with centre O)…
- The area of an equilateral triangle ABC is 17320.5cm2. With each vertex of the…
- On a square handkerchief, nine circular designs each of radius 7 cm are made…
- In Fig. 12.30, OACB is a quadrant of a circle with centre O and radius 3.5 cm.…
- In Fig. 12.31, a square OABC is inscribed in a quadrant OPBQ. If OA = 20 cm,…
- AB and CD are respectively arcs of two concentric circles of radii 21 cm and 7…
- In Fig. 12.33, ABC is a quadrant of a circle of radius 14 cm and a semicircle…
- Calculate the area of the designed region in Fig. 12.34 common between the two…
Exercise 12.1
Question 1.The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.
Answer:Given: Radius (r1) of 1st circle = 19 cm
Radius (r2) or 2nd circle = 9 cm
Now,
Let the radius of 3rd circle be r
Circumference of 1st circle = 2πr1 = 2π (19) = 38π cm
Circumference of 2nd circle = 2πr2 = 2π (9) = 18π cm
Circumference of 3rd circle = 2πr
Given:
Circumference of 3rd circle = Circumference of 1st circle + Circumference of 2nd circle
2πr = 38π + 18π = 56π cm
r = ![](data:image/png;base64,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)
= 28
Therefore, the radius of the circle which has circumference equal to the sum of the circumference of the given two circles is 28 cm
Question 2.The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.
Answer:Radius (r1) of 1st circle = 8 cm
Radius (r2) of 2nd circle = 6 cm
Let the radius of 3rd circle be r
Area of 1stcircle =
r12 = π (8)2 = 64π
Area of 2nd circle = πr22 = π (6)2 = 36 π
Given that,
Area of 3rd circle = Area of 1st circle + Area of 2nd circle
πr2 = πr12 + πr22
πr2 = 64 π + 36 π
πr2 = 100 π
r2 = 100
r = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACUAAAAYCAMAAABKpMRCAAAAAXNSR0IArs4c6QAAADxQTFRFAAAAAAAAAAA6AABmADqQAGa2OgA6OpDbZgAAZrb/kDoAkNv/tmYAtv//25A62////7Zm/9uQ//+2///bzafh1QAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAiElEQVQ4T9WSSw6AIAxEqfjFH8L97ypjQVNDJC7pooTwwswUlKq/vJlEiKOfr703RHpNR5JyIzUX5U27e3NjgrJ63ZiyWCwlnbdipBZc48YuSuYpCIJCXygVy6D4Lqa4s02Z8T9V8qWi++HTvdowhOIkEO8xL78YniUUphRegThhbhL1/8z/CU7Z+gaq4rfCNgAAAABJRU5ErkJggg==)
But we know that the radius cannot be negative. Hence, the radius of the circle having area equal to the sum of the areas of the two circles is 10 cm
Question 3.Fig. 12.3 depicts an archery target marked with its five scoring areas from the centre outwards as Gold, Red, Blue, Black and White. The diameter of the region representing Gold score is 21 cm and each of the other bands is 10.5 cm wide. Find the area of each of the five scoring regions.
![](data:image/png;base64,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)
Answer:Radius (r1) of gold region (i.e., 1st circle) =
= 10.5 cm
Given:
Each circle is 10.5 cm wider than the previous circle.
Hence,
Radius (r2) of 2nd circle = 10.5 + 10.5
21 cm
Radius (r3) of 3rd circle = 21 + 10.5= 31.5 cm
Radius (r4) of 4th circle = 31.5 + 10.5= 42 cm
Radius (r5) of 5th circle = 42 + 10.5= 52.5 cm
Area of gold region = Area of 1stcircle
= πr12
= π (10.5)2
= 346.5 cm2
Area of red region = Area of 2nd circle - Area of 1stcircle
= πr22 – πr12
= π (21)2 – π (10.5)2
= 441π – 110.25π
= 330.75π
= 1039.5 cm2
Area of blue region = Area of 3rdcircle - Area of 2ndcircle
= πr32 – πr22
= π (31.5)2 – π (21)2
= 992.25 π - 441 π
= 551.25 π
= 1732.5 cm2
Area of black region = Area of 4thcircle - Area of 3rd circle
= πr42 – πr32
= π (42)2 – π (31.5)2
= 1764 π – 992.25 π
= 771.75 π
= 2425.5 cm2
Area of white region = Area of 5thcircle - Area of 4thcircle
= πr52 – πr42
= π (52.5)2 – π (42)2
= 2756.25 π - 1764 π
= 992.25 π
= 3118.5 cm2
Therefore, areas of gold, red, blue, black, and white regions are 346.5 cm2, 1039.5 cm2, 1732.5 cm2, 2425.5 cm2, and 3118.5 cm2 respectively
Question 4.The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour?
Answer:![](data:image/png;base64,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)
The diameter of the wheel of the car = 80 cm
Radius (r) of the wheel of the car = 40 cm
Circumference of wheel = 2πr
⇒ 2π (40) = 80π cm
Speed of car = 66 km/hour
1 km = 1000 m and 1m = 100 cm
⇒ 1 km = 100000 cm
![](data:image/png;base64,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)
= 110000 cm/min
As distance= speed × time
Distance traveled by car in 10 minutes
= 110000 × 10
= 1100000 cm
Let the number of revolutions of the wheel of the car be "n".
n × Distance travelled in 1 revolution (i.e., circumference)
(In one revolution of the wheel, a wheel covers the distance equal to its circumference)
= Distance travelled in 10 minutes
n × 80 π = 1100000
n = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEEAAAAiCAMAAAA3SUSDAAAAAXNSR0IArs4c6QAAAFRQTFRFAAAAAAAAAAA6ADqQAGa2OgAAOgA6OpDbZgAAZgA6ZgBmZpC2ZpDbZrb/kDoAkDo6kGaQkLaQkNv/tmYAttuQ25A629vb2////7Zm/9uQ//+2///bgyOhNgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABI0lEQVRIS+1VXQ+CMAzsFEVU/ABRwP//P+2t7eJmWIzEF2MfuGyM262XHUS/Um0hJxG8H5wrU0hm/XIsdI6/6fzzCQsa1g11EaRDz3C60f3YEF3xlktx3NTMXsZAyZCGvcjuRb4wKI4Vs7ZFDJTMbi/7toYMSPiEgSU5EJiERMMbpxir8+7AFCZBPTAv2BF0MoZ0KH2wLsATto898cgKITGGdCh2aheki/+a3QE4MKtmK/gTfK8DuFHLW8hJ2QiTiCHD3PYccLwOV1UuuRBwbvWLJmBWPwIRYaDBSCERjS7QTtGIhjoEoyUidawLZTitQ38XGq0viaixlDmHqA+nsESM4jxv47CSPlgwSh+wc88vDLMciEu4qTkZzER4Ys6H6O/VA6X1GS0o7IVwAAAAAElFTkSuQmCC)
= ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACUAAAAiCAMAAADvReCJAAAAAXNSR0IArs4c6QAAAD9QTFRFAAAAAAAAAAA6ADqQAGa2OgAAOgA6OpDbZgAAZgA6Zrb/kDoAkDo6kNv/tmYA25A62////7Zm/9uQ//+2///br9x3CAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAsklEQVQ4T9VT0RLCIAxrFWWCgA7+/1ttYDywc+uDu93Zl9xolgQoROdXYmYrtsBLICq+fq/gGeiNbnItYTI038MK0MBqZ+XJiY4dAaTiIQNHQ5Qf8kc0I0g7Mi9m881tssRRuk3U0ndHSINVZBeVHVv6EWqeZef1RPJUE4xw/gUd6Sg71OtIw7/Rwi1fX0rcNmKYjb3CEGK29quPq0prz1N1LF5z7KOviOEZqCehJfq9/wGQAgm/ZaWf+QAAAABJRU5ErkJggg==)
= 4375
Therefore, each wheel of the car will make 4375 revolutions.
Question 5.Tick the correct answer in the following and justify your choice: If the perimeter and the area of a circle are numerically equal, then the radius of the circle is
A. 2 units
B. π units
C. 4 units
D. 7 units
Answer:Let the radius of the circle be r
Circumference of circle = 2πr
Area of circle = πr2
Given that, the circumference of the circle and the area of the circle are equal.
This implies 2πr = πr2
2 = r
Therefore, the radius of the circle is 2 units
Hence, the correct answer is A
The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.
Answer:
Given: Radius (r1) of 1st circle = 19 cm
Radius (r2) or 2nd circle = 9 cm
Now,
Let the radius of 3rd circle be r
Circumference of 1st circle = 2πr1 = 2π (19) = 38π cm
Circumference of 2nd circle = 2πr2 = 2π (9) = 18π cm
Circumference of 3rd circle = 2πr
Given:
Circumference of 3rd circle = Circumference of 1st circle + Circumference of 2nd circle
2πr = 38π + 18π = 56π cm
r =
= 28
Therefore, the radius of the circle which has circumference equal to the sum of the circumference of the given two circles is 28 cm
Question 2.
The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.
Answer:
Radius (r1) of 1st circle = 8 cm
Radius (r2) of 2nd circle = 6 cm
Let the radius of 3rd circle be r
Area of 1stcircle = r12 = π (8)2 = 64π
Area of 2nd circle = πr22 = π (6)2 = 36 π
Given that,
Area of 3rd circle = Area of 1st circle + Area of 2nd circle
πr2 = πr12 + πr22
πr2 = 64 π + 36 π
πr2 = 100 π
r2 = 100
r =
But we know that the radius cannot be negative. Hence, the radius of the circle having area equal to the sum of the areas of the two circles is 10 cm
Question 3.
Fig. 12.3 depicts an archery target marked with its five scoring areas from the centre outwards as Gold, Red, Blue, Black and White. The diameter of the region representing Gold score is 21 cm and each of the other bands is 10.5 cm wide. Find the area of each of the five scoring regions.
Answer:
Radius (r1) of gold region (i.e., 1st circle) = = 10.5 cm
Given:
Each circle is 10.5 cm wider than the previous circle.
Hence,
Radius (r2) of 2nd circle = 10.5 + 10.5
21 cm
Radius (r3) of 3rd circle = 21 + 10.5= 31.5 cm
Radius (r4) of 4th circle = 31.5 + 10.5= 42 cm
Radius (r5) of 5th circle = 42 + 10.5= 52.5 cm
Area of gold region = Area of 1stcircle
= πr12
= π (10.5)2
= 346.5 cm2
Area of red region = Area of 2nd circle - Area of 1stcircle
= πr22 – πr12
= π (21)2 – π (10.5)2
= 441π – 110.25π
= 330.75π
= 1039.5 cm2
Area of blue region = Area of 3rdcircle - Area of 2ndcircle
= πr32 – πr22
= π (31.5)2 – π (21)2
= 992.25 π - 441 π
= 551.25 π
= 1732.5 cm2
Area of black region = Area of 4thcircle - Area of 3rd circle
= πr42 – πr32
= π (42)2 – π (31.5)2
= 1764 π – 992.25 π
= 771.75 π
= 2425.5 cm2
Area of white region = Area of 5thcircle - Area of 4thcircle
= πr52 – πr42
= π (52.5)2 – π (42)2
= 2756.25 π - 1764 π
= 992.25 π
= 3118.5 cm2
Therefore, areas of gold, red, blue, black, and white regions are 346.5 cm2, 1039.5 cm2, 1732.5 cm2, 2425.5 cm2, and 3118.5 cm2 respectively
Question 4.
The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour?
Answer:
The diameter of the wheel of the car = 80 cm
Radius (r) of the wheel of the car = 40 cm
Circumference of wheel = 2πr
⇒ 2π (40) = 80π cm
Speed of car = 66 km/hour
1 km = 1000 m and 1m = 100 cm⇒ 1 km = 100000 cm
= 110000 cm/min
As distance= speed × time
Distance traveled by car in 10 minutes
= 110000 × 10
= 1100000 cm
Let the number of revolutions of the wheel of the car be "n".
n × Distance travelled in 1 revolution (i.e., circumference)
(In one revolution of the wheel, a wheel covers the distance equal to its circumference)
= Distance travelled in 10 minutes
n × 80 π = 1100000
n =
=
= 4375
Therefore, each wheel of the car will make 4375 revolutions.
Question 5.
Tick the correct answer in the following and justify your choice: If the perimeter and the area of a circle are numerically equal, then the radius of the circle is
A. 2 units
B. π units
C. 4 units
D. 7 units
Answer:
Let the radius of the circle be r
Circumference of circle = 2πr
Area of circle = πr2
Given that, the circumference of the circle and the area of the circle are equal.
This implies 2πr = πr2
2 = r
Therefore, the radius of the circle is 2 units
Hence, the correct answer is A
Exercise 12.2
Question 1.Find the area of a sector of a circle with radius 6 cm if the angle of the sector is 60°.
Answer:Let OACB be a sector of the circle making 60° angle at centre O of the circle
![](data:image/png;base64,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)
Area of sector of angle θ =
×πr2
Area of sector OACB =
× (6)2
= ![](data:image/png;base64,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)
=
cm2
Hence,
The area of the sector of the circle making 60° at the centre of the circle is
cm2
Question 2.Find the area of a quadrant of a circle whose circumference is 22 cm.
Answer:To find: Area of the quadrant of the circle
Given: Circumference of the circle
Let the radius of the circle be r
Circumference = 22 cm
Circumference = 2πr
Therefore, 2πr = 22
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Quadrant of circle means 1/4 th of the circle.
Area of such quadrant of the circle =![](data:image/png;base64,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)
= ![](data:image/png;base64,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)
= ![](data:image/png;base64,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)
![](data:image/png;base64,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)
=
cm2
Hence, The area of the quadrant of the circle is
cm2
Question 3.The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.
Answer:![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RDuRXhpZgAATU0AKgAAAAgABAE7AAIAAAAMAAAISodpAAQAAAABAAAIVpydAAEAAAAYAAAQzuocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGFobWFkIGF2YWlzAAAFkAMAAgAAABQAABCkkAQAAgAAABQAABC4kpEAAgAAAAMyNgAAkpIAAgAAAAMyNgAA6hwABwAACAwAAAiYAAAAABzqAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMjAxODowOToyOCAxNjowMzoyMgAyMDE4OjA5OjI4IDE2OjAzOjIyAAAAYQBoAG0AYQBkACAAYQB2AGEAaQBzAAAA/+ELHmh0dHA6Ly9ucy5hZG9iZS5jb20veGFwLzEuMC8APD94cGFja2V0IGJlZ2luPSfvu78nIGlkPSdXNU0wTXBDZWhpSHpyZVN6TlRjemtjOWQnPz4NCjx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iPjxyZGY6UkRGIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczpkYz0iaHR0cDovL3B1cmwub3JnL2RjL2VsZW1lbnRzLzEuMS8iLz48cmRmOkRlc2NyaXB0aW9uIHJkZjphYm91dD0idXVpZDpmYWY1YmRkNS1iYTNkLTExZGEtYWQzMS1kMzNkNzUxODJmMWIiIHhtbG5zOnhtcD0iaHR0cDovL25zLmFkb2JlLmNvbS94YXAvMS4wLyI+PHhtcDpDcmVhdGVEYXRlPjIwMTgtMDktMjhUMTY6MDM6MjIuMjYyPC94bXA6Q3JlYXRlRGF0ZT48L3JkZjpEZXNjcmlwdGlvbj48cmRmOkRlc2NyaXB0aW9uIHJkZjphYm91dD0idXVpZDpmYWY1YmRkNS1iYTNkLTExZGEtYWQzMS1kMzNkNzUxODJmMWIiIHhtbG5zOmRjPSJodHRwOi8vcHVybC5vcmcvZGMvZWxlbWVudHMvMS4xLyI+PGRjOmNyZWF0b3I+PHJkZjpTZXEgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj48cmRmOmxpPmFobWFkIGF2YWlzPC9yZGY6bGk+PC9yZGY6U2VxPg0KCQkJPC9kYzpjcmVhdG9yPjwvcmRmOkRlc2NyaXB0aW9uPjwvcmRmOlJERj48L3g6eG1wbWV0YT4NCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgPD94cGFja2V0IGVuZD0ndyc/Pv/bAEMAAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAf/bAEMBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAf/AABEIAOcBLgMBIgACEQEDEQH/xAAfAAEAAgICAwEBAAAAAAAAAAAACAkHCgEGAgMFBAv/xABMEAABAwUAAQEEBQYMAwMNAAAGAAUHAQIDBAgJERITFiEUFTFBUQoXYXiR8BgZIiM4V3GBmbnB2KGx4SU58SYnKTJHSFlnaIm40eL/xAAZAQEAAwEBAAAAAAAAAAAAAAAAAgMEAQX/xAA4EQACAQMCBAQFAgENAAAAAAAAARECAyEEMRITQVEUMmFxBSIkgZEjsaEVJTM0QkRSZGXB0fDx/9oADAMBAAIRAxEAPwDf4REQBERAEREAREQBERAEREAREQBERAEREAREQBERAEREAREQBERAEREAREQBERAEREAREQBERAEREAREQBERAEREAREQBERAEREAREQBERAEREAREQHFPSnyp93/AIpX09Pn9i64/bOTQa93a09Hcd8+pp7ezrNTb9X27zndbZW+xvb7nTNrNtLr7aUxfzufHZT+T7V1K19L6IeCvJJ2vPvk16c4n6o5/g3npqiLm+MJ2ZAEAMCOWpKC3eQrgn3wjI8wX5hmPzR216lTpmurG8Za41q5MdNTWMSmzDiJSqqmtXLtdlry0up92lD/AO/7nLv6drnLM8KWIzU0qczs21nHZ7F/dPS75W/ZX1+2v/T9H4f3/Z6ed3s2Up6+vpT1/ZX/AMVqOm3l88kpn2/17zNB06+DOC2WA+iLILjcR7xkufI1nSWMzs2NdWfdFGcMlHPqm+W503rR3JlGh1guyEGXHrYR+3br62bQpJIGvF0TvcjS45tTNpgQA5GknPbPgdHEfZdEVGfrwxdWdu93mIHJj1bW11za2LNjzEWTBbZitx3ZMtl1nKbtmnTeKdSp0rSaXVcSUOfuuuO5Cqm4tRTpttXw8WcJpQ/vM9FOI7GX6Up6U9K/L19f+HovH0tpStfa+X2f8aV/0r+Py+apRY/yhbw0v5JoiOj3xFes5bYFhkrW23plk4ZH7Ry8StL6t7mYkAIwBTUeUaPXBdEm0Q4ZQqU1tDPg201u+GbvEy8wXOU3cB9P9g8BdKQEX/mA0NTXeC6eALo/RjaPXe95Y7PrGWI6C4/wdCVH9xjcHHON5RcRy3km3bnw62W/GPkd+orrdFvU3eXWvCxD4atqnSpwn1aztMLc7S3Xc01qG/FZnpOIz6w0pzKa6Mur97/Lrb99PWta/jX2K3U/s9KUpT9v4ry97X2vZ+//APj2v+Xz/f0VQRh5guJuX42gja7W6YiiN5Pk7lyPOk9r4UCJq+ADYfffqdmeHeINB2C8xW7tOyRu+WofH79ivlrKKW3Eu2G0tHCLPp5SZvLd49yOAog6iYei2d9g+dpsYuc41NGIHk92yO05ElHijRHr0J64XechL5ksZNm62sgi4vqW472fNdktoSDP02aoqqrppU/NDlUtyvl03CnDlrUcVMLMuInBVaqquW+ZlfNCXdQtTj20yba7TPcss9n8K+vr/d9laV+/9/tT2a+tafh/r6+n2/vT8FXvPvkw4y51LZ6jeT5XsYZN52gDF0vKYplBpO3cbLD7q+NAgzk1z8yAb+wPNHgld2ZhsYxvMSFVmXP774YrZjqog+Lnzn8o+SDnE7mhweR/nc4g8X2jXpuMC0nInAcgAPyExq0ixO/TiYAMZR2/MhKPBdSjLkHvZ+FLM1dUqpgzW1rkqpp53iK0qo0rpUvy/NVKaeG/msON84w2aPIkpUNpYy5qSw8eaKljdJp9i8utPWnp9iUp6U9FVtx95kvGp3tIrvE3KPUjDJ0mMrJvlW4G7oJK8dP+6PtOTHhdHJj1pPAQK0twMVclt258N3kF+prVt2tmlMf89Z4c8eYzxs9U9EPHJnP3WYpJ88tNTKtBVnFJA0WAkyR3k9yWXBMhvIEPRzJ2PFbZnfsF8blhRjKBbXzGIxftiFufdxW07024qmE+u28zvHr/AOgtNREUwEREAREQBERAEREAREQBERAEREAREQBFx60/Gn7aJ60/Gn7aJK/OF75/4YOUXFK0r9laV/sr6rlAERRtnLq3lvmHIMW9KdKQHz1aa4H+0OyTnMIHE1S+8SvZvr34Socko5Y+/D9HtkvI8bHjy/RavLL7+7HZs4LbwJJIq7cfc5OTVucIO4O7+nUVwX5NffLboqi7lD6GQ+vvcoxdHvkJnHjmY3r3TTezPFD4bi8hi3axO9wwNm2yZj5gKiXv/wDSkH2b/wBwnk6rRj/+pHyFYj+jrX/7Y1sL3jH1X/8APf4zoRf+zH4Q/wDOSBOR6272/Q3XGmk4b9W7S3Nyui1a9dtw3K48OS6mi3WWX0945ZK47cWPF6+zdkvtt9qlP5Vum7yT1jMTh53Z46/ePF55ZwKFewIk525pDnyQeISoXyRuRNLxF7E5nsyOmV+uHQ2Kh29mdyAlIx8nKdi0bspl2BLJmwUtrsf1jvyk1p6V7G4F9PT/AOGv0X6+np7Xp/3r391fl6fP7Pn6V/F9f+RaG/8Ats+H4H7dGNi66riN8wAznyFOInfTLTG2fBgb0307OENTdQicnLBmJKF/S/IdItEhUh2xas7l5EMBDBBUJaqzqXmaXba4nCTXX03l7p9SNa5mm5PV10528rp1CW+J4Yn1aW8LXB8uooO9UDfVHKAL+T0Tts9/ynJNBMH7FFeZIY/Mk+W1kJqeRCd97vxoqwZceQoihvZSI0Yiyg9riRS8v8NGpZioPEBLXYRKIOlCPPEgSc4kG05SzMgR4/3qHnjbD9F3e9yRpGY+dcoftUEW3HbaRvGUlJMF9o7iyW2kG3kya+OtK7WW/wBqcsSSOFTCBsEixu+UJBZ/q46WHf2tB5YXxncWJ3cmEsEywRIGQfJwo+ADVpewM5j4yHh00i80ZCILNRocLRt/HdfLN1tvsenp6fP509Pn6/d8/lT7Pn6/vWi7p+PQX9BOL9dNaW/kdLSTcwoxjvtsiyuqNbptSv7tTwuXu6qV3+3pJpGiHEMs6nLH5MYFbnIUn27EQdL0MukRHdgcux3xPY6vOk9vJZOjDcGVsB7bn/2X+97kHGwW+/xVz30yZfay4PvdI8sdK7r5+VV6olzjO+0x9DjHHu9z5iH4fPdtunQiaBd9pI98QUYGH2pMeaP2xj+LqiFpBdbmvpaYUp7daZN1K6mO6tKVt+2tft/D5ev3fo/61ovL2bKetPT5/P7fv9fn+/4+v4fZqd11PXVPhj4pTqFVTnhpWoekqx7PTYb2TfdFVvit8iG40i0apc5+m1Wo1Uuf8XimnG6SWTVfifmaW8vlX8P0kF0AyTeCQ34hW0MJzgki4osDogmXWEtloxjD2VurF8PBkp1xuzmzXDmW4aLbcOe/Hkw3Y7/o9tXT1xD2C38B9SuAtynN7i9c9flFhV20HQLjjQnHjyVOeg+jI02vkGib20YshqxP1Hy3MJZBf4owEuJjffhizPdT2Mu/F7Fv2+z+in4fZ6Vr/p8vx+f2LillnyrSnz9K/s9P0/o9fl/wVNF69bdviUKijU0ppKpxV8W/lSnu5bmlPEJC3S6aXTKzWnv/AKa/h7WNm1U32bzJqm8gbXSHWHmZ6c68KOJuqOS4PlrxoaUSxO49Mx1kCCh6cmeUmFvvwGDQ0fEQ9HJve64THPhjciJsxlUOZ2M2s17BUpw+zBPnnmzs6aPyeDpTxIN3IXU8J9Z87Xb+HC4TKFWxTD/RH1z2EYTM6ikFSy7vGNjk71Cmx01MuxbjwB23suo1hwF2cSJcJRbvQX2WXVpStvzp7XzrSv3/AC/v9afZ/d8/lVefpZ7P2ev3fP8Af0+77qfgldNuvSeGiHW6G2pTfBqbupS7z9Q05fRQolKWmfIuV1wn/OC11M9I0Wm0jo7R9NxZ2bb3bnSF8aXMm3KHYPJcrusDflHD4d8wBEjuzm8+VaTAQF5pi20whN6CnwCiSpnHVh5KFsjP++yx3UaGc0ZZfhi5lMDbDaKDewLr7vizDOrYl7s5rgjmPkryUQrxGKuk4SR0rDHkviGNn2DOWJBeGYhaMzn4++s7a/HZCx5SMtcI/GGBipXbk0VeCGVSa0l1yw1JxPdh9Kenp9yUtpSlafdX7lr8R83MheXh/hGMLpsuhCqlu27cxLmV7r9kPT1pSlfwp6rlEVRNKElvCS/AREQ6EREAREQBERAEREAREQBERAFxX7K/2VXKxRKMtxjBIM9yjMsigsQxoObDfaUSRJ5cNAYIOfXLs1srRe9lhi7DzCzWkL25NY/q0y5sducmd9XUs9vPktpk45hxMw4jefT1C3Ub9DWr2nfsGIvyirkeIpQ7am6aQCZucukJPd4h0stIl54EW616m7JGow0wcEvdw49Ujscowj95/Jr/ACZJpWSsdhRuFmHHcNi4v+r8oWiyT4s5t6N7o2/KX2jzZvx4PiY9y1A/Pcn6cGRnvnDtUeZfhk2awqlh9PhBIb7jfCTCQXlTDfGIre77VjBeJChLfsQrJ4988XUflhjHurn6COR8YbDQrMUJRTLE/wAWdl8zRoNgBVlOndoZ5zhXoVohfsU0kzIOELRjqeQfFZRz98Yl2rqaxV6C8nVEMreRbxHebTvfruNp6OZV8eJjDEL5G0lh7l0nlft2Lo7jsvcxWmVwcHJ+59HQ+XzE6j44vtuFZ6HpQjJ9N7g0cLM0VxKLP77BQ7io51Wj+EW7jtrWJ6t3HSsNLW6qqlVbJ6rwrpUTjO73tt0q1rPiF1tNVURThRjS6fCpaTTd9vbq8PhZd1y92h+abh/jMs8kUtAUVdWTRDDA67UeP+y1MswzVIDW0sn1uMxNBjFbU9lWXn6pKJ/SoihENICasmGrMHBoXblfhgWvyjXqbo2Vr63cq8TSC8jeatd7RljtIuy8QRaUNjdSxteGxlBHiPJv7kHTrAQVvYdVimfhuKBIrGmomNRaV7xqsWZpT8PHXywQc1whh2JehzkePusD67Ls9HSDyUwnH1JM7sxlJt8ElR9K0yYMvQs1HdRp8vezKQpyKi0wJpOJz4rvJ9i4q2c+SxOlfnX9NbaU+37PX/Wnz/SvRuxXqb91LDUUpPCmJx6SlPXPuefp7btaXT23Lltt/dN/acb4K8Kcs9GytfbTqrtqQnkbzVppb8TcWiN/EEWlDY3e25M7m9HbPIU39yjx5gIK2P2y+wz3NFAiVjTUMhJTFFw1dKeGVM9QVy7z1zZUt2IMhcDjcjO7mHYlA6ZmXDlk6anNjsdbmwvm6W3Om1I80nmTO/Fj1vSDKZWWl5KVlBIVEpLnLCkl2tmTKKBrCIiA49KfhT9i5REBXa3ZPzAd/b7Rhpk0Y175AyOQdjY3afQWBn7G5hFowjpzbW58dq7OwZnnSnKeMU2BeJB7YFsYaE+OqU5VFQ8ryyLOBcLWJKv7sf8ApF+J79f+R/8AK08lysBQBERAEREAREQBERAEREAREQBERAEREAREQBEWJJZkgLh4Cf5Ekl9oNizB9X6Wbf1dF5fn13cH13bWMTExMRH2QgJzQ+kA2dWQCCI9DR4jNJRM3wdCwkZJC4lHR3OBltRpnHqKDucPhdvlMzroFJ7UgpG0XCo0XSnOMp3B31RnMaQ7z3FY8YTPK1I+aHlpITG+NY5KrQ4UrlLzG8eFMGyRLA2Pc7F6luudBEkrxHADtX344V4gtsLu45EG8l19GIoxx5N4LnhvjC764Z7X68EmmMevpTMIlO/h06BuK+ihl/GBjO0Fcu89c2VLdiDIXA43Izu5h2JQOmZlw5ZOmpzY7HW5sL5ultzptSPNJ5kzvxY9b0gymVlpeSlZQSFRKS5ywpJdrZAwP+c/yBzJZTVjPmsD5DYM2WuptSL2scCssScNuLXWjzkdGHlDkKQCmPJNBX7DVtE8D6/+QiBzAdJshGX54xfxcQGh2XfbXkvpk39twmvyJT3kuIPdaJxF3MMawLzTBzwM23WNGyMBjm/R9PHb0WXEg9bdcUHgv3R+dFgMHZ9L4gM4nx3Cg2G2GIgK7a+M7knfty6p+0T9OgtlyZqOcT9P9qdo9WwaVY8We6rRca8/dMz/AClDBzawOdusSilC6OCOguVsrGYituAwHBog1oBcY+Knxq6c0eTMT2uCeQSYYEO/W3VE20/gOK5I+BWiROCuHZnfhYNvO2AmyhoRjlKVD99FY9HbtcOD/iPIOBQ0ODFMWrrbB6r+44/pF+WH9f8Ajj/K08aKA/BZ4rfGpr5KbA5wNyLH77huyZx89ifn6MYmk0Ldbf5xpLYzlmL2IZkeJjkXyW2PwlIEck4qYiRRiaSoQJhwn19bawq+OaINPJfuB0099iBboW03hYxr5JO9pHtFSPFdSrKSWx3NfRsow0dUHHfDa9XAk2RbJ8YFlLKDhyGlghnfRjNYgidvRyvRvqCuyyH+/wCL8tMkZ9kAXQA5p1+IdgZ7Q59GdeTy91srl96BM3Q3IztzTHcLgZLgbGdo1SR94d6UNoyJ38kMc+rK4tjGolGfb/DNOYfvst7Q5iPefmJupbpkPRMdE7X0lxw2b+THmecbg5yMItAn0FFwIwB1zq+yvP3S3IHNfPMVZw831yyXfhakYFsmWHIgOiiBYLH4sMHAMQsReDlzC1E4gXir23EAsXjr5oY3pkJBV8ZM+wyv7IRsjhrvjCQD+fJrb2rkxbFmzXFd7td6UCyriKPmgkJpg5RzsPGPQheSupZIkhxFFEaXCHRZC6O2cn+g9eRxmG8WGfGPYNqfEGwUYCOMeox3WeJCF4Y6SgzFNUnbRSE+nJCjEqH4q7PEGICKi95aROMpziRtk4y5jlp0dnHGIs2IvKXYHtt48lyQTnKxsorz9NZcWCRYRyjEsS83dI9Ty1ikkbDQJ6IiIAiIgK/ux/6Rfie/X/kf/K08lysBVd/U+xUl648ZwEx0yuBYFz90B06SNt1lNWzSguOuLuhObDCQcbnlpjaNqg5N3ZPOADmGsWzmLM/5yrynUF9gSEjInF7EEAREQBERAEREAREQBERAEREAREQBERAERYHnKZxmAo8d5NJ9F+eNTVf48CBsTEtXQcCk/kSX5AFoeiGPhXE/PAyLsxDJEtGQiAjhCdE4pGo5svmIkOjMSCtclKGEDiaJrFoMFtF/Im1/KX8iIdMJi+Mw/UbN6T5okdybnh5aI+jRleHccZ9l+zsbM9khG+kZEMxpGUbDx1LMuGEaw/HUkGAtiOMOb3bfPmfo/ph8+M+gdHI5bwyJsJqeuXOHNOB1bHJgtGILAHvKNDL0dsIY8l4sUdhFMbD3QkrYJLlrV1s0Tc5SCNcsRX9+F4bLdEt3Z/nnbHifoktH9kYwYBvO6b0ac/R08OjQ/Z4IgvM+szC75B/I8NI89zBMRAMi8odUSYPsJgXDcYxLG/PnPfPstkAREQBERAFX9xx/SL8sP6/8cf5WnjRVgKr+44/pF+WH9f8Ajj/K08aKAsBREQBERAFAYvJHLrMtIoXAMDDucxCxA5AvUknEgwMn4jNbs1uuVjkbjONBQ2ZCcCM2G/6I6x913LL2OEQoG4shRylFPt9LZ5VM+KvYVFRT1UUk0RQ8SkQdA4a/OoZ0P0IFPLwPFRiRMrplaC/mTmEuYsmJ4ZXsffW53GujOohfbw7cDbmB/wCe+dSLW61slGUeEpdiAmLAAsMA4MPMQgDiLC1DAgICrI3D4sIDrHoY2VkGxVjZMGuysDIOMjfrsbCPj+DHraOrjxa9mtTFb7xAQruyO/B91M5AWn57xL776Q+HksSJIUtydxu65qY/rMpkWWJNfiiR5U4/JcmbM/GEhSQVk5ZxiT5HgoLSch40z5tnhWw5FXbdjrwi6iY3o1zfwJz4+jyKwVo1KW5XrjuTZcPh6NYojARabcn0gj5AkyTCsSjUCFWLBlJuMDIvYRIS19rjIg07OCgLEkREBXsR0uLfKRDtzD7e/dAHAPSt8tWev0OghXr7onlC3nPHSuzSz68tkb+A91HX/wAl6kF4lWMvU3+GPi6NaFVhKrqg7JQ17+79k1rsppsoIE8W8WvWq625bXvdlWIBmbOxS15aLNe67XvAtiLvIbDjCMPmXc1SbOXi0qau0JaoyPiZIX2KoAiIgCIiAIiIAiIgCIiAIiIAiIgCIiAKvGGba9ZTtr9VbV12xAkI3GAVxVXWre5hU3WyOIg10g9xNV79S+l19Lfj/nHlImGhwe95A7t0JLwVKU387dvxnUQ+z3OYFm1Hkac+x4SkYDIXbsxaPLwxJY49OYcRRSOukXydMU+HoiXM2Sj+FSwO8tQnOuXnMrtHCvAO9S3Q1lMhXKC/Fe4Oy7EBMWABYYBwYeYhAHEWFqGBAQFWRuHxYQHWPQxsrINirGyYNdlYGQcZG/XY2EfH8GPW0dXHi17NamK33iA70iIgCIiAIiIAq/uOP6Rflh/X/jj/ACtPGirAVX9xx/SL8sP6/wDHH+Vp40UBYCiIgCgUVFRT1UUk0RQ8SkQdA4a/OoZ0P0IFPLwPFRiRMrplaC/mTmEuYsmJ4ZXsffW53GujOohfbw7cDbmB/wCe+dSLW61slGUeEhUVFPVRSTRFDxKRB0Dhr86hnQ/QgU8vA8VGJEyumVoL+ZOYS5iyYnhlex99bnca6M6iF9vDtwNuYH/nvnUi1utbJRlHhKXYgJiwALDAODDzEIA4iwtQwICAqyNw+LCA6x6GNlZBsVY2TBrsrAyDjI367Gwj4/gx62jq48WvZrUxW+8QAQExYAFhgHBh5iEAcRYWoYEBAVZG4fFhAdY9DGysg2KsbJg12VgZBxkb9djYR8fwY9bR1ceLXs1qYrfeLvSIgC6KXiYsfixODnI8xF4OXMLqMF4gVMjcQCxeOvmhkZXsbKmN7wbDK/shGyOGwxvw+QYMmtvauTLr361cV3vF3pEBA3lYtK46cHPjKXiN+IZEhNlaMcKyjIjs9uJ71rzGwjccNLfPT04u2V9tMJYjs0Kb4U6tyapRkI75QahjoouCINA+uYHC7Z5Ku7yCU/NVGDP3APW59Ys4MwlM7FNNel1jgfctNY17XYENZr8ebTdi+4ohLQc5MiUA2CwWjck7LhbkwxlohqJRnsWUlvLkqA0HxfIk3SYQfDEZRCDlkmyOSWNbo+VHAePR17LjB4tamJpfH94sYWFpdc97KPMG0R57da/Fq6mbPfjx3gRJ8feGpUw9Xzk4XZNQrnLvrraws0tPJkoP6GLlSUtnx4Rvawa2Wmd4x5H+EOO4zIzTK+ED/TZlN7OCUYoOBr0MhwzYgoW8ARocQ5xLybHUns1zHNLBAsY55/197db3p/eOhnkaa33oorLDJldHxnNT+QZudjM3NpC+ICTLKBi9ERnnJiPOQ7BJfNJAEREAREQBERAEREAREQBERAERYhlyaIkgYLcpLm6VI5h6OmXZa9R1PZUOBmOQ5p3nRysamfE8Fhe5srI05H53y42fVsvyVv2tnPZjxXVrfS2x29dvX2Bl5Fh6JZoiGfQ3TkWCJWjiZI5393f0m08ig4F5GDNpxbMl7Y6t7WVhzq9sN2wyZv5rb17Ml9ceW6ll9tLq5LlmFB1a6rf0K745srKHkW6LPK35H8X5TgWJ+YQh3y+jfUAnWcnXP0v16CYmyn0N7LsZTCTX4yzqpG+4ikVYLaWikUEo8WVnwcpYgq8vHfZUhjvoiWHr2to/ljvrvL84j7b/ADVCSvO/UUncTRFb9U462MbN8J82cwQVHNaMOtp5Ca4K+LS6r+ckpcVEVhqAIiIAiIgCIiAKv7jj+kX5Yf1/44/ytPGirAVX9xx/SL8sP6/8cf5WnjRQFgKgUVFRT1UUk0RQ8SkQdA4a/OoZ0P0IFPLwPFRiRMrplaC/mTmEuYsmJ4ZXsffW53GujOohfbw7cDbmB/5751ItbrWyUZR4SFRUU9VFJNEUPEpEHQOGvzqGdD9CBTy8DxUYkTK6ZWgv5k5hLmLJieGV7H31udxrozqIX28O3A25gf8AnvnUi1utbJRlHhKXYgJiwALDAODDzEIA4iwtQwICAqyNw+LCA6x6GNlZBsVY2TBrsrAyDjI367Gwj4/gx62jq48WvZrUxW+8QAQExYAFhgHBh5iEAcRYWoYEBAVZG4fFhAdY9DGysg2KsbJg12VgZBxkb9djYR8fwY9bR1ceLXs1qYrfeLvSIgCIiAIiIAtfcm9lm8U/UHCm1WrG6i0+Evh8bWyll+/Zz5B3aHR4XzdxO6/WF1t2OV7oX8f/AGJyvMl+DIVZDCUKNFoPLsrDEx7EmkAzsELXvlnFZb5lAPnMasq6BUjHPHne80RLWv11qEL+KcueU2CHXoA1ZM30zLQKjiVOSvFixjmXP7EYRj0KF8+GYlri80SRQkKwNg70t9afj93zr93/AOk9aUrX8fl6/v8Av+lVVdzdqdf89FTSE8jeNWVu4XRvB8cnySX2zTHvNkUCY19avbS0MrLIcls5TilCUL8oq6bBNHQyx3k4wMZhsl2brbCgdtv7h4wfICIeTbj8E6rCQkjjGhQ6Eg0VABTv0Id8OPhZ1yaBY0txRit0bX9gxZrq2jBBcOjWbb1PcZdsZHdi7MN61Vp81ajlw1pKlRVw1Kpy1s0m2p2yk9omVMa/0kua94W27b6LrE5j9yydFxT50pX9C5Viyk/QkERF0BERAEREAREQBEXFfsr/AGV/5ID1V9PlSlfst9P2evy/0p/qtY3zzRBKBJ0N4wp+eePZR7z4z54liZtrpjl6IoxwzoXkDkaCzI0xsVXwblzfU8ltDHlZXy+nxBWo4O35foRNmYrC22/Ls3ev/q/L09a19f2fL1/5/o/u+UE+2uHtftUeDB6vWHbXKGcMe9x2qR8WdAOUFEZVZvN1W+jOYZ7WAnZnxlxXXfScNmVgplw5bstbc9uO6623LftXefp71mqFpm1VPVcNNOV1hZSy/uTsv+nob2eMd+Hv75/HcoQ/J+X9n3fIF5jWaHOeJZ5A5xylPKsgiPK0pgDXEz9EBrIkdkmcuwusVsJK+sEbPJNey4360FZ/axDIrcN6fuRbDZrjVNtq2lfbvr6/h8v0+nz/ALPlX5/2/P5KCnEPAMA8BgBABwnrGb3vn5VvSJMUvSwYOkhzZOcqu1cdjvIksH7rTHleiR8pipm2sbRpDwxZubLvm1hvBmf9q7JPG3519fsr60/v+VfX5/p9P9Fs1N+zUrFqzRD0+j0ac7uqlUKqqp5luqhuG22mph4MluiLuovzjVtNJYShU4jZfbdkAvE5/wB1p41f1AeN/wD8c41VgSrx8VVmTU8bHBA5uX1xEIHyRAMWnbHlvrY9AkoRFGjPGcsRaWNN1ffD5zFsnCJZG5wNv2DARipkIvwmXa+qVD21itsOUTQEREAREQBERAFrLifWT2/9Fd9gm7EvkahHnWe+nQKbXCfBvxzeSHTkyXY6rw/xzA2/D0E5QjmS6QIWfMp1BciMkvzQS60bScExlcP4eYKbMuSPj6I5c2aEQFZwh3vygAjA0CA0M9tiIOIMjaKiAiLeJDyYjwoIDrA242hnHBRmZeMtZiYWIcY27AxjrGPYrNLBr2YtTXw1tpS9dw/jLOeP6t+/f8KDynf7NFYCiAr+/jLOeP6t+/f8KDynf7NE/jLOeP6t+/f8KDynf7NFYCiAr+/jLOeP6t+/f8KDynf7NE/jLOeP6t+/f8KDynf7NFYCiAr+/jLOeP6t+/f8KDynf7NE/jLOeP6t+/f8KDynf7NFYCiAr+/jLOeP6t+/f8KDynf7NFDKP+scHRnmUhEVFIXn4UjKN/GP2I/tsszpAPSHON0hG0kdU8LthoACkf8ARcGRORPVYxYI5jYlJiYcuJB2+2YGIe9kfzjd/wAT3nKvI1x0ePKTzb9TVudaR1wP23lkWjbkrv0Bb5h6M8ft8O2mV+KmW0dsk6+DZ4rFVCCmrjM8kNy9YI02qxuW1YAKqPOXO/COibx5Bncnb/ki8eTBkjkrfRCQuWs0pCcLdMaMj7Pw6ZRmWPsbxJN+OQ3uKcQm05ycHIh4YsHBqWmbLbcSa5ZktZOxfkwThO9/jFFB6XIsvjSPhWRi1r5ZetuMGqHiOWOenRpHisTlQpFGPDRmd3gpfSAiyYpDtrddJWC2wm2dws2L8hwW7Hnyu9K1+Va1r/1+X3fbSn7fVP5NKetKfP1p61+f7+v70r96r0a8La1NEJ+MrVctZoajy43a+VtzCb7wo6qnxFWl/wAnwyp80P2U79/VqcnuREVhIIiIAiIgCIiAIiIAiIgHpT8Ps+z9C49KfhT9i5RAcelPwp+yi5REBXf4+81RVh6vg1wtybZXBvfXW15Zu6ePJUf38XVcpbPkPje5g2ctcDxkyMEIdiRmOGmJ8H2CmtKbIcDQxUjDWUZMSaxBV4NV98M+RIyueqUHQXtuAo7/ADeZG+tNIMdup+W3WVbpdoY+19QMTtO80c1SHBNIr+oLSmTZNgThiWLTG4bCOZRKzNYegCIiAIiIAiIgCIiAIiIAiIgCIiAIiIAq6oOyUNe/u/ZNa7KabKCBPFvFr1qutuW173ZViAZmzsUteWizXuu17wLYi7yGw4wjD5l3NUmzl4tKmrtCWqMj4mSF82y8sFgAWJzg5IWIQBxFhdScvLyp7bh8WEB1j0Mj09khU+PefXZWBkHGRv2Hx+ICDPj1tHVx5di/Zpit92oi+PwSLmznvYkk+GCQWkjpOXpy6jJ2k7ZHUcl1tG52lYyN4Fj+c296to/NMtQXyy6wZzqUi+XYIcUV2Q8zQ+KFBIDRuKZLgJ6IiIAiIgCIiAIiIAiIgCIiAIiIAiIgCIiAhb2lF56cxWySJD7LaSdD8xHmh0pzuO/WjaxXnJ2HDRmJGMMUdS53wgIfd0pBJ/LnMFskyFqEo7D90z/ni1RPYLI4FrsOeIjlQGnCL47m6MyD4njKXgcTk2OCS9rdGOpGDyEOshcHvFzU+tLG/s9j8wuzVnsZSFg1SPBbs2YtrUw57MmOzLSrxbsf8D/o1ybtrJZpcvdhnz2Y6xA4Vo2inO3YpfljUSbYwbKtFlWFkBe3H7MVSKOPL+NB2vTtP86WmVyrKky90wfGQ6BYciIgCIiAIiIAiIgCIiAIiIAiIgCIsSSzJAXDwE/yJJL7QbFmD6v0s2/q6Ly/Pru4Pru2sYmJiYiPshATmh9IBs6sgEER6GjxGaSiZvg6FhIySFxKOjucCJvcd2SZ6RbwZo25Nn+GFaaUniz2qY7WjhmKLxC3rSlbMlWS51umy6RIn4wrURKheWIzs6yr0UBUz0golswWGqFvMsYnWB5kfpOd2G8f6DnqrawuQlicmnb1oo58jQ6l155Xgm6wMdH0VuPY+DpZLyjoEjZSaUbH3oSTZc1QaWiXnUbgwaEZpIAiIgCIiAIiIAiIgCIiAIiIAiIgCIiAIiIAsSSzG4XMIE/x3JLFQkFn/wCr93Noau88sL60ODE7tr4JlgmXD72Pk4WfR+bNTIehEhBpCOGkXGbGOmgSTDZcNDpFgy2iAhXGUpnsamw9zj0u8/EBcRWbuGAOgc+g1jrJ0y2sbS5vryJlbUwMrGOBXYMfBzK7ERtHgyxDYXPYYzEHRnOIsMB43PsC8cTUWJJZjcLmECf47klioSCz/wDV+7m0NXeeWF9aHBid218EywTLh97HycLPo/NmpkPQiQg0hHDSLjNjHTQJJhsuGh0iwRoFZ3LYFKByDusHMiddkhfGwUhTq7BHztWMZqsf3fGwB4xOzuBjdIr5z6Tq/OgdHeRjJvzWxP1JJpkC7fH+C0vkQs5T59AnkiIgCIiAIiIAiIgCIiAIixJLMkBcPAT/ACJJL7QbFmD6v0s2/q6Ly/Pru4Pru2sYmJiYiPshATmh9IBs6sgEER6GjxGaSiZvg6FhIySFxKOjucDsJeWCwALE5wckLEIA4iwupOXl5U9tw+LCA6x6GR6eyQqfHvPrsrAyDjI37D4/EBBnx62jq48uxfs0xW+7URRUVKOqyoaluYRohD4HDX5pNeeOejVmeh4pNiJkdcTsIdNdOCL7jxvLI9sD23tBLzny+U6WLbgXcwsHQnRQ5rda2xdFvCIVFSjqsqGpbmEaIQ+Bw1+aTXnjno1ZnoeKTYiZHXE7CHTXTgi+48byyPbA9t7QS858vlOli24F3MLB0J0UOa3WtsXRbwjPRAEREAREQBERAEREAREQBERAEREAREQBERAEREAREQBdFLxMWPxYnBzkeYi8HLmF1GC8QKmRuIBYvHXzQyMr2NlTG94Nhlf2QjZHDYY34fIMGTW3tXJl179auK73i70iArvugLo3m7NZj4vNgUqiHTtv12Pivoqt4jF0cNtKW4WkT5s6Li4FKJH54AhzK9vBFWO5Ji3sgO1hhiAeeubxXlGHx3VyD3fIz7gg6SD1miN82T6C52f/AKw0h+COk44LYNPSwlEWx3eJJHoPeTJksjnqj82ms1OGSVTnkmR55iwTG/qEtxGuUMLhEtKJqLFEoxJGM7Az3F0zR0Cy9GhHsN9xRG8niI0eAZH9TOzW9NGN7EzFoIWB5sHnttayDV97hyW4CZo1duz2M+K33YGV0VeV/GsqRbW7d5S7MnuO7db3e5gjPp9+KO9oQIyFypkZnwmNnXoE3/hteto5dr4hQGhvuiFIxGi1kYTXKEE175KI5KPpoU+S2N7rsJDBfInTLAPZLt56kSK53k7muUT9npbR1dWiNeTpQiGb46YzvBguyDAiwyJ5DdUPlAobGgpMpYgsXKdhijcCxNFXrl7dkhjr9byv46O/Ymj/AFPY+v5BtGOXOhLx2mb+abfZiDi/qrpzp0y+u3u5qYraxpBJfUao51LDK4XCB8oLRz9P8ZZzx/Vv37/hQeU7/ZogLAUVd1fIvEG7fdphsK99mBZv200RUPr42+9o5tKyLLdS1lG7ZEmznOL4aBqEjvmtZbjybJSjCMRP3nxGcmQoIYH4nw+rH1n1I85b21g8XPXjMR7+X6CPPctTD49RiLmRzcKWa7Q6yQSRd2nOMiMQJrZ7rdkwI44hGVjIfG6PWUNjCSSrBriZGBYsuil5YLAAsTnByQsQgDiLC6k5eXlT23D4sIDrHoZHp7JCp8e8+uysDIOMjfsPj8QEGfHraOrjy7F+zTFb7tQptYfJbKF9l7/IfI3IA9vXWDT4LRYJyd2ZKVzTfbdV1kWNOg5Q2uSI4jI6u1nO5lEhaQ+HOhA8RJx9rMi2+WhglzxQN/ZEODIjwk4zI83FEt9eysJkTKbsRp1Qf5TwTGJCE3LDlAJQjrmMcZ4846hSXY8ampuHRSX4L5riySsGtkIdrYLdsqkWUSguA+NTrgz6EvtYOEwuh1bsezlfOkZ8A5zirl0aDni2jUJyXDz65x8P/wAO7ISZPWRIxHObjFhgaUo0YHzKYddQHdI0FEMqd6jPktsaTlnnToAyp090sOfWdAWWTwEAWBp580S5ucmkyB+Ro/a2i6kIAZJa9vzFtkD2UST0HKAZcLBXRXQ07jkXRf8ADU1kQBERAEREAREQBERAEREAREQBERAEREAREQBERAEREAREQBERAEREAREQBeN/p7NfVLq+lta0+Xp/pX0X4d2uW7Tze4r7vJXXurhr6e17N3s+tvyp/Z6LNfvqzYqvKmYScd/dolbp4q6adpaXsUomXm+gxunwvgiEeVfIN2TrxzIuGJ5Xmrjzll2meBoqlTXdMTYZgJgeWP47lxPkf4ttsfyv6gYifXxarn662fPmsyYbbtfbpdbT2a/Ktta/2fOv/T9n6F/L0iA13ebfGTI8uRt5XOt4Q8n0Bdeu4CM+PIN6GZ9MEO5Du6KHLX6575PzsdxPN/xA0E7y+lx4SbJUHEm61bQQUaxDjYcwlX+mXHG+TOoGEuRm3YWsu3xNh2y1oxVtusbSDYbbMry34rvl7VmB1uy4MX3Vsx/Kt32100WeZoFewnVDmWn9TZo1Tj0XFwz/AGXCKdQ+R8Ru2MtVeMhvP9S1NGmnp5k5XSpLusZJRcU+yn9lP+S5XKdl7L9iwIiLoCIiAIiIAiIgCIiAIiIAiIgCIiAIiIAiIgCIiAIiIAiIgCIiAIiIAiIgCIi5CiIUdox+ARi2+O+TduaMHSe9y7zxn6J197S3tWeM8KRjsTTquWNruHcLjbKl4z8d/ScbHf8AD1MlpF721hp9Bty+6vuw0k3S2lKenpT9n6fVESPl4JfClCz0wo/CS+w6z1z/ABy/y0eSIi6AiIgCIiAIiIAiIgCIiAIiIAiIgCIiAIiID//Z)
So 15 minutes = 90º
![](data:image/png;base64,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)
5 min = 5 × 6°
= 30°
So 5 minutes subtend an angle of 30º.
Therefore, the area swept by the minute hand in 5 minutes will be the area of a sector of 30° in a circle of 14 cm radius.
Area swept by min hand = Area of sector
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Question 4.A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding:
(i) Minor segment
(ii) Major sector (Use π = 3.14)
Answer:![](data:image/png;base64,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)
Let AB be the chord of the circle subtending 90° angle at centre O of the circle.
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 3.14 × 25
= 78.5 cm2
OAB is a right angles triangle,
Area of triangle OAB = 1/2 (base x height)
Area of ΔOAB =
x OA x OB
=
x 10 x 10
= 50 cm2
Area of minor segment ACB = Area of minor sector OACB -Area of ΔOAB
= 78.5 - 50
= 28.5 cm2
ii) Let AB be the chord of the circle subtending 90° angle at centre O of the circle.
Area of major sector OACB =
![](data:image/png;base64,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)
=3/4 x 3.14 x 10 x 10
=235.5cm2
Question 5.In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find:
(i) The length of the arc
(ii) Area of the sector formed by the arc
(iii) Area of the segment formed by the corresponding chord.
Answer:![](data:image/png;base64,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)
Radius (r) of circle = 21 cm
The angle subtended by the given arc = 60°
Length of an arc of a sector of angle θ =![](data:image/png;base64,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)
(i) Length of arc ACB = ![](data:image/png;base64,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)
=
× 2 × 22 × 3
= 22 cm
(ii) Area of sector OACB =![](data:image/png;base64,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)
=![](data:image/png;base64,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)
=
×
× 21 × 21
= 231 cm2
(iii) In ΔOAB,
As OA = OB
⇒ ∠OAB = ∠OBA (Angles opposite to equal sides are equal)
⇒ ∠OAB + ∠AOB + ∠OBA = 180°
⇒ 2∠OAB + 60° = 180°
⇒ 2∠OAB = 180° - 60°
⇒ ∠OAB = 60°
Hence,
ΔOAB is an equilateral triangle
Area of equilateral triangle =
(Side)2
⇒ Area of ΔOAB =
(Side)2
=
× (21)2
=
cm2
Area of segment ACB = Area of sector OACB - Area of ΔOAB
= (231 -
) cm2
Question 6.A chord of a circle of radius 15 cm subtends an angle of 60° at the centre. Find the areas of the corresponding minor and major segments of the circle
(Use π = 3.14 and
= 1.73)
Answer:![](data:image/png;base64,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)
Radius (r) of circle = 15 cm
Area of sector OPRQ = (60/360)×Πr2
= 1/6 × 3.14 × (15)2
= 117.75 cm2
In ΔOPQ,
∠OPQ = ∠OQP (As OP = OQ)
∠OPQ + ∠OQP + ∠POQ = 180°
2 ∠OPQ = 120°
∠OPQ = 60°
ΔOPQ is an equilateral triangle.
Area of ΔOPQ =
×(Side)2
=
× (15)2
= ![](data:image/png;base64,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)
= 56.25 × ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABYAAAAbCAMAAABP9I/XAAAAAXNSR0IArs4c6QAAAFRQTFRFAAAAAAAAAAA6AABmADqQAGa2OgAAOjqQOpDbZgAAZgBmZjqQZrb/kDoAkDo6kDpmkNv/tmYAtmY6tv//25A625Bm27Zm2////7Zm/9uQ//+2///bZoVibgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAnUlEQVQoU71QSxbCIAwkVuuv2GJRgdz/nk5SNCxYd1YwL/NJnNsFkQwWyI+ll17unx6dTt2qYQKdYH9ozXhenQug2Ld8PsM6XKCIJLqKKIwiDND98KyO7I/SiD1JhXLTkXIlUvq1qMjq5XEzySNso8Uk0hj2w9purmO6w6T1MCAEvkoj/P3Xya8eByfdBqSIFqu/dgPbJfavZwM7vL5TTAcTl17PXgAAAABJRU5ErkJggg==)
= 97.3125 cm2
Area of segment PRQ = Area of sector OPRQ - Area of ΔOPQ
= 117.75 - 97.3125
= 20.4375 cm2
Area of major segment PSQ = Area of circle - Area of segment PRQ
= Π(15)2 – 20.4375
= 3.14 ×225 – 20.4375
= 706.5 – 20.4375
= 686.0625 cm2
Question 7.A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of the corresponding segment of the circle.
(Use π = 3.14 and √3 = 1.73)
Answer:![](data:image/png;base64,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)
Let us draw a perpendicular OV on chord ST. It will bisect the chord ST and the angle O.
SV = VT
In ΔOVS,
As,
![](data:image/png;base64,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)
= Cos 60o
= ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAAhBAMAAADniazLAAAAAXNSR0IArs4c6QAAADBQTFRFAAAAAAAAAAA6AGa2OgA6OpDbZgAAZgA6Zrb/kNv/tmYA25A629vb/7Zm/9uQ//+2Yg8ohgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAASUlEQVQYV2NgQAAuAwYGbkEgwcMNJBjQCIisYACSBjSmoKCgAG5ZsAx/ojADw/cJlyYA2U9AxFYg5gXZthnM4G1g+CYo2IBmCgCC7QtgEDLcYgAAAABJRU5ErkJggg==)
OV = 6 cm
= Sin 60o
= ![](data:image/png;base64,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)
SV = 6√3 cm
ST = 2 × SV
= 2 × 6√3
= 12√3 cm
Area of ΔOST =
× 12√3 × 6
= 36√3
= 36 × 1.73
= 62.28 cm2
Area of sector OSUT =
× π × (12)2
=
× 3.14 × 144
= 150.72 cm2
Area of segment SUT = Area of sector OSUT - Area of ΔOST
= 150.72 - 62.28
= 88.44 cm2
Question 8.A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m long rope (see Fig. 12.11). Find
![](data:image/png;base64,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)
(i) The area of that part of the field in which the horse can graze
(ii) The increase in the grazing area if the rope were 10 m long instead of 5 m. (Use π = 3.14)
Answer:From the figure, it can be observed that the horse can graze a sector of 90° in a circle of 5 m radius
(i) Area that can be grazed by horse = Area of sector
=
×
r2
=
× 3.14 × 5 × 5
= 19.625 m2
The area that can be grazed by the horse when the length of rope is 10 m long =
×
(10)2
=
× 3.14 × 100
= 78.5 m2
(ii) Increase in grazing area = Area grazed by a horse now - Area grazed previously
(78.5 - 19.625)
= 58.875 m2
Question 9.A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors as shown in Fig. 12.12. Find:
(i) The total length of the silver wire required
(ii) The area of each sector of the brooch
![](data:image/png;base64,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)
Answer:(i) To Calculate total length of wire required to make brooch, we need to find Circumference of Brooch and the length of 5 diameters of Brooch.
Diameter of Circle = 35 mm
![](data:image/png;base64,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)
Radius of Circle = 35/2 mm
Circumference of Circle = 2 π r
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfMAAABeCAYAAAA3+v3PAAAgAElEQVR4Xu2dBdQ1N7WGX9zdrThcrLi7O1xci7tDkYu7OxRrkeK0UIo7F3d3d3enOHc9q8ldIc3MZObMfN85OW/W+lf//ieT7Lw7yc6W7BxOLkbACBgBI2AEjMBGI3C4jabexBsBI2AEjIARMAKyMPckMAJGwAgYASOw4QhYmG84A02+ETACRmACAoeXdGNJl5R0UknHl/RNSU+V9Nmkvdp6E0hY208Y8w0knVnSESUdW9KJJT1f0rsyqu8u6dyS3iLpS5IOkXT6gOtfJD1qp0ZpYb5TSLsfI2AEjMB6IICweoCkz0l6k6R/SzqypMdKupOke0h6nqTaeusxqnmoQCYy/g9I+mTS5LUkHSjpoZIek/z7AzsE9osk3UXSn+cha7gVC/NhjFzDCBgBI9ASApeVdGpJL8wGhUB/n6SzS7pQ0Nhr6qGRtlLQxhHkr5J0L0n/CAM7qqRPSdpD0jkkfTf8O8L85JJOJOlokr4u6QBJH99pQCzMdxpx92cEjIAR2F0EMBefRtL9JX0iI2VvSU+S9MRgeq+pd9/dHc6svXOI+YikH0jaU9JvQ+uY2/n380m6mKQPJcL8JaH+rISMbczCfCxirm8EjIAR2GwE3ijpapL2lXT7bCj/LelgSa8NpveaetfZbDj+g3qE9l6SfiTpHckvxwxuiRNKOmv4nZ/RzC3MG5oAHooRMAJGYFMQOK+k20h6hqSvZETfXNL+QUDxe009vmm9XFjSh0OAIOb3WFJhTowBh4G/7QYY1sx3A3X3aQSMgBFYTwReLem6kq4dNPQuKmvrrecox1F1XElYM74h6c4hYj0V5h8MEe34zI8u6XSSXirpbeO6Wa22hflq+PlrI2AEjEArCJwp+NDfH4T53zsGVltvk3E5gqRbhNiC6wdLxeOTgLhUmP9T0hMk/Sv848mCT/1h4bsdwcHCfEdgdidGwAgYgbVGAOH1CkkI6itJ+lkHtbX11nqwI4nDX861PUzttw6+89jEKST9XFJ+8KE+LgpcGt8f2d+k6hbmk2DzR0bACBiBphC4Zwj8uoqkn/aMrLZeU+AE8znXzbiCdhFJ3xoYIK4KXBHg9bSdAKNWmJ8xZMS5QCDqlyFkf78kgOK2wUdASL9LPwKXkHTFEBHJ1YdXhsQNxm33EViCN5u0fshedQ1JJwhJQzAfxus5u88dU7AEAvAbLRKz8q97OqittwSN69Am2fFIKPOCgBfyk7v5fy0QdwVJbw+JZsgmt3gZEuYkDHhccOg/OQQBkK6OcixJ3EnktMLfifC7eCGSj9+4AvH5YKpYfFBr3gGp/0jWcClJd5B075CgYeikt+bDaoK8uXmzievnVCEV5X0kYVLlXi1pKbetbEsaU+5MI2zul2UrI71rKthr6236PEGGIYjJgPfDbDB3lPTskO4WxRafOOuEYEEy6aXlcpLeGa747cjVvT5hDoHPlfSckK6uFAzBhN9HElcTyJiDPyEvmCS4YE8iAga+7QUtnNMcQRVkGiJSkkQFv992YNZg/HPyZpPXD0KcTGBkubrpGvBlp0nYljSmZDK7UUhRmu7v7E9EbaOJUmrr7TSf5u7vKCGFKxnwGHt6BY2+wAR5hwJ7UUmvk3RVSTcMWd9SetjfyQSHMkxynsVLlzDnBPKUoHlzEukr5wlp7kjaz2aYFxYGQRWkuYvRfosPbE07IGH/FwK2T5dEikDyIpfMNGs6hGbJmpM3m75+iMbl/vFdwxWbZpneMbDadKebnMaUzG7kG0c45YraGYLlMGaKq6nXwhzhEMs1M4Q5CiqJc9KCckuSHVxPWDLIvY5CRo77vFCH9XPBYJVeHJ+SMCfjD4577slhBh4SwMcJwpwISF7dcelGgBMu7gZMMO82UGuFwFy8aWH9sJa5V8um9rW14tLOEFOb7nRqGtNzSvqFpB9XDAdliJfNuC7GFag5CkFcbw7BXKU2sRZeT9IXK+u9Zw6iJO02LgwDjfoYkngoJS1kfvtMcEUQV0O0Py+pEStG5HoqJzkMfyzIUJLK7EjJhTlE8FIM2iIh9V3XE1LiuCjPlQbMNdvoWxvDqJuE+AHSAX5vzIeuuzgCc/CmlfWDVkFU87b6y2vTnU71hWK+RfO78oBAR5DzShemXAT6n2ZaBS+TxHzvKjwugjX1kZX1vjMTXbuNC8NAJt4yJIF5Q7CknlLSo4N79FaS0vEiJ3FFocUT94RSwLOnmOAxsc91ABuEOBfmmFzwCzwkMHKwgRCyf7dAeFofAPAbIuBfnJmS6ZfQfUw9rw8mePwVnAY5FQIW78NyqMgLk4x2eVqOYDxM+39MKtEvi4zf8n6pxoZ7pOzuX4ke6p5L0mUCE3kxh7dsoYmUfSww6OcwgyWjK4CNBcmmSJ9YOjjVMSHAhQCLPqF+trCpUpe7jAclSQtWwbC2XSZz1MwiFtGvFLHomiNDfEq/66OnZg6W5giRt5gPmSf4rkoxCavwpkRXC+un1l8+N8+m8Hmpb2rTnU5NYxqFNHnQuwR6TZ2lxr9b7daMuabOHPSjnXPjCOGMfCGGBBlQkklkfePwy5pgP+cw+Ks5iBjTRirMEXL4gNis2bhJXTe1IOSICCSEn9MJJ700CICBI5x+FyL+8MlcOpglEMacHHlXFwBjwZxPW5xOeU+WSEtMH9zj49TEpk2/tM2VOUwfbOZpv0wEhBAWBywJseT0IHCvHk5l+ETAhGsGCG1OYAQ8IFhhHDED/B0/27cLgCHErxmEPm8IQ3+8d4jZpuR3I6KYAAzMXNwi+EPwvWCeZ6yUKRjWtIsQxPwHb8CKqHv6wtefY4HwyksNn+I3NfSMmYP0TaAlc+HhYY7gs3qWJGI6iNtIyxTedNHTwvphbDzn+NVwqMfVlpe5eZa2z/pk/fPfqQVzJ4fkIffg1PbnSmPaJ5R2SmBNxWDJ74zLRHRTYY7ZBSHKM2+E569iHsBcQuAcGiWTH2378oFGTv4EBiDQyJ7DBov/GAHJJozJHg0d4U4wAoXvCf1HuD8onI5gOocF7kZitiZghzuA9Eui+7xf2jlJ0DRpIwqiEj3k1IXG1KeF6QS6uLLAAwTxnVs0c/zgtEdQW1fhpPfZEPX/4J56jIXXeniCMG0PXiHY8dNxOhyL4dR2u7CAP8yTdNOs5RPDr6EnYlwzvUt9x++Ya7xTjDWltMnX8qaPjhbWD+Pj4Ia1rOQvn5tnOZ70ycGYNTm1wF8scxw+5y5zpzEtCa5tFuSRX8ZlwsxNhTlC6nZByKLtTi0IaDRITNzHC4sK4YcfjnLaoGVylS3exeP6GocICidztIP4uDuM5RUfTF9oWdGkjqmbTQfBjZZNkovYL39Hq0W7jf3SNoE9bw3+EARrFz1s+pj50/LyYCLnLjJJc2JBiNAXeXuf2QMaEaIcODgQ4E8pFcw17w0WBYRl+voOG8nNwmFmLIartNuFBVaQVJjX8okDXi09tXOQzZ/5hjBgLnEoTAtBKgj0rliFGt4M0bLp6yfGu3BgZJ2w3tIYmLl5NoTnuv2+VBrTKLiwiLHWiJbuM79PwQW/+04WrGKrlhZxiZjMgc9h8E2FOZovkwlNl41xauGKDwUfJZGBJEhhY4i+1/R3tF0SFiAgU7932jfma7RDrgJwXa6rpO3SJlo77oI0wh7Bjq+eqElM15ScHiwE0BN/pw73Lj8R/pApKS3nDwePGHHaRR++MQ4I0YpQqhdTAOJi4ADDhEZw47vBqoCJHfP3WAyntlvCAtM0kZr84QpWLLV8on4tPbVzMB4KSWJUmiOPkIQ1ZM8Oja2GN0O0bPr6YXwILFwpuIvy++Vz82wIz3X7fck0plFwse5xETAf+1KqjsVmE4U5Y2wNl8i3xYU5wU74ifFfd2mO+STaI/iMS/U5KKAFU5iceeAAjEILJVCAPrsKGjFmMzbi3OfZ9Q1jQZPAbx/NqkP99f1Oikt820Q55nfpCRZE8yNQoi/tJaZ9DgKMoytBDCZGDlSY7OPVFZL0c4+x1PbQmCI+c7Z7lnBFAwsDgR6xjOHTWHqGNq8DQwrSrjkCnQQyYmrPszrRdg1vhmhoYf1gVYv+8pdkA56bZ0N4rtPvS6cxZa/ksIl7kuDfuYX5OmE5hhbjMgKtVDOPeWfZpF9T2QZmeTax0imSjZPoP7LCEU2cl+i/RuPGRFkqBJ7RBkIL7T6mku0jjzuUXw4BUGmAVuyPgDiy2o2hh8MEwgozbqrpo6XiHsB8vtcAZrgE0KgRKqWIyJiwALM9QXU1Y63BcO52yeJHClosDDFicwyfptDTB+1Q3+CJ/5RgRawnpViQId7ULIcW1g8HSQ7mHEwR6rHMzbMaPNelztJpTKPAYt9FmUI7J75o2wW6cRm5AlJhHk2VmL77ArRiFzzAjmAiwUKp0AYTEwHIpk+E+IeTwDEmLIFeCOlPd7RBcBlaKWY//Hg1hcWHqZDcuZjGY4njw/ROm9T7aIGe+HvaF8Kf5+9oM/VjQzttsAhxBeBHxpefJ8+J17mwRBC4ViocWEgMgSUBoVMS+Pl3NRiu0m6OBYcXghKxkHB4oW385sQ31PJpCj19fI9zBMwJ3soLVh9uIOB6QYPPSw1vauZdC+sHFwUunegvZx4SdDo3z7rw5GoP84sD2NSC1Yu9ppSVa2ybS6cxTQUWc5dHqsCaWzvbLNCNy9iZGi7Ix8/wCyOQThqEVpcPm/ok4UcrZ/Gnwi22xaaPkENIY4JGwJH6Ln0KjgmLTz31X+dDYGJzJYx0p2TWKhW0CTTjeC2Ma2BoF7gA0hfcSIBAABkLlAXPQSNNVQs9aOC5/z76iBlL7i/HB8+d9+hjxwpB3/kdw2i+xMfMjYGuwhUq8GAzKkVd52OtwZC+prRbwoJxIrjj4QXrC3/wF4/h01h6+qY2c4QHDQjWAp+0MKfJToWrAt6X3heo5c3Q8tr09UMedg6TuCGIlWCNcxAi9mTKHBrCq/Q7vIQfq0SzY3n50QxX02rTnU4ZJ9+UBFZsa5sFunGZOKPypDEEW7Gg0ZgRdqWc4ZiAOUUimLsEfjRtooUi3IjMxmyMgKdEXy9+YPxRfQUhTl8Emv0mqUgbXAei3dQtwOmeLHYInmgqxOdNUB+bBBo50fIITEznKT0l/z0WCMz2JIjI3QX8Pxp03Pzi1bV8PPSFhgN23C3vKghy3BbQmB5ESmMdg+GUdktYwHc2d6wt3PPngEaAI3fnx/BpDD01U5sDHGZukvPEl57gNTcMOGwQzEXgYKnU8qaGjk1eP1H7Js6FQEswZf3EwNW5eVaD527VqU13OjWNKfsuaT7JfYAlpPRsNPzgeirWz50yuZO3I72ps9P4rysuO43DpP5Kudm5GobGzcmU/LS8eIb2TXARApU71QjBoaQMtIG2RH0mJvfHYyG5B35MnpBDGPQVaCRzGq/UEJQTaUHbJ79wnjua+vjFETgkxufaEfeVGQdJMNDQeaWM5CIxYr2PHhYSQW+MHw0vLZhWudvOYQPTJFfT8mtR1OdQw/1waOoSKrFdtCEsFmDfN9YxGNL2HO1y1ZDNHosESVJwZ8Bfylg+1dJTM7Hpmys9HIKYIzy7y8GDQx1uoJJGHtsdw5saWjZ5/WCN4TYLbiUOsVhQUnfPnDyrwXK36tSmO52axpQsm/xhb+nLABkFOnsft0XmSudawhV3ExYuLJCp0pTXxXWZX9udi0/riEscG7zg8IXrCes1litceygR8ZrzXDhMaqfr1TQaw0yNRo1QxyzNxg2jh4R4JIS20YiZgD8pUEcmqTHmMF4YQ8tCWHKSHcoDj3WA96QxH0YBin8V4Y7PN7c6dNGDmZ0NumvhcqedhPscKrqw4SBD8FuXqyCHB5MtY2WMfWMdi+Ec7cY2SF9bOriM4VMtPbWTO/aNxQh+1czVsbyppWVT1w/zGQ2NNVKK25ibZ7V4tlQPCx1Bw7UPreA/J7HWmCRKY/HicA7Pj9nzIfsRh+SpFokhmtYRF2hGkJO9kzgMXIqsC9YBWUaxYKPQdQVxD415tt/7hPlsnWxpQ2jOHCKwIBDxjtaeX/fZUmh2fdjmza6zwASsGQIE92KlwsVaOsThvkRe/M+a0b0T5GzEk7gW5stMBQLlMFVilsEsRXAYprLd9EctM9LNa9W82TyemeLlESDuh+DW0vsS5OxAC8V9WbLGLU/d7vaw9JO4s4zOwnwWGA/TyL7hRgA+Rq5EIcS7rvAtQ4Fb7ULAvPHcMAKHRYAEWwTp5u7HGJR2cMejUNuA5dJP4s6CoYX5LDAephF89QhyfLYEkxBQU3NvfBlq3GqKgHnj+WAE6hFAyBMzNBSoXN/i5tVc+kncWRCxMJ8FRjdiBIyAEWgOASK2eW4aX3rfjZDmBj5iQHM9iTuiy3JVC/OVIXQDRsAIGIEmESBPA1kr4xsbTQ5yhUHN/STuCqQcGp3oYgSMgBEwAkYgRQB3FAm/LlWRG2MbkVvqSdzJWFqYT4bOHxoBI2AEmkWAtzVIrpWnSG52wCMHtuSTuCNJObS6hfkk2PyRETACRqBZBMgG97GQqGbvZkc5fWBLP4k7iTIL80mw+SMjYASMQLMIkCDmi5LuLukZzY5y2sCWfhJ3GlXWzCfj5g+NgBEwAq0iwKNS+0u6VXgjotVxjh3X0k/ijqXnP+pbM18JPn9sBIyAEWgOgX3CQzDkyiAIzuXQN0rAA2zya3q890Gg4K4mBrMw9zQ1AkbACBiBFIGDJF07CC8Lc2npJ3FnmX0W5rPA6EaMgBEwAs0gcEB4hplI9qWeO90ksJZ+EncWLCzMZ4HRjRgBI2AEmkGAZChXkrSfpEOaGVXjA7Ewb5zBHp4RMAJGwAi0j4CFefs89giNgBEwAkagcQQszBtnsIdnBIyAETAC7SNgYd4+jz1CI2AEjIARaBwBC/PGGezhGQEjYASMQPsIWJi3z2OP0AgYASNgBBpHwMK8cQZ7eEbACBgBI9A+Ahbm7fPYIzQCRsAIGIHGEbAwb5zBHp4RMAJGwAi0j4CFefs89giNgBEwAkagcQQszBtnsIdnBIyAETAC7SNgYd4+jz1CI2AEjIARaBwBC/PGGezhGQEjYASMQPsIWJi3z2OP0AgYASNgBBpHwMK8cQZ7eEbACBgBI9A+Ahbm7fPYIzQCRsAIGIHGEbAwb5zBHp4RMAJGwAi0j4CFefs89giNgBEwAkagcQQszBtnsIdnBIyAETAC7SNgYd4+jz1CI2AEjIARaByBWmF+Rkk3kHSBgMcvJf1W0n6SvhL+7baS3ibpB41jNsfwLiHpipJ+FHB8paR/z9Gw21gZgSV4s0nr5/SSriHpBJIOL+kJYY6uDKwbMAJGYDkEhoT5qSU9TtLpJD1Z0hslHRLIOZakvSV9XBJ/v5eki0v6W0Yuv+0r6fOSHrvcUDam5XNLeqGkS0m6g6R7S7qQpG9tzAjaJXRu3mzi+jmVpEtKuo+kI0g6n6S/tMvyqpH9l6QnSbrpwMGmpt45JN1E0u9Dz8eV9HxJX6+ixJWMQAcCfcL82pKeK+k5kh4l6e+FNji57yPp5pJeJenWhToXkfShsBjYILa9oIUfWdL1JX1AEosZYR4X97bjs5vjn5M3m7x+EOLvk/TdIMB2kye71ffNJJ1J0oklXV7SUSWdXdKvMoJq6/HZRSU9XtK1JP0itHNSSQcHZegjuzVY97v5CHQJ8ztKekrQvJ89MMzzSPqUpBtLYjPMCwKfRcHJ81+bD9lKIzi2pC8EbJ8eNgjM639dqVV/PAcCc/Jm09fPyYL77K6SXjoHuBvYxrmCFv59Sa+WhFJSEua19Y4h6ROSHhiEdwoJLswHhUP9nzYQK5O8BgiUhPnVwuRlEWMGHhLAxwnC/EqSvrkGY1pnEjCx4W64nKR3rzOhW0jbXLxpYf2wlnGpIby+toVzIR/yQT3CPK3bVw9t/CWSMMUTK5OW00j6qqTrSnqT8TYCUxDIhTkn8k+GYKzzSvpZRaNHk/QKSTeyb20QLXxlxA+cVdL3Bmu7wk4iMAdvWlk/BL1dxf7y/59+cwjzl4UDwZ6S/phNbBQiLHZvl0QgsYsRGI1ALszxf99Z0kMkPbKytaNLulsIlEs/OaUk/IYEz7w4MyXTL6dQTqSvDyb4o0i6XvAhf0fSWzoivDHZ0+6fQzAepv10cdDvdcJveb/Qx4Z7JEmYz2Ip0cNvmNAuE3zcuBLeFWg6oqSrBvo5zGCG6wpgw81AEBF9YukgWvpWAZcfDgj1s4VNFQx/LolN5R+B6FUwrG33DYlmFrGATxz4IhZd02SIT+l3ffRUTsP/qEbfRGQT58E8OaAjJmEV3pToamH91PrL5+bZFD7v1DerCnMw/WAIFEZJyt1q7CFY7FCe2B+GrKFL7ltL7oU7xa+t7CcV5gi5L0lis2bj/sYKiCCkryDpBUHII4Dun7THqR/h9DtJ7wwBIZcO/jmEMafYO4UgnPgZp1ci6/EpPUbSryWdUNI9JT06bNr0S9tcmSNyns087ZfNGyHEosGSEEtODwvq6uG0TJAamHBqRmi/VtINg2BFuyZmgMV+WUnfLmCGEL+mJBbsAwL9Twv1PhMwzz8jovipkr4YbhH8QdIFg3mesVKmYFjTLkLwx4E3YEXUPX2hOeRYILzyUsOn+E0NPWOmIX0TdYwAf3iYI+D2rBDTkUcMT+FNFz0trB/GdvJg8uVQX/KXz82zFE/WJ+uf/04tCEIOybUCsaafVYV5FNZc571wciCPfcffiZ85Z3JjaIi2JfatJdocGod/nwGBVJhjZkSIElHJFbN/rtA+19QInEOjRAASsU1EKIVTKoE1CLRTBK0c/zECkk0Ykz0aOsKd0yyF7/ElEWFLoAiTngXPYeEWwWzNffd7hH65Hpf3SzsnCZombURBVKKH+/LQiFCLhYh+6HqepGckCzIuRNojqK2rEADz2RD1/+Ceepjg3yHpiVl78IrrgfcN4x+L4dR2u7CAP8yTdNOs5RPDr6EnWiFqpmKp7/gdc+3MwZpS2uRredNHRwvrh/GxmWMtK/nL5+ZZjid9IjhZk1ML/MUyx+FzrrKqMGduQs9PO4Q5lj72Xephho/Xf/voX2LfWqLNuXjgdgYQSIU5Qup2Qcii7U4tCGgCvDBxHy9MYoQffjjKaYOWyVU26qGZEykar2VwMkc74P46BaG9vyTMU2hZ0aTOAmDTQXCjZZPkIvbL39Fq0W5jv7RFYM9bJXGfGMHaRQ8mdMz8aXl5MIHxLUlzYmEB0hdXTp7ZA9oZQoQwB4LXddTDZfHeYFFAWKZ39jEdcw2Gg8hYDFdptwsLrCCpMK/lEwe8Wnpq5yCbEPMNYcBc4lCYFvyQCPSuWIUa3gzRsunrJ94l58DIOmG9pffL5+bZEJ7r9PuqwjzuR1gMSpr5FGFe2gNW3beWaHOd+Ng0LakwR/NlMqDpsjFOLVzxoXBvmrvUJEhhY4hRsenvaLtcy0BA5kEhsX/M12iH9wtXurroStulTbR23AVphD2CHV89pixM15ScHiwE0BN/pw73wrlWwp/bZAScPxw8SLTx/h7QrhwOCAiUmDUvrw5tWBRwMXCAQUCywMgWh1UBEzuuibEYTm23hAWm6Y+FP1zBGssn6tfSUzsH46GQJEZcqczLIyRhDUHrKWlsNbwZomXT1w/j41CEKwV3EQlS0jI3z4bwXKffVxXm8dojrsU+MztjrtXMl9i3lmhznfjYNC2pMCfYCT8xVyi6NMccjD2Cz7hUn7bRgilslnm6UgQVWihJGOizq6ARYzZjktdmSWIsaBL47aNZdai/vt9JcUk8wS0Ld+kJFkTz42oTPrGugkbNQYBxdCWIYdPgQIXJnqQSmPkJ1PtcR9tDY4q0zNnuWSTh68fCwPWlWMbwaSw9Q4vwwBDw1jVHoJNARkztaEd5qeHNEA0trB+salyRwl/ONaq0zM2zITzX6fdVhTkJZz4dBkSMTZ5RL7rq+HeCZcfknVhi31qizXXiZ5O0pMIckzQ+Zzbp11SOFrM8mxi+oLywcRIBTlY4oonzEv3XaNyYKEuFwDPaYHKh3df4kk4k6cshACoN0Ir9ERBHVrsx9HCYQFhhxk01fbRU3ANo2nsNYIZLgJMvQqWUhz1GvGK2Z8HXjLUGw7nbJYsfKWixMMRsWGP4NIWePmiH+o7+SoIVsZ6UYkGGeFOzHFpYPxwkOZhzMEWoxzI3z2rwXKc6qwpz9tn/lUTwIAfO3A1EymssRigrKCBjSt8eMHXfWqLNMWNy3QkIpMI8mioxffcFaMVuyNeOYCKvcKnQBubimDWJCPEPJ4FjBMQR6IWQjqfWvB1OrGilmP3w49WUiwVTIY/CYBaPJY4P0zttUu+jBXri72lfCH/MY7SZ+rGhnTawaOAKwI+M/ytPnhOvc2GJIHCtVDiwYKbHkoDQqXl4pQbDVdrNseDwQlAimw6HF9rGb058Qy2fptDTx/c4R8Cc4K28YPXhBgKuFzT4vNTwpmbetbB+cFHg0on+cuYhQadz86wLT667Mb84gE0tWL3Ya5iPc5VVhTl0cBMHCx6WLcztaSGlK7eHwP+hI4mOe8Cc+9YSbY4clquPRSAV5viFEUhMLIRWlw+bPo4fguWYfPnDKvzOpo+QQ0gzgRFwdwlBSJFGJjc+9dR/ndPPJsKVMMxOZNYqFbQJNON4LYxrYGgXuADSF9y4N08AGVoHC56DRpqqFno4yeb+++gjZiy5vxwfPHfeo48dKwR95/mbo/kSHzM3BroKV6jAo+uuaT7WGgzpa0q7JSwYJ4I7Hl6wvvAHf/EYPo2lp29eM0cIosRECT5pYU6/J7gq4H3pfYFa3gytrU1fP+Rh5zCJG4JYCdY4ByFiT6bMoSG8Sr/DS/ixSjQ7lhcyrK3T1TTGyrom1gQlgjwNaeHfmMME+HLffExZYt9aos0xY3LdCQjkSWMItmJBozEj7Eq+G0zAaEBEB3cJ/NHzYhoAAAObSURBVGjaRAtFuBGZjdkYAU+JPhl8zNxr7isIcfoi0Ow3SUXa4DoQ7aZuAU73LBYETzQV4vMmqI9NgoVDtDwCE9N5Sk/Jf48FArM9j8nk7gL+Hw06bn7x6lo+HvpCwwE7/M1dhQWP2wIa04NIaaxjMJzSbgkL+M7mjrWFe/4c0Ahw5O7/GD6NoadmWnOAw8yNvxG6KPCaGwYcNgjmInCwVGp5U0PHJq+fqH0T50KgJZiyfmLg6tw8q8FzXeoQc8EtCVxLfVkx++qx17JW2DNJshUtb/w7WSGZrygDNRa5iEufb3vqvrVEm+vCx6bpKOVm52oYGjcm4xeFF8/QvvH1IFA5OSIEh06+tIG2RH0mCPfHY4npCx8WJngfyNBI5jReHCIoJ9KCtv/mQu5o6uMXR+Dw6hvXjrivzMttJMFAQ+eVMpKLxIj1PnoI3iPLHONPs8ZBM6ZV4gw4bGCa5Gpa7g+jHoca7odDU5dQiRigDWGxAPu+sY7BkLbnaJerhmz2WCRIkkLkc9QkxvKplp6aBUjftw+HIOYIPkgOHhzqcAOVNPLY7hje1NCyyesHawy3WXArIQywoKTCZU6e1WC5m3UQuLxDz7UyDuHsN1j/ONiDCYGv7B+19RgLMTPsSRzoiedh3vI9hwSUpz5raAmLJfatJdrcTT5uTd99T6BipkajRqhjlmbjxtQ8JMQjeLSNRozW9pMCogSDjDGHERGKloWwRGsdemMZ6wDvSWM+jAIU/yrCHZ9vbnXoogczOxs0KWZLhcXOM4loMF3YcJBhIXe5CvJ2MdkyVsbYN9axGM7RbmyD9LWlg8sYPtXSU7sgY99sivCrZq6O5U0tLZu6fpjPZFZkjZS0xLl5VotnK/XYFzkcEG/E/MQN1BUzVDPmJfatJdqsGYvrrIBAnzBfoVl/KokTLoeImBACrT2/7mOgdgcB82Z3cHevRsAILISAhfkywBIoh6mSN96JqCc4DDdBmjlumZ7d6hAC5s0QQv7dCBiBjUPAwnwZlhHQwo0AfIxciUKId13hW4YCt9qFgHnjuWEEjEBzCFiYL8NSfPUIcnxiROBzHW1MlOoyVLlVEDBvPA+MgBFoDgEL8+ZY6gEZASNgBIzAtiFgYb5tHPd4jYARMAJGoDkELMybY6kHZASMgBEwAtuGgIX5tnHc4zUCRsAIGIHmELAwb46lHpARMAJGwAhsGwIW5tvGcY/XCBgBI2AEmkPg/wAeBnUEtYC7kwAAAABJRU5ErkJggg==)
Total Length of wire required = Circumference of Circle + 5 x Diameter of Circle
Total Length of wire required = 110 + 5 x 35
Total Length of wire required = 285 mm
(ii)
A complete Circle subtends an angle of 360º
10 sectors = 360º
1 sector will subtend = 36º
![](data:image/png;base64,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)
Question 10.An umbrella has 8 ribs which are equally spaced (see Fig. 12.13). Assuming umbrella to be a flat circle of radius 45 cm, find the area between the two consecutive ribs of the umbrella.
![](data:image/png;base64,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)
Answer:![](data:image/png;base64,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)
There are 8 ribs in the given umbrella. The area between two consecutive ribs is subtending
= 45o at the centre of the assumed flat circle
Now we know that area of a sector of a circle subtending an angle x is given by
![](data:image/png;base64,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)
Question 11.A car has two wipers which do not overlap. Each wiper has a blade of length 25 cm sweeping through an angle of 115°. Find the total area cleaned at each sweep of the blades.
Answer:![](data:image/png;base64,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)
It can be seen from the figure that each blade of wiper would sweep an area of a sector of 115° in a circle with 25 cm radius
Area of sector = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHEAAAA1CAYAAAB2twSqAAAIvUlEQVR4Xu2cB4wFVRWGP3ovgnSkhWKhhF5VQEDAQCBiRaSjdDASQsdY6EJCUQlFkCqgAgZUkACi9C5BQEMvVnqv+ci5yXUyb9/kvZlXduckm82+N3PLOfe0/5y709DS2HNgmrHfQbsBWiFOgkMwSCFOC2wLzA/MCtwN/HYS8HDoWxiUEGcAfgrcHr9nAq4CdgP+MXQujPkCBiFE5/gBsCzwFeC94Nl5wEPA98ech0Nf/iCEuCFwCbAu8Ldsx2cCCwGbD50LY76ApoWo2bwBeBT4WoFX54d2rg28M+Z8HOrymxbilsDlwCbANdlOnfc6YHagFWKfR6BJIRqN/h74OLAC8EK21jmAeyOo2bjPPYz66x8BPgG8ATwAvFn3gpsU4pLA/aGBWxcWrlDvA84Adq17UyMynof428AswJ0RE2wP/Bj4GfB+XetsUojbAefGBhRmTh8DPge4KZ+ZjOTejAVuzDb3ReBS4JvAL+radJNCVMt2BlYPM5Kv+ZeAZnRF4OG6NjNC40wXscAtwDHA27E2QQ618jVgrezzvpbelBA1JZ7ABYCVgVeyVc4ZaM0zwPrAu33tYDRfNiq/C1gcWAZ4NlumAZ1xwvLA/+pYflNCdBOeuKeATQsL/SxwPfANwDSjaRItWg3wYPVCHrI7ekiD9PtzATdlk84cfDGl0kK91cuCiu80JUSduYGLp+5bhUmF3wQAZOxLdWyiyxizAVsFZnswYGT83UK0nA/x+Thgt8Yh+xfwm5qiyjWAPwMHAcfXtfemhOjp1x/8CvhhtthFw5TKxHPq2kTFceYJ3/xPQGZ20oILga8C6wA3Vxy7ymPy5NfhWgz6kp+s8u6EzzQlRCe9DHgQODRbwQnhI4zSattERS6sB/wJEO7bpcM7Bh6aTrW1mNtWnKbjY/sDrsHI9NV+B8vfb1KI2wTUpsCkTwPHhmlTGwZNmlKtwtcBta2MPgXcA1wLbFbjAr8U+z+gJrP8f0trUoiaD+2+JkmHbkh9GPDvGplTdSj3KXr0mYgK/97hxR2BswCZXZfP8vD6Y6qRIvFVAwgZ6cAm8UjmLQe8DDxdleMNPJf8oUHKRFFh8ofiufr0IrkfLcwSkQea4xqJq2lzR3JvnTShMZpkD85PshKcY+4LnNpDxFvKmiY1sQFZ9Dxk8odqmQBEGeX+0BzuxZKHLJt5EPxOQF84cYNAXwzarJHuEZUbYUf9r/lyEqr8FvTXMu3V824KL04VIVb1h38Fru5Q4xSF2Rs4CVgkkKY/RiQrAnNBaKRCNT1RyObEZWSwl0ftfckzF+IRfY00Oi9/r+SgVvGHO4XmmP4YRRdJzVoTuAjYKISUpyFq4sLAbYNmxVQQYlV/aPeB/q6TPxQulAQobDex1aQIKQ5afh/ONxXMafKHPweMPjv5Q2FC/VUnf5jeE74TNvxv+MShCC6fdCoIMfnDibBa88OJ/GHOM0F9G7wOjLpgK8SGOeAh/V0EGBOVvbr5w3yZltD+AJjrWakYOk12TbQ1wpaI/wReaotEGXXzh/k7RwNfBlaK/LcVYg8cEAnSL1XpVbFaYhpwcaQCZdOl+qZJu/4w7wUqPp/8oc/YBDYSNE6aaHnLEs68wTkZajrxXIGTJtJGjzYnWZT1b/O4R6KWd1Qk3wY54qNLBdpiU/NjwOOAfrQMHrQ+aKvJkQHPjY0QZZbhtPDZ9IAn1/sUtl8IFHeiBSM59oTLRJlkvlZW3hGe8p5Gqi8KYTl+3rphz4rjaPokhWTyLUIySLI/SAgxdbIPcu7Subppot/vFyUcSzSJhJvskxEg+FHJyKliYbeXrYmSyfKJ0QGWa4+d4YLDjplOvwfA2tt3MqErZA9RqkMaqNgppyCnNHUTotpnDU6UQoamTu3UZrBY1N00Q4k+GRonKJyDyMJZtmoIRaUOMKvuXrI5JISWC0PtF56y+mH9TV/ogTIdUAv0Sx4gg5YpTd2EKAM1f09GZ1py+mqEn9tiYTJty4Hk515XE/AVLM57K22R2CJaI56P59U+WxZtHCpWOawUeHdDFCW/Auea/RkZczbsE9RNiArFVgIZbG6USGRDM/lRQM1LAkg9JPbVWDHoRqL+4o+axrwjzvdSEKEfnawNxt34U+n7bkLsNIj44l/Cx2lmE1m5t6AqUCwQbCSpwPWBxZTAqoCdYLZCmDgXv0/NVnYBWJNrNa+DNHoRopHjlRGy7wm8HmM7lt1t9pIaOer7jDbFGDWJT0R7RqpmJyFpossu1aTvNckm1mmeSqdzKj1UVYhqzQ5R0Rat0I8ZUeZX0kwljGBNmC3nCDgrQMn3bV+3idZiqFrlYTDnUkvLhJj8rs9pblsh1qiJmkcTZhlvlTylEElzlgb2AU4uzPmFCFDs69S/amoFnW0wboXYh+moqonFKWxl0OfNF4GJ9+5T17cpgFGt1e2c1FA1T400/RA08G/bHSYyp47RauIEQu5ViA5p4m7elvo4RXbMKVO0WXYTSr9o3U4hay5TFWCVuL+XLzVptqC1qUwVrLSP8zy+r3YTosiLt3y9T6fZy2l34LTo0zS1sBnYPhOvdas5nYSo+U3PGwgJY/m8kFpORq2OIfTmGlrqwSfmgYpal6cSDmdkekqYVaEzg5zUt1nWAp/MqfW91JhrWccc0GhWs5qT0JugtZcyJ0v/TyMHcSJNTHmczBd89l5FTl6MMak3N7TKLdkoZLBidFpM9tNtKKPchH+aOug7RX1ybNax/MyOMXNOL+e01IMm+orphPjm2YX3RWr8j1CaQBPxvC3/8LhA6k3glBN6WPSd/i8bK+N5bqmwRWuMaPP+zNMjNTECru1q9GQ8Cd18ot9rIu3quiJ8lK159kzOCNjW4JXmnASqj4sUQoBaQWt6BdM1nUWzaZSqVnsoNM/OqUCF8ywzFeG4ySiHvvbUTYh9Dd6+PBgOtEIcDJ8bnaUVYqPsHczgrRAHw+dGZ2mF2Ch7BzN4K8TB8LnRWT4AbGu5RcxbZnsAAAAASUVORK5CYII=)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAK8AAAAzCAYAAADhNlhNAAAKlElEQVR4Xu2cB8x0RRWGnx8ERRREsUtTBAF7wQYWmgqCoBRRQRGNxgZqlNjRWFAJFjAqQYqiCIpgACNgwBqKDRUr9ooi2LGXPPFcMxnv7t727e693z3Jn/zf7p2ZszPvnDnnPefOGkYZZ6CnM7Cmp3qPao8zwAjeEQS9nYG+gPcuwNHAk4DfZrN9GHAv4GPA14E/A3cCHgr8BXht9vw9gUcDNwDWBW4MnAV8asoqTht/LeAJMd5tgJsD3wXeAlyR9FlXz7sBTwR+H33cDDgB+E5v0dax4ssM3oOBrYBbAbsCNwLuClybzcHLSgDqIycBzwGuT57fHbg1cArwr/jcfl8PfB84Lnm2yvgC96XAV4BzgX/HhngD8CzgcODd0WcdPR8MvBHYB7gm2rsx3GQvAC7pGAe97G6ZwauF1Mr+GPgQ8KAp4L0dcEtgvbBMpwOXZytyU0BQPTdAln69PnA+sB/wi/iiyvg7A5sBJ2ZjadG15G62B8SJIHir6Kkunwd8XrCmcgDw8ujzT71EXIdKLzN405955gzwvhf4yYx52T4Wfq8JzznGW4HPlHw/aXyP8c2BlwTg0qYvDFfnzcCLA4xV9NTa+pyuys8yXRzrW8C+Yek7hEL/ulpN4H0gcEH4u7l/q/+r5T0U+GEN8J4T/R0PPCNrt3dYzo8Aj6sB3lNjo94d+GPW54bA10LXp/cPbt1qPDTw6oMKxL+VTJMLbwClD23wpwthQKcILo/3F02xymVuy32ApwFvB76ZtX0ycHJYUf+vG1BY3kl6rg18FtDFse+/Zn3qFn0V+CXwkMRv7xYV3fS2EbBNzLGBdP5bWo8yFPC64DIOLq7swR2B9wEfL7GGp0Xw942wlj67aQRIf68J3mkLoJ/u8f7YsMCCd5aeBTj19T0p/jEBvAaG9whmpTUIOu7AjfnMWIsvAgafbt5jInhV905kKOD9J/CmxBLdFvgccGRYu3SyBIUWUSZD8Vh/CvCHKTM6zecua2bfBl2fDvC6KQTvLD2lw3QLrp4AXk8VmQaf062QFlw2Eag/iN9e6ObJ9mFABkej0okMAby3B34F5FZTt8Aj3eNXxkLRKviZ4BYAzwbWCZrswBKGopjkOuD16P9AbI5HxhFvP1X0lEG4EvhpT8Hrb/8ocGl2knkaaoWlLXXPJp1wtUA9BPBO+sEe2R7dzw8WwYk1cfDl4IBtp6thsHVf4NcRKF1V0mEd8DreQYCcshZ0lqR6Srlped2M09wG+1xGy3tD4EtBH945oR3V96JgUKQPr5s1KVW+7zt41V9OtSwY2C2i8jMA+VGZBOky/bHU79LySnW9IvjanDVwHquCVxpOy64bki5QVT09cl185d5JQFmsZeETG2i64ToPgqqAZsYzZgYNjvXvCzERpOXVh7/fhIC69tB9B+/rgiEwKDLDlcouwIXh05p8kL89IpvU9Hn5WNsI8PxYqwLeHWKTOEaa1TNdLOcrkzFLT62wFmqTsKxpP+oqC6FlNkXs5uyLOKfGIBoJmZ5OpO/gFbB7AI8HzKqlsn98dhTwmkjhyr3KMpSJvrEuRJlPNgu8Wht95ldlwPdU0K82E1dFTxdXfeVwpZl0H1IxRaxbY+TuWH0QTzYzhXLWulOd+Lv+8L6D19oFLaq1BbnIPpgKvn9YKwt33hNRb9mi7xjp4eeVfDkNvGa9zIpZF5EvzJbAw4Kaq6KnHK4U2GWAlvwLmS5+5mnib/LZPogxgHrLNHSa0u4LeM1kmSTYNoneXTgTDlopmYWi0MbPZRMEgLSMFJViACSgH1MSMFhPIPi0ZgUzkQJj0vjWU5wXdRXSYLnIaOiySNJX1dM1MXDTUrmRCv/czz0ZDDz13zvjS1dwB/jbNQq6TJ3758sMXhfOiPUWEbzIcVr55bHvwr0yuFmPe0sl5Wu/B3iEWwZ5dhzBKageEf6noP5kAEFQax3NkgmyQqqM/84oW5y0/gYocr7ynnX03AB4VzAjbirXSX3cvFar5WnjFcRf464Frf+sjivWwDnQZy/LgNYeaJnBW+fHyCNKTW0H/AjQUualk0V/+mAPj6hXcJlI0EqnlrvO2HWeraOnayPjsFPodnHCRNQZ081joGjwZ1LDDGMBfscwSNT1kZ8taoWtqHNcfXZZgk+EwdCA6Lv7vMyHVKQGIxcNiOlrN3c6r9Y0v6Mkc1jn9/zv2Srgldi/QxD8jQaJHyDxPg+ANNVxaO2kqwz+9DOtV5a62zh4b1kaweyGNyj8XfjSAm7PsI766PK2FiwJUk82A2P9fw2EG8v/G4x6IhayRcQWGoXU5blJ+P7GKZ1IFfBKKqukvlZTEbSmCD0yRln5GdDXlomxes76X0GkETJglYPW/dDKGtBaBmr2z7+tBfGznycq6oLpu1pUr2tV1FsUnLNuzdvieU81A0rfYikTdXHjdCJVwNvJQDM66QvtM4+5aDPGqwOk1m7oX8pKFC6CR76ugf6mtJ5Brd9/MPhtQadLICuTyvvDBTAbaRayEDeIqWx92mPbKN207QjepjO3nO0Er8e4FtRkiXzwJDEoVHxHTuuqSyBA0wIlfV4LjPxn5jAVM2W+raKV1UWYuywLeOf+wwc8oJZSF83ahyova+pOyLwY4MpXp+KLrDIwh0Sgl34n2yP9Z3CWvxQ7l+kdwTuXaZ7bIAZYsgMCUrehSsmkL6R+Oyx18bJoobCbwM1g3OMb0YXo21qaaQG+WbOFSBXwSj9ZZKGP01Q8moxkyzJhTfsc2/3/DBhEOcdG/5ZjVhHfzPb1KOmxfH2kuuTBrU1IuVk3hmWPMhO6KFJn+tQpwKuM3eqZKuB1FxuNtmEbJKl9mXCkylot18zGrpXUltks76YoE4MyLWZBb0mnaWH1d9Pkh9ZV/tsqt9zfNVMpd1z4yGb8TApN4tZnKt7kgSrgbdLv2GZxMyBopb8MqH6TqCGwvcREV8K3GpRp/q6vR5nNtEwzL3ryb+k3gzyr5goqba6/esjg7fomm6r9FQu4qBtvXFNrln13zBc+Pe4N3jzWrcPQvy2keBvZ16XyuyceFUGabfN6D0tHvVDFTaILIVWWl2+uOJCHCt6ub7Kp05+Ltgw33lgAvnWAyjstijelc1BZO1zm0uk2mFm1LqNMrDmxMMrNsBB3cKjg7fommzr9jTferLjN/e8AQwVv1zfZ1OlvvPFmBG+rGej6Jps6/Y033rRauuqNh2p5u77Jpmp/Tx3QjTfVUbSgJ4cK3mnT2eQmm6r9Sdj7ek6fb7xZEBTrD7vawNv0JptJM5v3Z7DW9xtv6qNoQS1WE3jb3GRT9l5bWX/SR32+8WZBMGw27GoCb5ubbCTjcynrzzLDPt940wxFC2q1WsDb9iYbb9xJZVJ/Jgb6fuPNgqBYf9jVAN4ubrKxcKWQaf1ZSzDEG2/qI2sOLYYO3i5vsnE5ZvXnRX5Du/FmDjBsNsSQwdv1TTZV+jMTN7Qbb5ohaw6thgrerm+yqdqfdysM6cabOUCw+RBDBa8pWmtXJ0ndm2zq9OeYQ7jxpjmq5tRyqOCd0/SNwyxyBkbwLnL2x7FbzcAI3lbTNzZe5AyM4F3k7I9jt5qBEbytpm9svMgZGMG7yNkfx241A/8Bh94QYdkdM0UAAAAASUVORK5CYII=)
Area swept by 2 blades :
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 1254.96 cm2
=1255 cm2 (approx)
Question 12.To warn ships for underwater rocks, a lighthouse spreads a red colored light over a sector of angle 80° to a distance of 16.5 km. Find the area of the sea over which the ships are warned. (Use π = 3.14)
Answer:![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAGECAAAAAA6y0g8AAAABGdBTUEAALGPC/xhBQAAAAFzUkdCAK7OHOkAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAABJ0AAASdAHeZh94AAA4hUlEQVR42u2deUgbW9vA7/e2d996ZiYziTExGqNGjVvcuqmtVat0UakLXdBSpS1aLFpaWloURSlKRSqiiEVEEVFERESRIiIiIiIiIiIiEhCRIIEQQhgY8s1Ee2/vvd1MZktyfn+8b25qZp4z/pyc5ZnnfGeHQDyI74QOAAJhEyg0xKOAQkM8Cig0xKOAQkM8Cig0xKOAQkM8Cig0xKOAQkM8Cig0xKOAQkM8Cig0xKOAQkM8Cig0xKOAQkM8Cig0xKOAQkM8Cig0xKOAQkM8Cig0xKOAQkM8CvaEHs7ptR2+mixso/5+3/T80fbRS3J+mrL3356hjn1wCOTbYE/oF+CR9fBVk/QW+ff7e/FhC0cvpy49tdsrZB1QaAhXsCf00z8eWA5fLTdMfKTsbkzQ/NHLTr97dnsZ3gaFhnAFm0I/PBLaYjDR/2vd39m3mg+o3Zjg2QPDrpmyW1/L8vfIcrzNtGs4cNzDyQODwch0VMz7zH9bjORH7zleHZDORQPxUrgQujfuOWnffRYhS6zNv7izp1e/SPPxv7VqbZee+ClurkLy6JZGcWGQdtban+7ne7bNaDfdDVulP1ibOEmZey4o5QmvjbTkPalK5YUeq9CXCOJOcCH0a6yANBUiQVfP+/zht74X+5s88VrYH5m7U+d+83+8WfErrrt+DlW9t5PNCmX6lUDpE4sx6fc5+oN3iT5bj19ITpaSqCPJOplfxmWlohXeoyHfDhdCN6D51AASM7w1e+1HWui4nzLfb40HSWctr+X5e9Sj79U9m4s5vz6zL4YQ9RubvYGyKeP5Q6HxPvPtPxsNO426UvNyoF/b5larf+iK0NcI4kZwJLTtJqij+xSjUuX6nh7tpLvHub/12zsUd+328l+KzHaqHRRSDdg1umdhKfuxcv8joX++MbS+t7xBNf6SvbFvXM8ErUJfI4gbwZHQB6dlI/SrdR0jtHKS7i7f/L79SGhQR9qpXjTLVoI+o3+G6vwt+2+hbT2KX5Goop59+50f1GkZGWmKn8qFvkYQN4IjoY16+QT9ajuBFjpGQ8tqLTzZdih0Gd5K2ake5LL1DlpN/wzV+8eVI6GL8D7K2pfqC37FKow53wMFjY/6tdDXCOJGcCS0OZkYpF+thTNCB8//U+i2Q6FtZcgjiha69ef8/fO/zdKvsrE+c3/n6mRjxu+q2dKfb41NTIzX350S+hpB3Ag2hS47mo+ghSYr/nhE96E7T31BaKoTi9uy2825P9Ub036n/d8O/bNvL0uzZCdXQvHR9t8yDuz23cuqEaGvEcSNYFHo31JaOzs6OobNzCzHrMKnaqpFe8LvY6F7pAnz1vK/hN5OPnV9eKIU0S5bK34/Nzycj/7Zb370R+rg7EsifGlLDwpGx3J/j9kQ+hpB3AgWhf7xJ4AgAD2z8RrNI621aplSG/5H4PaeY+mbFrrVvhj7e8zEX0KT1Pg5hUrtF9Vhtc+ewxTas3F4H7l42Vfpr45+Y6EGEpR+vlJdL1woh3w77Ak9VZCeSXP1+d7co36K2u++n135JiDCaGmq3bXbyYEbi3ZLf2HJ4tjjJfqnV8u7KLtt9kVB4dNJs91um67Ivdc3/HTVTi69LMipGDHRfwOzL/KyH4/DlULIMWBPaNvBvgMTRZqs9t78gd3dvXbpVdJuMTP3WCuTlWE7OCBtJqarzfwMPQw0G42Of7WT5v0DG2mm/4myGPcdP0L/6/6+Ga4TQo4DVwn+3T6hT9seBfu+E7qBEO+CK6ENj0LluOI0k2QEgfAHV0JTuyNN1c3TZqHbB/Ey4DOFEI8CCg3xKKDQEI8CCg3xKKDQEI9CXEJTpNV8YNzf3dnaWF9dXlqYm52emhgfHRka6Ovt7qx+vSV0gBCxI4jQ6y3vBvp63nV2tL1tbnpdX1v96sWzJ5WPyh/eL7lXfPtWYf6NnOtXr1zOSEu9kHz+7OnE+Fh9dKROcwp9KPTlgogdIYQmU3FFTExUhC4sVBus0agDVH5KhUIuY5AeQjjAHUgkEozh9xMnwoS+XBCxI4TQ63+c+B6TSD6IeghKg+GEVCZXKP1UAYGaYG2YLiIqJjY+8cz55IuX0i6f+/lHzY7Q1wsicoQQuvfUD38kXUzLyLp6PTev4Oad4nv3Hz56XPXs+cvqmtr6hsY3zS2t7R2dXT29fQODQyNj4xNT0zOz86OaU+pBoa8XROQIIXQVfur8xPTs/MLi0srq+sbm9rZhd994YLZYrB+wHUF+gKKo/euo/JnQ1wsicoQQ+iqOP7VSf/ONH7NWY9h1mO0P+SICCG2NRqWDzog5ToDEXf7jhbgTAgi9pEGUm858cDUEaEf5jxfiTgggdIcfqncqTdpwGVHU8R8vxJ0QQOhHMizPqTxpy1MEu8N/vBB3QgChMzFJrc2ZD1L9OLjoPY/AmEenHSMNy/irqp6/xg7Uak1FRcWj6iW7sX3Uqcvo2fAvtEmPEOPOTVbMaUDke94DFgiqN7yYeULY9DJCrQgo/DDqsL789RSKIMoWak6VbhI6SPHBv9AzIYjKydoxmxeBqpn3gAViMvzHXGZDg2Zl7LMXMdjjo3IOppxfrt67e7d82v4eifOer6tvhn+hW1TI6T3nPmoqB5Iy3gMWhIPWqF9/yKOF3ozQDJrMPfKQo0zD7XjVopHGan+Pxh8IHab44F/oh1L0tsm5j1LtEnDVK+5KtlbCL/pP5g7dA+7SI2jjy7KjXvSCOuFoRO0Qeqf8xqL5ReP4gzM5/abhvKQHi0KHLjD8C52JYo3ODmYm1CBujveIBcDyStf0HGOEfow0NVyKvvfeeDjsoIYl8Q8Tz1dvHwq9ewtLX9/VB8bow3BFUcLpQCTNqSl+z4F3oQ3xgJhw9sMr50FAF98RCwG5NGFpwnJooQv/0GvPhEmjxw7/wdbwAzhzxh+/ss4IvV6GJU6Thohfk9qHb/woLR7u0hGdQscuLLwLPR4Kglad/bCxCEie8x2xIFCk/VDoGyeJR5NjBcilwy6HtfLXpL6Zjsg/yy3TaOQDTD9F2g0RoNlGjpwKWCJtZdKXQocuLLwL3eSHpDif1VyPgkIT3yELxJHQ/0vepqhFHXG46E/NNy2QFNnxp3Z9Bvn91M/P6N6bQScft9vnpUl05/qVr3f8wX8W3oV+QCAlzg/O+1Xg3BLfIQvEodD5J8qsdvtBFnh79LYjO3HdXz4zC05I/0jYZIQOmqdNl12m5a729fIMW76Ftl0FaLPzFUXnE4DGW5L8D4WuPFlOe2q6Alocb9qWpphJjnV/35lZRNac9PtjGy102BIjdCb949UKKDSvbJwB0jHnP753AxBveA5ZKA6F7v8tec9u34rBRhxv7l9TMZdvAERtzaD63T6ZYgIK/TF8Cz0SCsJcmSp9duqXS8Nzq7tekMVwKPR2Ala5svoIS9q1GztHLJZ7PybPbI+dRZ/YptH4A+Pd39L2d6HQf8O30I1KkO5KdY3Xv/zfj4rI5JyHNY2t74beL3twwv9r5Dqz9N0fpjydqAjps9tn0Mgt+1wcEXk+TJ69Zn8P9Eb7nPaPmq1QLS30HJFB//grn6dCxy0sfAtdhoEHrizY1v3w3Xf/O/H9Tz//+icqC9CdySqpetHQ2jex5Hlmj1yqZQYblqFcfUxuv8VuX47J3rXbZh8mhic9W6Xsq6kPzXZri/7ZTnHRtt2+mfWCHi72X+sROm5h4VloczY9JnTlucBJ2Xff/R/N//534sTJk9//8ONPv/wOCD9tXHpBScWLxq7RRSfzRMSHeWPf8f/kztLiDtPFsq5uMVt2GFfm15h7gnXDQF9J0+qObWeb2e5jk2m5adPL8zt4FnrlLFAMu3IAa96PJ/7n4OQvP/9wknntMJtW++ffTkl8NdHJ2YUPG/vGF7ZM/DYNIgp4FnpIC6JcS8Z4Lf9NqvzpBG3xr4qk1LNRgXL0919osx2cZG7aP/z0u2/M6YtZecWPXr55NzK3cQAfFfceeBa6SQ6yXKu4OBoOQmofamilT/4ecrevv7Wu6v7t3Ctpp8NUxKnffvqeUfvkz0wJMULqGxASEXfu0tWC0if17UMz6weHBT6g3x4Mz0JXIKDc4tIRtlOAtN80fF/948mTP4CIyrHZudmZ6emp4a6ml4/v38m7loT//KsszF+GS47AcalcpQmLTkxOzymqqH7bP7W6b7FYbTYSqu158Cv0fi6QuLguQhWiSLWVNA7dV/148sQPQPdsfH5pkWZhfn5udnbmfV80oX7Y39FcU1GUnRqvU8uljqqPTB09CSFXqkN0+tMXrtx88OJNz8SygSnYZLXBzRA9Bn6FXjwDVAMuHuOlHOQwW9PuD5UofmKUjngxeqj0IWNa37gpkrSZ9zaXZyeGetpfPynJSz8TqVHKZYzbEoypCilT+GtCI2PPpt8oedrQObqwZdgzmsxWaLa7w6/QQ0EgdtbFY/QHg0hH/im1N1Qkdygd+XJ44YPSC50qRcrhfJfdUWiMtOxvrc5Pjw12N798WJiVrNeqlL6027gERRAUl/qq6Jt2dEJqdlFFbdvg7OrG9u6+yQLNdlP4FbpFCq66WhF3Ix7IJo9eG4ZvHiod/WJo8VDp+adKVe4nP0hZjTvry3Pvxwbaah8XZV9K1GkC/BR0jwSjzUYkUrnSX6PV6ZOv3Hz44k3v5Pzy+tauEZrtZvAqNFkJQJmrhlBXUbTpr1SOneFc2U8naKXjqkeWGKVnMhVBlV85hO1gd2t1aXZqpKuh6t6N9NMRwWoV3SEhMAQABCNkCj+1Rht97nLB/edN3eMzCysbBqMFDiDdAl6F3r0BiHqXj/JIhtz+aDlsveeylFb6R+z8y5HlpcX+UEXkNyeYWg8MmysL0+OD7XVVJXmXz+vDQwJVCh8CA4zZUh+FKjAkXJ+UlV/6tKFjaGJmYXV7D26OK2p4FXoxEah7XT5KpxqJ/Ue/Zf1dusyhdNLzsaWHfqq0/WMf02ba295Ynp8e7Wp8UXb7empijC5YrZQfmU3IfJUB9D37bFpu8aPqlu6hidnljV1othjhVehRNYhzdUxot6/qgGLhH+9Q611psh8dSpfpFcG1zh3XyHSGbKZ9w9ba8vxE39uaynv5mckJ0WEalS+BOszGpXKFX4AmIuHi1ZsPnta39QxPLaxDs8UEr0K34eCK67lDthRU0vGvnji53pEu+4FW+tQpIt6ZZ3DJ6aryso+fRrdZDvZ2NteXpwc7Xj9/eDs7PSk+UqtWSLEjs2W02uowfdLlG8WPXjW2943Nrhig2cLDp9DWJwApYWFsdU+KlfzHHdtma7qUVvrkL9qJr4w7zWNtr98eppuS82/bJ5giWyuZtyvyij6VZmKzmIy7O1trc6PdLTWVpYXXLp3Vh2mUjNmIY5sjH7kiQBt9JvXazdKqmuauoffL29BsweBT6J1s4ONkd+AftPihZz5RP8m61ZxBfH/ieyzl6cyXlN5uqGmpfZDHlPa01Nx41VZyZ5mytSetGlZzq790WsemoHuGzcWJ/vbXz8uL87NSEiKCVTIMQQ438KLv2qrgiPjky7l3yp7Vt/VPLGxBs/mGT6GXYkGQ62NC+jjBiGr9U/9g3Wy6rPwdwVUpz+Y//4xWVd6ccf/9Vaai1lvt/a2DLtmlfXMtU3i66GvzfQ4o0mYxm4z7O8vTw90ttU/o/kja2WitvxynvcYkOE4QUpkyMFx/NvVqwb3H1c3do/ObBzaYF8ULfAo9qQRxC64fxm5LQKX9n1bDutn1MEGG4aoLzxetn/4Rg76ISYcf+n3ZvhHG1EG1xP4yTfZcObAacl4cKw7abKvVbD4wrM6O9bU3vqosLchKjgtX++KHOVFMxp9ModZGJiRnXL/18PnrzuGZ9QOL1crIzeN19yr4FLoTA5msfAcXEHj55+7Atv2RijgZJvG/8HL5k3l9y4qYdVqn8V/X7T0/RzLvPD5ZYdt6/Ljyer6TUzAUrTbj9t7GwtRQ99uGw5m/CI3iMC+K8RuX+voH6fRnLmbl3ausaxt4v7Z3YGLyoqDZ7MKj0OZKBCtm5UgNvljK5/8yyL2RCj2ttPrCq5VP/NR+8En9kHmnIMhkr/lfEvNO68lYE7XeWf/qa6PJr8KkjpD0fXt/c2l6rL+zua7yXl7GuZgQlY9MKqXdZrbMJeR+gdrIuHOXsu88etXcO7G8vbt/YLLAjD924FFow1XgW8PKkWb8kcAvpYRQu8Pl0T4Ypr5Qs2L6z78+/ukE/jg3pZ20l/9fOvNG70klPca07plYvFse7sBoM26vzk0O93Q0Pn9w80pKbFiAIy+KwJmdoHEfpTpYF5OQnFX44Flj1+j8+tbOntFshfdsV+BR6NUIENzPypFMEah85Mu/d8Pwwyg5iqkv1i3/+y69k//j/376s3TfTub/XybzxsBJlOsna8kDw/rizPhgT2v14+KcS6cjNP5+CrmMwJm8KFymUGm0Efoz6TfuVta1D04vrW7s7B3A7BFn4FHoaTnQO1139J9cw4knX/t17wzfj/JFJYGp9Yv/VHqnKkr94//Qepvl6qHQgydP8faoOGna21yZfz860NHwpLQgM0kfqlGrFD5SCQoAk/Hnpw4Ki0xIvX67/GVzz/jMwuomzIs6FvwJTXZgSBpLBY+qZVj61/uc28Ml0XIEV19qWLD+/e5+ycXO9/eRE6cGyZvfpTHv9J7E+K99QJr3t9eX5qZGe968Kr+dnZoYGRoUoJRL8cOMv8O8qNjkrILSJw0dg+Mzi2vb+649vOYd8Ce0uRzFi1g61qQC1X5DBhK1PXQvRg5wdVrDwl9/Sm+V9y12Y2fEiQv2R9+lMO+0n/QXcJ8LymI0bK4uzk72t9ZWleRnJsVFhmpUCtmR2TJfpX+gNvpsem5xRXVLN6328uYeNPuz8Cf0bjp7+8DuaVHlN20DQCt9V+8DCHVGw8LRF3cOMcL8w4REZa/5vzjmndoTF8WwokdZDva2N1aXZoY7Xz8vu5196WxshFatPDLbkRflr9ElXLh28/7ThrbuocmFNQM0+9/wJ/SWFglyqcbMR1gzMNmrb/tRcnvwrl5KK325/rBI5FWZY6vDg9Ph9oFfAhiT75yoF9WcGWU17e/Sas+P97TUVJYUXLl4Rh+uUfl8MJvJiwo8zIuqcORFzcC8qL/gT+gZGYh29fGrD5BPCfzqt/6wbWfgbgyBEOrMeqZW+ht5CdOjXg99bDfEnuqn/zpCpcu8XYVjQdnMB7Tam8tTA+30TbsoNzMlITLEX06b/VdelP/feVFM8cptb79n8ya07a0EvcjWcJ0alaFRpm8/907fvWgCZZRese/eiizuGW7My1qzU72amMHlEk2d9ZsPJQyUzWKi1d5ZnRl511Jb9eB2dto5fahaQaAf5UUF6Zi8qKKyZw1t/ZOLW2bvnBvhTWhzCSa9y9rRtjWIevoYP2/b6b0XhWNEYGb92tqru/fullTM0r9wa+eNspc364//hItQUDYrrbZxb2N+vK+98WUF3R9Jidcxyax/5UX5KDVh+jMf5UWZbIcFo4SOnR94E9qYjCpfs3Y00wVU0XCsT9h2eu7paKU1ma+XVod63+87fsG2zdGhRRNf14BFmMQoJudva2lqqLul7nn5ney0M1HBfkzBKPwwL0rK5EXFJ6Vfv/XgmSMvyugNeVG8CW0IRDSTrh/mCOsjCVF4zM/YdrrvhhMYEZTZtGb6axRIunl6EEUyiVEW0/bKzFh/x5vaJ6X5mUl6rb+c+Csx6igv6kJm3r0qj8+L4kto6r0M0bH31U72E+jpY6/S2LZ6ikMJDA/Oat4Ue7f52DgSo2w2s2FtfnK4u63xRdmtaxfidWqFz1HBKCYvSqUJjXLkRZW/ajnMizKaLB5lNl9Ck40Elsri8dZUiNaJ3Gpyq/u2VooSwVlvNzxO6Q8cFowy724sTY8NvHtb+7g4N/1MZJBKIfeR0WYzeVEyR15UYsqVQro70jW64Dl5UXwJbb0tkZaweLy9s4iqxZkPkhvdN7UylAi50rrusUp/DGXZ21qZmxrp72x8dr8wKzk2VK1S+vpIceyjvKizGTeYNO0PeVFubDZfQpsTUcVb1w/z9/FKUek95z5KrncXaGUIEXKtbc0LNtP6G6YU2tLs5Ehvy6tHRdmpiREhgf5KuYw225EXpQwICmXyou4c5UWtMHlRQsd8bPgSekeN+M+zeDyyE0NSnb3Dkuvv8kKlgAi53rYqqjVCnjgqGDUx2F5/OIbUaQNVChlTVucwL0odzNSLKih92tA5OD69sOpGeVE8CU2NydFwVpdn5xUgyvkFPtvau7wwKZCGZLeylNHqljAFo9aXF2ZG3zUxj41dOq3XhTAFo9CP8qKizqbnfMiLWtrcFbvZfAldI5Wksdox24pD1J0ufN623pUXRtBK57au8XMNxIzNvG/YWl+en+xrra28l5+VkhjzoWDUX/WidAkXrjryohz1osSaF8WT0GQeLi1n9YjG24i0wqUjWNc78sJwRKq98XaDn6vgBjgKRtFqv2cKRpXdyck4KhiFfpwXFXueyYt66agXtSoys3kS2qZH5V2sHpFsRpBrLo7pLLTSWgkq095o3eTnOrgPTMGoPUfBqJ6W2sr7N69dOqcPC2QKRh3mRck+1IsqLK2qecPUi9oRRcYfT0JvqRHlCruHnJCDRJc7C5b1tnwthtF36dZtfq6E20FazSamYNQCUzDqxaO7+VcuHBWMQjHMUVTno3pRDW19E4vbQuZF8SR0vwLVmdg95EoMCO5z/TCW9da8YAkmDc1tM7jv7CsPMNkjZtPB/vby9PC7ltqndH8k/WwMUzAK+ysvyk/jqBeVf5fJixqbEyIviiehn8okWSzP+e7mAZ+XbBzIutaap2GUvtG5642TeMfFUVXHYjYZVufG+zuaqqs+FIwi8CMImVKtjUpISs++9fB5Y+fw7MbB0T563EfHk9DXcaKKZVlsNQhym5UrRFlX395Q45g0PO/drlcttbiGI3nksGDU5HD324aX5XeY5RqNUkYcZkY56kUFM3lRWUd5Uauc50XxIzQ9JvxcNTrn6fcBF13blfYvKOtKy3U1jsp0+X0GqPRx+btg1PLMWH9XC7O/R8b5mBCVXPYhMcpRLyrqqF4Ul3lR/Ai9okGU664f5p/M6kD4CGtHsy63XFUTtNIFfTuw4+E0RwWjdlbnpoZ7O5qeP7x19UJcmFqp+FAwCvdRBgSHxyQmM3lRje9GF9Y3d3ZZzIviR+guPzSG9UoB21eBvJHF41mXm7MCCUSmK+zfhkqzAmkyrC/NTAz1vK2pKMpJOx0RFOAoGCVBEfQwL0r3d17UIit5UfwIXSHDclmfpbRWAuQhq+ZZlt5c1uC00jf7WOrLQA4hTbtMwaixwc6Gp/fpMaQ+NIgpGEWb/VFe1EVHXlSva/vo8SP0FYnkFftd0zYpyGTrOfIjzEtNGbTSPro7fXBemgsopmDU8tz70Z43h2PISFptpVwqQT7Ki0p25EV1MHlRx64XxYvQZj1CjLA/sJ3Qgqgp1mNdaszQYLTSRT0s/7FAPuawYNTS3ORAW91HBaOOzJbJ/6oXRY8huwfHZ5e+sV4UL0LPhXxmDwnXWL8EfDvYP6xpseEyo3REcc8u99fG66GsB3s7hwWjGl+U3clOOxf3oWAUkz3io1D6B0UkXmTyoupbu4eYffS+ZDYvQreqkEQOyiFaSwDylIvhG6O0GkV9Iot7+K/i6LVQVpORKRi1MN77traypPCwYJSfD+7IiyIceVHhsY599KqnPvt9z4vQZTL01oHrh/kPDQTI5eYmalqsz1SjmE9UUY+AdRy9FMrKFIza2VyaGuh4/by8KM9RMEolx5EPeVHKzM8+28GL0Fko1sDF83uDQSCOzcdgPsa0UH9ZRSsdXdwLlRYIymZh1Daszoww2439XTAKOyOo0HsJgBjn4sDL54BygKuoKfN83WU/TOITXdR/ANOWBIUpGMVsErk+P9Hf3vjq8cOOz/Y0+RB6MgwEcvKgk6UAoPXcuUaZ5+rSlRJMHlM0ZIRLLWLgqGCU6fPf93wI3axCkriZ1X1GgDtcFqajLLN1lxxKF49Cpd0CPoR+KEXuctMP7VKDMyw/N/AvKPNM7UUljsr198b2YMdD/PAgNHkdQZu4SWGbjwX+7BXM+zSUaaYmSSlBffWlU/tQabHDg9Db54BjFwgOOMgCkg7uJTuYeHJaiaHK0xVTcF5a5PAg9Fg4CGFji+9PcR8H5Sbum2A3TlQl0kr7JT6edJ9i0l4JD0I3+4FUrh6qfqNiLcn/K+xNVCb4oajf6SqotJjhQehHOCjhYp2QYUoHNIvcN8HB7kRFohJBVWeeTHDVHIjLcC+0JRcgTVxNeRmTAT7A20htd+IRrTTmd/bphImvc0KOB/dCr50H8kHOjl4oQZ/yWLpnd7z8tAKR+J17OiGKsiqQf8O90CNhQDfL2dFrFMhlPpM8KUZpOYIrzz+ZEFcNLIgD7oVuVoB07mrHjYUgwRykWn8Bcm+sLNEHxZVJVZNeUTHdveBe6EoUPODu63k/DkjHeV7uIPdGyhJktNLJT967ca17z4RzoQ/yAcbms9n/grqGYdW83yjJ/eGyeBlGK/101smHOSHcwLnQy+eAXz+Hx38qR68LMItG7g+VxcowiSrl2byX7tkqTjgXekQLYmY4PP6QGgkzcN2IT0HuDT7UyzBMdeH5gkmIACCfgnOhW2Ugk8u1vF0dIp8V5hZJ7Q3cj/bBMP+Ul4twqUUkcC00+QQB9znt417C8EahUpUpQ//9KDmKqS+8WoBKiwKuhd7LA3g9p2d4JMPyBJw+2xkoiZQjtNLV81BpEcC10EtngLqH0zP0KdEoQVXaHrh7qHTNHFw9FByuhR7TgFgux4S0T8GI0vn93Vhha6A4Sg4k6ou1c3D1UGC4FrodB5ncTkKQ5zBpq8ATZ9TmQHG0D8DVl+pm4eqhoHAstPUpQEo4HrLdI/A7gj/ASm71F0XLAKFOq52FFdMFhGOhDTeArIbjJnTK0XgR3BZtW313oqQIoU6vnRf878t74Vjo5Xig4XZMaLev+SMB/OYnfQbbdu+dKAIl1Bm1C1BpgeBY6EkliOWqWNcHLHGoL7ubejqNbbunKPJQ6SU+tnyC/AeOhe7CwGWu59Rst3BpKcfn+PZgdt7d1hEYrr5ct8LhXk+Qz8Gt0OYnCFrMdRPIFil2Xjzu2La77oTRSgdmNqyKoGvvbXArtOE6kFdz3oZFBRIipg0kyK3OW6G00prM16twXppnuBV6LRoE9XLeBmMkqmJhk2QWITc7bmqlKB6U2bQGVw95hVuhZ3yBnvtVPMsNTFbB+VmOB7nRWcAoHZz1Bt6l+YRToSl6THiJ+36k7TWOZYinE30Eud6Rp5UitNLNK1Bp3uBUaHMFit/hvg3UjAyJEiTJ/8uQax25WikgQq40L8PVQ57gVOjdy4iC63VChp0wJHCIh/McG9tqR24orXTw1ZZluNTCC5wKvRmKBPEhmvEqKn/Ow3mcwLbanhtGAGnwtZZl0fWKPBFOhZ6VgSg+SilaqzFJDg/ncQrLWluOFkekwdktnOzLAfkHXApNtmHoRT6+aalxKUgQb+Vmy9rbbC2OSoNzmteEjsXj4VJo832MKOKlFWvBQDvGy5mcw7LakhMsQaUhOc2iSKPyYLgU2ngBVXD7POEHDBmIso6XMzmLZbU5WyPBaKXfbsLhIYdwKbRBgwRysj/hfzBXIZLbvJzJaSjryptsDY5Jtbmt23ASjzM4FJqZHtbx07OlenFwUewbvlK2laZrahwjtDfaodJcwaHQ5Bscu8BTM+bUIHKap3M5D2VbarqqJlBp2I0uqDQ3cCi0tUgivctTMzZTgKqFp3O5hG2xKYtROvzGuy2oNAdwKLT5LKp4w1MzDh4AvIync7mIbaHxsppApOH53ZtQadbhUGiDGvHnrnT/P6FaMXDFxNPJXMWy8Do9EEdkuoLuDTjjwTLcCU1NypEwE1/tGPcHcVw/vMgeloWGNIfShd0bcEGcVTgUuk6KpfLWjpWzQP2Ot7O5jnmhPk2D0Urf7OZqD0fvhDuhyXxc+oC3dhjvAPwFb2djA9NCHaO0j+7WO362DvUOuBPaGofK23lrB1WPgptu9rTTwWJduhpFZbrbXTtCx+IxcCf0thrx47GIYr8fOC9wzcbjc7BQkx5AKx1xp0uEDyi4JdwJPaRAdSb+GjIfB4K429+TM0zz1WkqFKOVfrcLh4cswJ3Qz2VYJo/zrLu5gHjN3+lYgzLNVaerMEwWebt7DyrtMtwJnY0TlTzOslJVCCh1y4dRKfNs9SWlBJNF3enbh/PSLsKZ0DY9Kuvl847TrgCX3DTZmLLMvLqgoJWOLhqESrsGZ0JvaBAFr48cTUaCsEk+T8gmlHm88qwCR+UJD8eg0q7AmdC9KjSC161PtjOAtJPPE7ILZR6rPKOQIL6JZeOwL+08nAn9xAe7xuu8MFmCgCduXR3RNPY4kVZakVg2AWc8nIUzoa/jkuf8JpM1yME1MdVsdALj6OMEJYYoE8vHd4WOxU3hSmhrHEIM8XubGQ4FEe6Tn/QZ9kcr4pUorXQFVNopuBJ6SYv48TznsJEE5KKsn3Q8dsfK45UI6pdYMSbeygzihSuhO/2RWJ5/H7YCBKnzhJR5w1gZo7QysXJM7M9Jig+uhH7sg+bzvb/rcxko8IybmmHsYbwCwZSnq8bgfsvHgyuhr2FYDd9TDr1BQO8hpYkow+iDeF9EojhTNWYSOhi3giOhD04DfITvqae1eKB4z/M5OYPcpZWWI7jibNW4m6XFCgpHQs+EA/8VvttCXkHQt56zzEbujdyP80FxxbmqCTOcl/5GOBK61R85w/+ccLkUKfKkPie5P1QaK8MkiqQnU1Dpb4MjoStkyG3+R+gdAUiimy+t/Atyf6BEL8MwZfKTaRNU+hvgRmgqB0Ub+J9BW4oAyiXez8ot5F5fSQyjdMrTmQOo9FfhRmjDOUAM898Yawoi6facTvQR1F5vSZQPhqpSns3CeemvwY3QEzqgWRCgNUUE9sATpwQMvfci5Sjqn/J8Dir9ZbgRukUFUoQoN9GsRM955m98p7c4glY6IOUFvEt/EW6EriDAPSGu+3wwotoQ4Lx8sNVbHClHUHXKy1lPmslhG06Ett4ASKMQfVlLPEoMeuzIabPvDq00pk55NWMSOhbRwonQG0lAJkxJgXwCf+zWSf5fhNrsux3pAyQBF6pnPHGowAacCD0aDsL5qjv6T+p9sYue/KsmN3tvRcoAHnCxZtpz/3BdgROhW5QgTZiu7LQ/ovHsGkS2rd6bEVIE90+tmfGEXFm24UToKgyUmgRpjikSlY97bCf6ENtWD6M04X+pZhYq/W+4ENpUANDXAll1DSeeedzSyr+xbb+7qSNQXJVeM2/z8D/f48KF0CtJQNknUHteyiR8FiATCtt2Z0E4geH+GbULVqj0R3Ah9GgoiBJqS6oJBRrmFSsPtu32wjBa6YDLdUsWqPRfcCF0mxxkCFWWfk+LKj0myf/LkFttBVopJlFn1i978szO8eBAaOqZgGUTbWmYrFagc/MOtdmap5WimCazASp9BAdC7xcCXLCNt8lKAs8R6uT8Q61/UPr1sknoYEQBB0IvnwP+PUK1hxqSodHedLei1lpztVJEEpz5esmb2v05OBB6LAjohdumeFuNqOcEO7sQkCtvs2ml8aDLjUtuWSCbVTgQuoMAl4XbBMechCoaBTu7MNhW3l7XEgAPymxa9PYFcfaFtj0HyD3h1jasZRLipmBnF6zVh0oTQVlvlrxgGv4LsC/0bj6QVgvXILKPQE974W3Ksvr2mhZHiKCrb5Y9fqn0C7Av9HIi0HQL2KI1P0S7KOD5BcOy2nItBEekmuverDT7Qk+qQKyQo7K906iqVcDzC4hl7c3VYBxllF7xVqXZF/odBjKEXHw230OlpQKeX1Asq01XNThGBGU3r5FeuSDOutCWZwhaJOSlJDsl6CWv/F06sK68vhJIKx2c07LujcND1oU25AD5K0GbtKAA0R5ShNQZKNtSQ5aaVjok9+26942OWRd6TQ80gq0TOtiKRdTvBI1AYCjbYn2WmkAJbU7bhrcpzbrQMwqgF7Ycl/EWInssaATCQy7UX6aVxkNvdHiZ0mwLTdFjwlRhcwpsTShyzVsH+X9fhfn6DDWBEOE3Or2qL8220OZKRHJb4DZNyEGip5abOQa2ubo0NQ6k4XldXqQ020LvZSGKaoHbtBIFQgYEjkEUWObqLh0pveYtX1lsC70ZjmiElmk3V+iJFtFgnqtNDZQAWVh+17p3TGWyLfScD4gS+uve+gpBbnrLHelrmOZrUtUYIgsr6NzwBqVZFprslCApgrvULwMXtoQOQjQczFenqlFa6Zudm56vNMtCm8swQugxIf01EQ50o0IHISIOFl6lBqCoLPxW55anK82y0MZLqEL4Z1S3soCvtyX5f5mD+Zep/hgmDb/duePZSrMs9E4wEij8vdFaCZD7QgchLijT/IuLfrTSuttdBsH7hBzCrtDUvAzRCff41V+0EeDKrtBBiAzK/L7irIJWOrp0YM9zlWZXaLKVQJNE8JU2Fizkc7pihTJPlJ/xlWAy/YNBj1WaXaGtJRLijtBNolm9APy6hA5ChFDmsfLTChyVxT4Y3vVMpdkV2pyM+TYI3SQmjrsAfSGCbwoRYh4pT/CVILL4ByMe2ZdmV+hdDeI/KXSTGOpxULAvdBAixTRcHq+QIPL4B6MeqDSrQlPTPohWFB71B4JEITZKdA+MQ+VxCgz4JtBKe9r3GLtCN0qxZFFcocUzQCXMtkXuwf5wWawCRRTxD0c9bAcPVoUmb+PEPaFb5MCUBzChNhFwD3aHHzJKK+PKPEtpVoW2nsbkLUK36JAnEnAX7k/5RQyjD/QKBFXGlY/uCR0Le7AqtCEQUc4L3aJDOvxB0qrQQYidndH7sbTSiriKUVGMfNiAVaHHFKhWJLfFWT1Qi2K+RdwYxkr1vgimiH886iEbebAqdLUMSxPJwz4HmUDSIXQQbgC1O3JPL0cl8oTKUaMnDDpYFTofJ8rFMrNZiiHlJqGDcAfIveG7eh9a6dNVowfurzSbQpPxqKxLLJekyQ9cgkn+3wS5P1gcI8Mk8rNV4wdiuSE5C5tCb2kQxYrQDfrApA5o4NLKN0Lu9xdFyzBMfq5q0s2VZlPofhUaLpIxod2+lwyIAbF8XYgfar+nKEqGob5JT6bcui/NptDP5ViWePatKcSQ53DLkWOw110USSutTH7yft99lWZT6BwcrxJP3alqBQKT/I+H4V1RhA+GKJOeTLvtvDSLQtviEaJfPB2wkRAQui50EO7Gzrs7Oh8UUSU9nXbT1UMWhV7RIgoRLc4Z4oF00n2/OoViq/u2zgdB/c8/c8+7NItCv/NHYkT0Z01dw7B68fSA3IfN7luHSj+fdsPVQxaFrvJBc0UzyUHzRI7miCket4Ha6Cmklcb8k168d7sLyKLQ2Rj2Skx3xAE1ovOozEj+IDe7C3QyRKJKevneJHQwx4M9oU2nAT4spj7rtg7xmRNTQO6EbbMnXydFcFXyq2m3mvxkT+jZcKASzTohA3URw9+IJFfKDbFtvctjlPa7UD1tcZ/7AntCtwUgidtCN+cflMmwQre6u4gM23bXjTACxf1Sa2bcRmn2hH4sQwrFNSp+p0Sj3W5QIyps2+25oVIMV16qnnUTpVkTmspF0ToxjQnt9o0gESVLuSnkVmuulsAkfunVc2Z3UJo1offOA2JY6Nb8E/IMJm13h1+CqCE3m3NCpBimyqiZN4n/arImtBjTNe8SeLF41uLdl3VGaRQLyKhdNAkdy9dgTei3KpAk9F4U/6ZNjiXCUSEbrDVnB9NKqzPqFkU+KmFN6McEKBbb4v+qP6IW2x+Zm0KtNF8PliKYJqNe3HdptoS25QHktdi+3i2xqLxb6CA8BWq5+ZpD6fSGBZPQwXwetoTeTAayIaEb82/IQlz6QOggPAdyueVKMAFwRmnxPMjxL9gSekwHQmeFbsy/od5IsRTxD8zdB+vym6xgAsE1Ga8XRDo4YUvot0qQKr50+nkFooX5SWxiWXmTGYwjRODlxgVxrTocwZbQTyTgnvjGv0Yd6if0vraehnm1KTOIUTqzaVGEmTIsCW0uBGiD+L7cLdmYrFLoIDwO82rjZQ2OEuorTUuiU5oloVdTgKJP6Lb8F1sdLskQOggPxLLawCiNq681LdvEdR9jSejRMBDxXui2/BdqSoZEiOixMM/BulKXocYxPDD7zYpVTEqzJHSbL0gX4xLGjhYJHBE6CI+Esi3XZqgJDNdkN6+KaMaDHaGpZygoEePU5EEW6vtS6CA8FIpcrEkPIFA8OKdlTTRKsyO08SaQCL/F9yewvsAkOUIH4bmQ89VpAQSCh2S/FYvS7Ai9nARU3UI35VNQIwSSIK7HDjwLcrbmEqO0NqdVHB0PdoQeDwExIhwT0qxpgBZW8ucS20xNagAO8NCcNjEozY7QnVKQIa7nCT+wewlRimFvW0/GOlNzkVaaYJQWfF6aFaFtLxBQLHhTPom5EsGLhA7C4zHPVF9QS4A0NLd9VeCUS1aE3i0AxCth2/E5qF4cXDQJHYXnY5p9laLGEKn2RseaoEqzIvTKGaB+J2QrvsC8GkTOCB2EN3Aw9zLZoXRex7qASrMi9JQa6KeFa8MX2TwPAlqFDsI7MM49SfRDUan2Tt+WYIuHrAjdjYM0sdYWN5YAolzoILwF40xFghLFpOF3+3YEukuzIbT1JYLcFtN6/sdQLSi4JoLpJO+AOph+lKjAMKmupFcYpdkQejcPyJ4LEfw3Ma4ECYtCB+E9UKb3DxNopYmI0r4dAWa+2BB6LR4EdvEf+jeynAA0PUIH4U1Q5skH8b4SjIi6L4DSbAg9qwIxc3wH/s3s3QRSmJ/EK5R59D6tNErElA4YeFaaBaGpXgxcEN/jVx8gaxBwS5SPv3ky5uH78XIJItWXDvGrNAtCW54hWCGfMR+TPl+QLKLNjLwF89CDOF8JkMWWDvE5PGRB6L3riFy8Y0K6R6QHWpGVkfQODgYfxvpijNIjO7xNgrEg9FYUEijmUZchG0gbhQ7COzEOPoiRo0CuL53my2gWhF6Qg0gxl2EmqxDwAHaihWF3sDTKFwWKLL6WAlwXmuzBkCRR+9ImBxmbQgfhtRiGSqN90XATT6dzXWjLYwwX85jQbp/QAd2U0EF4MYaRewmP+brluS608TLqK9Lc0SO2MoCsU+ggvBnKsMRbqo/rQhtCEfUgX+E6BXkfAc/E+fwBhG1cF3rBBwnfEroZX6bBB2TvCB0EhBdcFprswNFzYk21O2JIC6LmhQ4CwgsuC219ICFuCd2Kr7B2HshFV40dwgkuC22+gPnWCd2Kr2DLR5B6se2XAeEEl4Xe0yD+40K34ms8k4JCWLPRK3BVaGrWB9GK3pVuDYiF+UlegctCv5Fi54VuxFdZiQMKuLTiFbgqNFmEE8VCN+KrWLMQ9C3sRHsDrgptPYvJm4VuxNcpkyJ3xfsMAoQ9XBV6V4MoRbed239pC0BOi7P4HoRdXBV6QoFq3aBc7WIEUMFHv70BV4Wuk2EX3SBNwpqC4D2wE+0FuCp0IUE8cAdRigi0TIx7ZkBYxkWhyURU1iHyTA4HTUo0eV/oICDc46LQOxpEsSR0G76F2RBELb6tmyGs46LQgypU6xbTYeZ4hBh2h68SiGu4KPQLOZbhHl3TG7ikStRPPkJYwUWhb+A4b0+LuUaNHEtzjz89iCu4JrQtASV63WGSw26fCkCCDEIHAeEc14Re1SIKN8liO4hAfSZgJ9rjcU3obn8kUvS5o0dkSoiX7vFlAnEB14R+Ikez3WKSg+aZTJLlBmuaENdwTegcCfbcPcaEdvuYAg1zg6wTiGu4JLTlDIIPuku/dD8EVYp1qy4Ia7gk9LwOKMVcpvEfkKmYTOxP80JcxiWhO9RIvNtkGZOPCTxX6CAgXOOS0JUypMBtMn6oQR9UD/d383RcEZrKQdEadxkT2u07akQNk/w9HVeE3jsPcDcqSGQ+jyreCB0EhGNcEfp9BFAvCN2Ab8d6X0LcFjoICMe4InRrADi3IXQDvh2ym0DPwKUVD8cVoSul4I7bjAlpVhVIiJtknkCcxQWhSaYEojvd8fbjUFW70EFAuMUFobdTgFTcpfv/hbkIk5YKHQSEW1wQeiICaGeEjv842Fox9CJMuPNsXBC6TQVS1oSO/1jM+YAo+KSsZ+OC0M9wUOxe6WvMnre9QgcB4RTnhbbeBki9u6TaHbKfj/hUCR0EhFOcF3r9IpC72e3O2oCi14QOAsIpzgs9rgPh7lZEfFwKEkW+BR3ENZwXukMBUt1rTGi3r+iA1o2yTyDHx2mhqZcoKDYJHf4xMVwDvjVCBwHhEqeFNt0BaLXQ0R8XywsEve1eA1nI8XBa6NUUoOwSOvpjM0CAi7ztow4RAKeFnggFkZNCR39sZrUgQvS7KkJcwGmhu2QgbVPo6I/NZgZQwiR/T8ZZoclXCCh2n8evPmAuB2iZ0EFAOMRZofdvAfyl0ME7QRsOrrpL8TKIEzgr9Mo5ENApdPBOMK4BelhuxoNxVugpDYh+L3TwTrCaAvzcb3IG8s04K3QvDi65Y7llUzFAXwgdBIQ7nBTaWo0gt9xxhYKqkwD3KY4DOTZOCr1XAGTPhI7dKfrV4DQsN+O5OCn0WiJQu+OY0G5fOA0C3OpJSMixcFLoOX8Q7QZ71n8C4w0gaXLHzhLkm3BOaKofAylu2hN9goFSk9BBQLjCOaGZrLV8oUN3kg4VSIHlZjwW54Tey0Hk7jkmtNun9UDjfllVkG/EOaE3Y5DAbqFDd5L9TIC753gW8g04J/SiAkS4xZ71n+I+BirgnrKeilNCk70Yct5ti+E3KkE6fFLWU3FKaEsVhrvrmNBun9CBEDcqaw05Fk4JbcxCfd0xd/SQ3WRAwKUVT8UpoQ06RD0gdOROQxViyAu37TBBvoxTQi/KkTA3Kt3/b2qVyC33KsoH+WacEZrsxNEzblyWdjY1+LlJ6CAg3OCM0NYyCVEodOAuQI63b8FsDg/FGaHNGai8VujAXYEioc+eilNCp0u17vj4FcQLcEZoW2vOEzhLABElzi19G9xp8yuIN+HS5vUQiNiAQkM8Cig0xKOAQkM8Cig0xKOAQkM8Cig0xKOAQkM8Cig0xKOAQkM8Cig0xKOAQkM8Cig0xKOAQkM8Cig0xKOAQkM8Cig0xKOAQkM8Cig0xKOAQkM8Cig0xKP4fy0zke5NrjorAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDE5LTAyLTE3VDEwOjE5OjExKzAwOjAwELA2ngAAACV0RVh0ZGF0ZTptb2RpZnkAMjAxOS0wMi0xN1QxMDoxOToxMSswMDowMGHtjiIAAAAASUVORK5CYII=)
It can be seen from the figure that the lighthouse spreads light across a sector of 80° in a circle of 16.5 km radius
Area of sector OACB =
×
r2
=
× 3.14 × 16.5 × 16.5
= 189.97 km2
Question 13.
Answer:![](data:image/png;base64,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)
It can be concluded that these designs are segments of the circle.
Let us take segment APB.
Chord AB is a side of the regular hexagon.
And,
Each chord will substitute
= 60o at the centre of the circle
In ΔOAB,
∠OAB = ∠OBA (As OA = OB)
∠AOB = 60°
∠OAB + ∠OBA + ∠AOB = 180°
2∠OAB = 180° - 60°
= 120°
∠OAB = 60°
Hence,
ΔOAB is an equilateral triangle.
Area of ΔOAB =
(Side)2
=
× (28)2
= 196 ![](data:image/png;base64,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)
= 333.2 cm2
Area of sector OAPB =
×
r2
=
×
× 28 × 28
=
cm2
Now,
Area of segment APB = Area of sector OAPB - Area of ΔOAB
= (
- 333.2) cm2
Area of design = 6 × (
- 333.2)
= 2464 – 1999.2
= 464.8 cm2
Cost of making 1 cm2 designs = Rs 0.35
Cost of making 464.76 cm2 designs = 464.8 × 0.35
= Rs 162.68
Hence, the cost of making such designs would be Rs 162.68.
Question 14.Tick the correct answer in the following:
Area of a sector of angle p (in degrees) of a circle with radius R is
A. ![](data:image/png;base64,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)
B. ![](data:image/png;base64,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)
C. ![](data:image/png;base64,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)
D. ![](data:image/png;base64,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)
Answer:Area of sector of angle θ =
×
R2
Where θ = angle , r = radius of circle
Here θ = p and radius = R
Area of sector of angle p =
(
R2)
Multiply and divide by 2,
Area of sector of angle p = (
)(2
R2)
Hence, (D) is the correct answer
Find the area of a sector of a circle with radius 6 cm if the angle of the sector is 60°.
Answer:
Let OACB be a sector of the circle making 60° angle at centre O of the circle
Area of sector of angle θ = ×πr2
Area of sector OACB = × (6)2
=
= cm2
Hence,
The area of the sector of the circle making 60° at the centre of the circle is cm2
Question 2.
Find the area of a quadrant of a circle whose circumference is 22 cm.
Answer:
To find: Area of the quadrant of the circle
Given: Circumference of the circle
Let the radius of the circle be r
Circumference = 22 cm
Circumference = 2πrTherefore, 2πr = 22
Quadrant of circle means 1/4 th of the circle.
Area of such quadrant of the circle =
=
=
= cm2
Hence, The area of the quadrant of the circle is cm2
Question 3.
The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.
Answer:
So 15 minutes = 90º
5 min = 5 × 6°
= 30°
So 5 minutes subtend an angle of 30º.
Therefore, the area swept by the minute hand in 5 minutes will be the area of a sector of 30° in a circle of 14 cm radius.
Area swept by min hand = Area of sector
Question 4.
A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding:
(i) Minor segment
(ii) Major sector (Use π = 3.14)
Answer:
Let AB be the chord of the circle subtending 90° angle at centre O of the circle.
= 3.14 × 25
= 78.5 cm2
OAB is a right angles triangle,
Area of triangle OAB = 1/2 (base x height)
Area of ΔOAB = x OA x OB
= x 10 x 10
= 50 cm2
Area of minor segment ACB = Area of minor sector OACB -Area of ΔOAB
= 78.5 - 50
= 28.5 cm2
ii) Let AB be the chord of the circle subtending 90° angle at centre O of the circle.
Area of major sector OACB =
=3/4 x 3.14 x 10 x 10
=235.5cm2
Question 5.
In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find:
(i) The length of the arc
(ii) Area of the sector formed by the arc
(iii) Area of the segment formed by the corresponding chord.
Answer:
Radius (r) of circle = 21 cm
The angle subtended by the given arc = 60°
Length of an arc of a sector of angle θ =
(i) Length of arc ACB =
= × 2 × 22 × 3
= 22 cm
(ii) Area of sector OACB =
=
= ×
× 21 × 21
= 231 cm2
(iii) In ΔOAB,
As OA = OB⇒ ∠OAB = ∠OBA (Angles opposite to equal sides are equal)
⇒ ∠OAB + ∠AOB + ∠OBA = 180°
⇒ 2∠OAB + 60° = 180°
⇒ 2∠OAB = 180° - 60°⇒ ∠OAB = 60°
Hence,
ΔOAB is an equilateral triangle
Area of equilateral triangle = (Side)2
⇒ Area of ΔOAB = (Side)2
= × (21)2
= cm2
Area of segment ACB = Area of sector OACB - Area of ΔOAB
= (231 - ) cm2
Question 6.
A chord of a circle of radius 15 cm subtends an angle of 60° at the centre. Find the areas of the corresponding minor and major segments of the circle
(Use π = 3.14 and = 1.73)
Answer:
Radius (r) of circle = 15 cm
Area of sector OPRQ = (60/360)×Πr2
= 1/6 × 3.14 × (15)2
= 117.75 cm2
In ΔOPQ,
∠OPQ = ∠OQP (As OP = OQ)
∠OPQ + ∠OQP + ∠POQ = 180°
2 ∠OPQ = 120°
∠OPQ = 60°
ΔOPQ is an equilateral triangle.
Area of ΔOPQ = ×(Side)2
= × (15)2
=
= 56.25 ×
= 97.3125 cm2
Area of segment PRQ = Area of sector OPRQ - Area of ΔOPQ
= 117.75 - 97.3125
= 20.4375 cm2
Area of major segment PSQ = Area of circle - Area of segment PRQ
= Π(15)2 – 20.4375
= 3.14 ×225 – 20.4375
= 706.5 – 20.4375
= 686.0625 cm2
Question 7.
A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of the corresponding segment of the circle.
(Use π = 3.14 and √3 = 1.73)
Answer:
Let us draw a perpendicular OV on chord ST. It will bisect the chord ST and the angle O.
SV = VT
In ΔOVS,
As,
= Cos 60o
=
OV = 6 cm
= Sin 60o
=
SV = 6√3 cm
ST = 2 × SV
= 2 × 6√3
= 12√3 cm
Area of ΔOST = × 12√3 × 6
= 36√3
= 36 × 1.73
= 62.28 cm2
Area of sector OSUT = × π × (12)2
= × 3.14 × 144
= 150.72 cm2
Area of segment SUT = Area of sector OSUT - Area of ΔOST
= 150.72 - 62.28
= 88.44 cm2
Question 8.
A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m long rope (see Fig. 12.11). Find
(i) The area of that part of the field in which the horse can graze
(ii) The increase in the grazing area if the rope were 10 m long instead of 5 m. (Use π = 3.14)
Answer:
From the figure, it can be observed that the horse can graze a sector of 90° in a circle of 5 m radius
(i) Area that can be grazed by horse = Area of sector
= ×
r2
= × 3.14 × 5 × 5
= 19.625 m2
The area that can be grazed by the horse when the length of rope is 10 m long = ×
(10)2
= × 3.14 × 100
= 78.5 m2
(ii) Increase in grazing area = Area grazed by a horse now - Area grazed previously
(78.5 - 19.625)
= 58.875 m2
Question 9.
A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors as shown in Fig. 12.12. Find:
(i) The total length of the silver wire required
(ii) The area of each sector of the brooch
Answer:
(i) To Calculate total length of wire required to make brooch, we need to find Circumference of Brooch and the length of 5 diameters of Brooch.
Diameter of Circle = 35 mm
Radius of Circle = 35/2 mm
Circumference of Circle = 2 π r
Total Length of wire required = Circumference of Circle + 5 x Diameter of Circle
Total Length of wire required = 110 + 5 x 35
Total Length of wire required = 285 mm
(ii)
A complete Circle subtends an angle of 360º
10 sectors = 360º
1 sector will subtend = 36º
Question 10.
An umbrella has 8 ribs which are equally spaced (see Fig. 12.13). Assuming umbrella to be a flat circle of radius 45 cm, find the area between the two consecutive ribs of the umbrella.
Answer:
There are 8 ribs in the given umbrella. The area between two consecutive ribs is subtending = 45o at the centre of the assumed flat circle
Now we know that area of a sector of a circle subtending an angle x is given by
Question 11.
A car has two wipers which do not overlap. Each wiper has a blade of length 25 cm sweeping through an angle of 115°. Find the total area cleaned at each sweep of the blades.
Answer:
It can be seen from the figure that each blade of wiper would sweep an area of a sector of 115° in a circle with 25 cm radius
Area of sector =
Area swept by 2 blades :
= 1254.96 cm2
=1255 cm2 (approx)
Question 12.
To warn ships for underwater rocks, a lighthouse spreads a red colored light over a sector of angle 80° to a distance of 16.5 km. Find the area of the sea over which the ships are warned. (Use π = 3.14)
Answer:
It can be seen from the figure that the lighthouse spreads light across a sector of 80° in a circle of 16.5 km radius
Area of sector OACB = ×
r2
= × 3.14 × 16.5 × 16.5
= 189.97 km2
Question 13.
Answer:
It can be concluded that these designs are segments of the circle.
Let us take segment APB.
Chord AB is a side of the regular hexagon.
And,
Each chord will substitute = 60o at the centre of the circle
In ΔOAB,
∠OAB = ∠OBA (As OA = OB)
∠AOB = 60°
∠OAB + ∠OBA + ∠AOB = 180°
2∠OAB = 180° - 60°
= 120°
∠OAB = 60°
Hence,
ΔOAB is an equilateral triangle.
Area of ΔOAB = (Side)2
= × (28)2
= 196
= 333.2 cm2
Area of sector OAPB = ×
r2
= ×
× 28 × 28
= cm2
Now,
Area of segment APB = Area of sector OAPB - Area of ΔOAB
= ( - 333.2) cm2
Area of design = 6 × ( - 333.2)
= 2464 – 1999.2
= 464.8 cm2
Cost of making 1 cm2 designs = Rs 0.35
Cost of making 464.76 cm2 designs = 464.8 × 0.35
= Rs 162.68
Hence, the cost of making such designs would be Rs 162.68.
Question 14.
Tick the correct answer in the following:
Area of a sector of angle p (in degrees) of a circle with radius R is
A.
B.
C.
D.
Answer:
Area of sector of angle θ = ×
R2
Where θ = angle , r = radius of circle
Here θ = p and radius = R
Area of sector of angle p = (
R2)
Area of sector of angle p = ()(2
R2)
Hence, (D) is the correct answer
Exercise 12.3
Question 1.Find the area of the shaded region in Fig. 12.19, if PQ = 24 cm, PR = 7 cm and O is the centre of the circle.
![](data:image/png;base64,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)
Answer:![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANgAAADiCAYAAAAswQkmAAAABGdBTUEAALGPC/xhBQAAAAFzUkdCAK7OHOkAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAAZiS0dEAP8A/wD/oL2nkwAAAAlwSFlzAAAOwwAADsMBx2+oZAAAgABJREFUeNrsvXd8HeWZ9v99ppyq3uUiN7lXXLENxmCMIXRCJ4GEkGRTNptNNtveze5m2/vuL9lsTTaNhCQEiLGpLhQbY9x771Xutrp0dNrMPM/vjzkzOhK2sYk7uvgIWeUcnTMz99ztuq9bKKUUXbikyD7kQgj/e0opNE3r8HMpJUII//eyf/9Mz+39LPtxp/s9TdMu96G45iG6DOzSw3Ec/9+nM5zOBngmI+mMzs+hlOrw2Oyfdzbk7J934cKhy8CuECilkFJ2+N7pPNf5PJ9nYGd77Om8aRcuHLoM7DLA82DZF392iCiE8A3OcRzO9RQppdB1HV3X/eeVUnYwtNN5tC5cPHQZ2GVA9iH3/u19llJi2zbgGkBzc3OH3zmbVxJCEAgECAaDGIaBEMI3UE3T0HXdz7vS6TSGYWAYRoe/32V0FxbG5X4BVzI65zDe150LD9kGcLoL1LIs/0KXUpJIJIjFYrS0tFBXV0djYyPxeJz6+nqOHz/OkSNHSCQS/uM6vyY4vSFIKdE0DU3TMAwD0zSpqKigsrKSoqIiCgoKKCwsJD8/n5KSEgoKCgiHw/570XWdQCAAuF7W84Sd39/pjkEXTo8uD3YOUErhOI5/EWaHb0II3wtkQ0qJZVnEYjEaGxs5duwYe/bsYefOnRw8eJDW1lYsy/Iv1KKiInr27IlpmuTm5hKJRDAMg169ep3Xa00kErS0tNDW1oaUklgsRjweJxaLcfz4cRobG/3XnZubS/fu3Rk4cCDV1dX07t2bnj17kp+f7xtWKpUiGAyi67r/NyzLwjRN30N67yE7NO2Ciy4DOwu8CzG74ta5nC6EwLZtNE3Dtm2OHz/OsWPHOHjwIDt27ODkyZM0NjaSSqWIRCLk5ORQWFhIIBDwPUpBQQF5eXnk5eURiUQoKCjAsiwAysrKzvn1ejeCVCpFKpVCSkkqlfINrLGxkYaGBtra2ojFYjQ0NJBKpUin09TV1aFpGtFolIKCAgYMGMDw4cOprKyktLSUQCDgG5mu69i27Yeh2X+/y8A6osvAzgKvquddNI7j+BeWdzG1trZy8OBBNmzY4Id4yWQSTdNoaGigW7duvvGUl5dTVVVFUVERubm5fogG+M/reYRQKOQb+PnAy7Gyy/2eh9E0DcdxSKfTWJZFfX09jY2N1NfXc/ToUQ4fPkxdXR3xeBzDMPybSH5+Pv3792f48OH06NHDv0F4NxfPo3nhZRfa0WVg5wDvQvfCwlgsxokTJ6ipqeHgwYPs37+f3bt3k0ql0DSN7t27M378ePr370+vXr0oLS0lGAz6VT6lVAcjza4aen/HMAxs2+4Qmn0UspvHZ2o4O46D4zi+AXkG7f3t7HB21apV7N27Fykluq7TvXt3unXrRr9+/aiqqqJbt26Ul5f7xtaVk30YXQb2EVBKYds2sViMY8eOceLECT+X2rlzJ47jUFVVxZAhQxg6dCjDhg0jLy8PIQSRSMTPUzrnJ97dH/A9l2douq53CE/PFV6Rw3vdp/s58KHwFvBfXzqd9p8jmUySTCapqalh69atbNu2jW3btpFOp+nZsyf9+/dn2LBhVFVVUVpaSmFhoV806YKLT5yBZYd9Xo8o+6LMLlwkk0na2to4duwYa9eu5e2332bNmjUUFBQwduxYbrnlFsaOHUvPnj398OhavLg876aU4tixY6xZs4YPPviA9evXc/ToUfr06cO0adO4/vrr6dOnDwUFBYRCIb8t4BmuaZoAvgc912Pl3Ti8CMLz/tnn0fOy2a83O3c+nWe/FFSxT6yBeSfM+7dlWRiGQTqdRilFbW0tGzduZOnSpSxbtoxUKsXkyZOZOHEiw4cP9/OqUCjkV9SuVXjezgsv0+k0bW1ttLS0sH//fpYtW8aKFStobGykX79+TJkyhenTp9OjRw9M0/Qf74XGcH4UMPiw9/VCW++ceX/ndFxOrwfovZcuA7uI6Oy1PNi2TUNDA/F4nHnz5jF37lxSqRS9evVi8uTJjBgxgsLCQr903jlvupaJs95F6r1fTdNIJBL+92pra6mpqeHIkSOsXr2abdu2YRgGo0aNYvr06YwaNYpIJOIbhGeswWDwnF+D1w/UdZ10Ou3nsqlUipaWFnbv3o1t2ySTScLhMD169PAN3OsNdsaluCl+4gzMg1daV0oRj8fZv38/c+fOZeHChaTTacaMGcOECROorq6mV69e5Obm+nfiYDDY4YLz8qZr1YtlGxa0exPv0vFyyNbWVk6dOsWuXbtYv34927dvp7W1lT59+nD33XczadIkwuGw703O9abk3cQ6v6aTJ0/y4osvsnjxYpqbm7n//vtJp9OsXbuWpqYm7rrrLm677Tb69OnzsT3nH4pPpIF5RpFKpdi0aRMffPAB69at85kP48aNY8yYMRQVFREOh32Dyn58dsgB12bu1fmYdWavZLM8hBCkUikCgQCO43Do0CF27tzJunXr2LVrF5qm0bNnT6677jpGjRpFjx49CAaD53TcPON2HMcP5w8cOMCsWbNYvHgxyWSS++67zzfgJUuWMGvWLJRS3H777TzyyCNUVVX5+eClPFfXBFUqu/kLHZNyL9fyjEJKSTweZ+fOnSxdupRNmzZx/PhxqqqqmDBhAlOnTqV3795+COI9PrvR3Dmev9aNC/hQdfJ0BuYVenRdp6qqiqqqKiZNmsSaNWtYvnw527Zt49ChQ+zdu5dRo0YxaNAgevTo0eHC9/qB2QWNbOKypmm0tbUxb948Xn3lFXJz87jj9jv43FNPUVBQgJSKqp49EcCrr77KyzNnIoAvffnLFBQUnPZ6uZi4JgzMOwG2bfuUHWjvX3k5km3bHDt2jJUrV7J48WJ2796NaZo89thj3HzzzZSXl3eofHk404n4JPZ9Oo/PZB+bzt4NIBqNMmnSJMaMGcP27dt5/fXXWbBgAatXr2bixIlMmjSJoUOHkpeX59OyvPDdK1x4z+fd7Pbv38+SJUs4dvQYN93Un8mTJhEOhXFs93zn5eYxeNBgVndbzfZt21mxfAWfuvNO38CybwwXG9eEgZ2uKmTbtp8rOI7D0aNHWbNmDZs2bWLLli3k5ubyzDPPcP3119OjR48OJ/CTZjQXA9kG6JXsx40bx4gRI1izZg2vv/46b7zxBps2beLmm29m/Pjx9OrVy8+VvBzX69N5Hse2bXbt2sWRI0ewbZuCggKqq6sxDAM94+3SqRTdu3cnEongOA6nTp1i586dDB069LQ3houJa8LAgA7hHOCXZm3b5sCBA7zwwgu8/vrrGIbBM888wxNPPOEXLrzY3ntcdoXwfJgUXXDRuaGeHVXous6UKVOYNGkSK1eu5D/+4z/4u7/7O4YMGcKf//mfM3HiRMLhMPF43B+78XiZ3uObmprQNM3P4cLh8IcqhSUlJUSjUUzT9CMX27YvOZ3rmjCw7BEKLyxsa2sjHo/z2muvsXDhQhzH4cknn+SWW26he/fuBAKB0+ZQ2TlFl3F9fGQf01Qq5VdZs4/pyJEj+dd//Vc2bdrEu+++y7//+7+zfv16pkyZwrBhwzowW7LZLdnUNT9MFwInkyKYgYAfYkopSVtp3/sFg8GPxZL5uLgmDMyDdzJs22bbtm384Ac/4PDhw4wZM4YHH3yQkSNHUlBQ4Hs627b9k+D92/uZZVn+ie3CH4ZgMOg3g9PpNOCW9vPz8zEMg8rKSoYPH867777LggULePXVV/nsZz/Lww8/7OdNHrw2iZcre4ybaE4OeNxOTaO+vp7W1laUUuTk5BCNRv1e2qXsXV51BmZZVgdGQPaoiKZpHDlyhLfffpv333+fWCzGY489xm233Ubv3r0Jh8O+x8o2ns6GpGlaFzP8AsM7ntnNZSklOTk5vre599576dWrF3PmzOHNN9+kpqaGBx54gCFDhpCTk4NSira2NoYMGUJBfgF7LYumpiZOnjxJYWEhZiYqsS2LxsZGmpqaMpVHnYEDB/rn/3TzexcLV52Bef2QRCJBIBDwD1YikWDDhg3Mnj2bmpoaBg4cyCOPPMKUKVMoLi7+UFm5C5cf2Wz+SCRCr169KCkpYdCgQbz33nvMnTuXo0ePcscdd/jnMRqNUlVVxcBBAzlUU8Phw4dZv349vXr1Ip1OE83JwbZtNm7cyMmTJ+nWrRu3TZ/uN5u9HP1SRSb63//93//95T7Q5wtPS8LzXEeOHGHx4sW8/vrr7N69m+nTp/PAAw8wefJkwuGwP0YCHRnnXbh8yK78eoUmpRSBQIC8vDzKysoIh8Ps27ePnTt3kkwmKS4u9pv/paWl1NXWceDAASzLolevXkRzckglk+zcuZMXX3yR5uZmhg0bxqc//WkGDBzQobd5qSrFVx2TQylFOp32Y+j9+/ezatUq5s6dS0tLC0899RQzZswgGo36B9GbrbJtm1AodLnfQhey0JnPmUgkADeUTKVSLF26lHfffZctW7YwZMgQPv/5z9O7d29M02TTho3MmTOHTZs20a1bN6677joMw2DHjh1s27aNCRMmcPPNNzN58mQ0Q/+QpkgX2fc08F5uMplk+/bt/O53v2P58uUMGzaMb3zjGwwYMIBgMNhheNEjmXZ5risH2dPW2eF7tuqVlxsfPnyY+fPnM3PmTCKRCF/5ylcYP24c+Xl5KCnZvHkLC997j+d+/RxNTc0MHDCAL37pi8yYMYPCggI0XUdk9Tg/rtbkx8EVHyJ6pXcvXldKUV9fz5o1a/jZz37GmjVr+PznP8/TTz9Nv379/HLu6QoYXQ3kKwfZDV/vQ2gaDg4I0HUNIdzvRyNRqvv2o1evHrz19lusWLGUooJcygpzieaGKS4ppk+fPtTWNXCqto6mlhYGDxnC0KGDQUhM00BK1UGwqCsHo6N0mFfebW5uZsWKFfziF78A4E/+5E98mpM3uu7dCU9H4+nClYPTnRMlFAhACHShIVS7EXbrXsmNU6awYeMGli1bxsmjR8gJRygpLaWsopL+AwZwqraW2vpTbNm8id27d1BfX0cs1kpZWXkH4Z4z/f0L/h6v5BAxe3ZLSklDQwMvvfQSv/vd7xg2bBhPP/00I0aMIBQKdZhyha7lBlcjFLgeDNAAoVwDk1Ki6TpNLc3UHDrE17/xdU6eOoWhmQzo35/PfOYJbp8xHV3TqKutpam5iUOHaoi1xais6EZRcTE9e/QiJyfnkvc1r+gyffaYeF1dHb/+9a9ZvXo1EyZM4OGHH/a7/Z6n80LJLsO6utHuVySgYTsSU9c4WVvHz597jhMNLfQeMIycogpOHT/GD378cxwhuP2Wm+jeo5Lu3Svo06uK5lgMoZlEozlEQqHLcl1c0Qbmjahv376d+fPns3TpUiZOnMi0adMYOXIkkUjElw3LJulewU65Cx8BDdeTeZEiKEzT4NjxE/z6+ReY/eY8wrl5VI8YzahJt7JuzRo2rVzMT579NTg2t91yI3m5OYQiISI5eaRshWU7GKYJWRVLuDQh4hVjYJ0HF73eyOHDh5k7dy7z5s3jjjvu4NZbb2XMmDGYpklbWxu6rvul985j/F1519UFASgFAoVAoKQCFEeOHmflmvW8/Mpr1De3cd2gYUye/imKqgaTX1lFIGiy+r35/O8vfomVjDPt5imUV3YnmU5jBEIYGTocnWYGL0W4eMUYWHa51vt67969/PSnP2X//v08+uij3H333b4eBrizRh86SV0k3asaUuJyClFIaZNO2by/aBH/+b8/o7G1jdyiMibePB0zp4CEFOSXlXHD9NvJywmxaM4r/Ncvfk1dUyt33/kpKiq7AVqHeTIPl+oauSKSlexxkXg8TjKZpLa2lt/97nfMmzePW265hSeeeIKKioour3SNQxMi48kUqUSS5UuXMmv2bPbVHCSUk0dJt+4MHD6avNIKbGVjOZBXUsYNt93J/Z/5AnUNbfzXs79h2dqN2A44toUpsvM6F5cqjbgiyvTZ+u5SSnbu3Mnvf/97tm/fzqc+9SkeeOABKisrLznNpQuXHlJKNCGQ0mHRggXMnjWLE7V1dO9dTVozmXHfpxk4cgxpKTBNg1Q6iVSg0Cguq6RHv/7UNzSx4N13caw0wwYNIBQ0OuRdl1Lq4YrwYNnu+8iRI8yePZtXXnmFSZMm8dWvfpWqqqoOzeMuXLtwrwPBji1bmTNnDrW1p5gwYTzV/aspKS/nxqm3ogcj6KaJslKYhk4gFCJhC7ScYkZcfzMPfvaLRApK+cUvnmXOa6+i0imfpHCpRYquCAPztDROnTrF7NmzWb9+PY8//jj33nsveXl5fo+ry3td+1BSkky08Zvf/JpDNTVMuH4iAwYMZunylVw3ehxllRXYaEjNwDA0AqZBIpkinBehzXJQwSD55d2YPPVWiiu6MeuV15j16utYloOUmbAwM6CpcIsoFxOXvMiRTqcJBAK+ulNOTg5CCOrr6/nVr37F+vXrue666/jc5z5HSUmJ79mudfXcTyK8IUzLsjJVX0VTYx0/+dGPWb9hPQ8+/Bi6GWH7/sMYOUUMHTORpKNjaxoaBgJB2gal6yRtG01XpByL/JJCxt40FaUUq95fxH8+O5NAMJ/bb78NQoK0bWGaOhKJgUBHA6W5bTfBBXU7l9yDmabpr/cJh8NYlkVzczOzZs1i6dKl9OjRg3vuuYfS0tIuqtM1DC/kl1L66lHxtjizX/49r776CsNHjmTc9RMpKq9g3dYdDBw+iryiElKOwjCDOFIhMVBogMv4EEKikCgN8kvLGHPjTYyYPJU4AWa++jpHT56iLZlCMwySVsrtCaBwLSuDC+zQLrmBZa/mUUqRSCRYu3Ytr7/+Ot27d+fBBx9kxIgRXQZ1jcMjYXuCNolEgoXvLeTtt9+hR88ePPLoY+TkFrB89VqaW9u4YcrN5Oblk0gmMQy32ghuQ1pT7meU642kBEcqevbpw03TpzH5lls40dzM//mH77Fjz16kglQ8haY8A8hcawLUBb7sLksOll2sWLNmDT/4wQ8IhUJ84QtfYOLEiYRCIeLx+OV4aV24RPCUlYUQtLS0sGXLFp5//nkaG5v4m7/5O4aNHMWOvfs4fOwEPat6M3jYCDQz4IaTSsPUNddAvA/pGpnjOAhNI+04tCQSFJSVM+6mKZT06cubc99i/oL3qKutJy+Si6E0hONalRIKW4C82g3MK5M6jsPWrVuZNWsWgUCAL37xi4wcOZJUKgVwXosBunD1IXth3+bNm/nVr35FLBbjj778FfoPGkLaEbw5/x3qYwmuv/lWzGgOjhIYZhDpKLAlmpLoqp1W5V3MCoEZDJOW0Gbb5FdUcvO991AxdDgvvz6H9z9YTkNdE9gaSA2UGyTaQmIL+fHf1GlwUQ3MK4lml0g9BacTJ07w+uuvs3PnTp5++mmuv/56AD8u7yLsXjvwdDCgfaGhx9zZv38/K1asYMuWLdx5593cOuMOcnLzWLpiFQeOHCe3uIzBo8YQtyS20ggEQkjHQTqOf/EK70OBoZs4jsRBIAwTR9chGKKkZ2/+zz/9C3o4l+//8D9ZvHQZrbE2lBIoCVK11xQvZBp2Ua9iL8/KVtiVUtLS0sKKFStYunQpd955JxMnTiQ3N5dAIEAgEOiqGF6DSKfT/mJ2D01NTcyaNYvZs2czceJE7r//fgryi0hb8NY77+FoOqMnTiaYV0BSKqTQMzxTDUPXkGQV/hSABlIhhIYjFbYCNIO0gpQwqB42kIc++xSWZvCTZ59j8bJlSE3hKOXyFJXIFD4uHC6qgXkHM3t1jOM4LFq0iGeffZaePXvy+OOPU1xc7A9LeiP+2SeiC1c3vFDQE/3UdZ36+npeeuklFi9ezLhx4/jOd75DSUkJ8XiSTZu3sWbjZqoHD6ffkGE4uoEtDBxNoNBcQwCkkJkPhRSZQkem5C6UW10EDSUMQpE8mmPQrU8/Jt1yK44ZYP6iRezZX0M8mQQFmlKYQuNC3tovqoF508jenUsIwZYtW1i5ciXJZJInnnjCn0SGjoz6rhDx2oHHXPcqhkop3nrrLd566y169erFE0884fY8hU4qneLnzz5LYXEpQ0aNJr+ojIQNUugotA7hm6O5H9IvAgqEynxk/o0SIDXsNKRsm4qevZhwyy1071/N3mPHeOm1V0ik0+hCoNsSzb5KcrDsdUHeHez48eO8+eab7Nmzhy996UtMmDABpZQvJuprM3SFh9cUspeuA76ATWVlJXfffTdDhw4lEAig6Rr79h1k1bKVDBtxHd179AIjgESghJcbiUw46BqWFOAIL3dyDUtrz8rcr4UgGgliGBEczaCsZ09GTLqehFC8+vprLF+1knTSQggdcYFN4qIZWLZSkK7rtLa2smDBArZt28aYMWO47bbbfPljz9Nlz3B1hYjXFmzbJp22WLNmLT/+8f9iWTY333wzU6ZMIRAIYNtpamvreOX1NwkXFdOnf3+KysqwlcKm3YhAZShOsr0gIToWJzKKiy47Q2kIRyPVJpG2wnYUOQXFDBx5HaOun0xCN/jlr3/DoYOHsFJplG3zkaWO86iEXPQ4zDOabdu28eqrr1JQUMA999xDYWGh+wLOMOLfFSJefciuFHtVwnQ6jVQgFRw/Uctvf/MiJ4/X8shDjzDtllvJy80jEDAQOuw5uI+X57/D+Ftuo6SqN9I0sZRE0zPL/zSF0iRSy+T2Sri9LKWhhIbKeDMpQAkJQiKQaEgMJEIplDJpapNgFjNszM3ccMu97Dtcy3O/e5GmhnowBWkrgcQhZSVRSByVudl3tuJzMLKLdhV7BpJKpUilUsycOROAe+65hz59+viVwmyGcxeubmSLenowAwGamlo5dvwEL774IgcPHuTJJ5/kppumUlZa6nofJahvaOT9JUsI5RcycMRIgjm5OAiMYACpHIRPaZK4waBEU8LtgXUKGaXofO27j3HJHhpSmEhh0q2qF8NGjaWq30CWrFrDtj17ScTj7ntwJKZhAlmT8dmZyzlmMRfdTSileP/999m2bRvTpk1j4sSJvpD/pRTh78Klgbf21cutLcsimhNiwYL3+PGPf0zfvn34zGc+Q5++vTAChuvdhOBEbT3LVq2h/5Ah9O4/kGAkguU4mRK8QlP4TWWXvaGdV8NK+Z4tI3gqIJITonf/am6ePp29NTX86w9/yPFT9QgMHNsBJbAtG5Wdrnjp3TniohY5lFLs3LmT//zP/6Sqqoobb7yRwsLCD6m4duHagee9PBJvMplkzpz5zHz59/TuXcXTX/gc0Zww6bSFVICmcaqxmfeWLKehNc64yTeihULYQsPJGKnQNATSbSQr0KXwvdY5vSbfuDLUXiGRAmqb2whGc+g1YCC3P/BpdtQc5t33P6CluQ1DCyDI7CLz5XfafahzjrzFixoiJpNJ3nvvPWpra5kxYwZ9+/b1CxvZS7W7qobXDryQ3/NgCxYs4H9+/D9UVlTwj//4jwzoX42QDoFgACHAAbZu38m8dxbSvW811UOHIYIh2iwbDB00AcoBJELJDv2t84FXyvcq90oozFAQaZqYuXncNOMOKvtW8/zMV9m2Yze2AyDQ0N0EMivMlLiv+1zKcBfEwDxvld3nSCQSbN++nRUrVnDrrbcyevRof/Yr+2R0GdfVjc75c3b+tWbNGn71q18RjUa48647mTT5esLhELppoByJZUkamlrZuH0Hh0/WMWLs9QRzC1CGAZoBGelspdwCxce/UjI3806VSKFrJKw04bx8Ciu7M/GW26iLJXh34WKOHj+FVApNEzjKyRptOT9K1QUxsOy9W56xHTt2jJdeegkpJY888gjdunXr0Ofy1J+6DOzqRucbpqZppNNptm7dym9+8xsaGxu4/fY7mDb9VgxNR2iAkmiGQDMEu/buY/W6TVRU9aH/kJFgBElagkAw5OZnUmb6Wh0v5/MfK8kURLJMI52ycBQkLYkeymXsDVPp0XcA8xcsYtuOXUil0E0dQ9MBCcqtSp4PX/GChYheY9m2beLxONu3b+e1115j/Pjx9O/fn2Aw2FUtvIbhrd0VQlBTU8Pzzz/P5s2bue/++7nnvnspyM9H1zV0AboGSklaY3FWrFrN8bp6pkybTnFldyQGoOMPUeKW290P5eZAwi2+n1exwVMLyPxbQ2XGpgTCDCB1k/ySCqbO+BSN8SRzFyxk+56DGRKwAk+vUbUHqOfy5y+IgXlLpZVSmKbJ4cOHWbVqFZWVldx5551EIpFLea67cIng9byyWTgtLS288sorLF68mJtvvpn77r2PwsJCpHQQXgVOEyAlGzdtYsu27VR068Gw68YhtQCgZxrEOlqGteF9SBSOBrbIbjx/NNx5MQ1Dgi7b58c0oaFrBkIPkHYgJTX6DxnBwOEjeH/FCt5d9B5pWyJlpvnsVzHdquYl64N5YZ+macRiMVavXs2mTZt48MEH6du3L8CH+iNduLbgOA5tbW0sWLCAefPmMXjwYB555BHKK8pdXXihuV4oE8W0tcVYtGgRLbEYg4cNJ6+gCCUynguX5IRH3qW9t6WEyz90Q8Rzd2G+58oYiFCQTqVQChxHotCwHEUkL58bp02joKSEVevWsm37jnaGvecF1bmXWS5oiOg4Dnv37mX16tUIIXjkkUc6UKG6yvLXDjqvgG1ra2P37t388pe/JBqN8o1vfIPevXsTME1s20LTMsxATUMq2LP/ACtWryWaX0i/AUPQAhHSmdp3uy59pjzuN3pFO5FCeOWGc0c7KVgBAl0YGLqJbTsooZBSYQRDjBg3nuGjx7Jp2w7mvvM2tsyyLNU+e3YuuCBXvBcqWJbF22+/zYkTJ3j44YfRNI1IJOIPXHZ5sKsT2aX3bOZNKpXyF2+sWbOGf/7nfyYajfLVr36VgQMHkpubi0BgCIWmJPFEHCU0WhJpXnnrPVJGhNKeAyju3o+WpEJpRmb0xBtD0ZDoKGWAMt11Rrj5k0Ces//yCMEuacp9TtAQQkdK0DQDIUzMUIiEIwkWFlM1cBjlvfuxfO0Gtu09gO1I15FpZAjsXFqqlGEY7Nq1i/Xr11NYWMgNN9xAQUHBh3bwduHagJTSl9/bvn07L7zwAnv27GHGjBlMmTLF35GtaQJNaKTTKcKhKCnLob6phc3bdlBc0Y3qQUOQmk44J4jS9MwCvuwrV3T48H58Po1myO5/ZT/naX4PiCUsBg4bTt/+gzhRV8/8d95FiQzrSDoIzdXiFudwOV9QD7Zs2TKSySQjR46kqqrKl+PqGkG59pBOp1FKsXfvXl5++WV27tzJ/fffz4wZM8jLy/OjFsNwZatN3aUfJRJJFi56n7qmZoZfdx29qqtRmiBlKZKZPurlhBAaQtOJ5OYydPgIcvILWbNuPfXNTViOxFHu70jn3Cz8ghlYU1MTW7dupbS0lAkTJvixObSrSHWFiNcOAoEA+/fvZ86cOSxbtoyRI0fyjW98g27duvmCouAq9TqpNLpuIh3FqbpGXnr5VQqKy+jZuxotEECYAdJSEo6Yl/tt4SiF0HXiyTT9Bgxi8PCR1Bw9xrx3F9AaTyAyUZgj7XN6vgtiYF7u1dLSwrhx4xg4cKB7cLP4hl4pvwvXBuLxOEuXLuWtt96itLSUr3zlK5SUlPgEbm+Rh1QSA7fsl7Ydlq9ay56Dhxkx9nrKqnohAiGUDmk7TTJlnX/sd4GhEFhSEYxECebkUtWnL1owzG+ff5FT9Y24vH4HlEud+iict4GdbryktbWVuXPnEo1GGT9+vE+Jys65ula7Xp3ILk55n5ubm3nrrbeYPXs2ffr04Wtf+xr9+/f3H2N6C+8ATdPBNFFS0tzSxqIPltN7wBB69BuIHspB6Yabz5kaunZlEBHStsJRAnSTfoOGMnr8RDZv2c7u/QdIpNIuw0M/N2dxXle8xx3M3kKZSqXYs2cPe/fupX///j4lynEc/3Fd2yavXnjnzZM7t22bjRs38utf/xrTNHnooYe4/vrr/XW/2Y/z8i+FoqmlhaWrVrP38BGm3DqDkm69kHoAB4HMLNzThUKoy5tGKCHQDIOULVF6gPySMrr37ouVSrNoyVJaYjGk43oveQ5h4sdyKdnl2kQiwYoVKwgGgwwfPpz8/PyuIcprDLZtYxgG6XSa1tZWfvGLX1BbW8vdd9/NxIkT0XWdYDDoe63sG7Byd8Jy9ORJnp85k5yiEkaOm0Q4rwgH3aU8ZZq/ujz30vtFgxCgC7dloOmYkRx69qlm8MQbWL9pC7F4EjSBpuu+fPfZ8LENDNyQobm5mQ8++ICJEyfSs2dPgsEglmV1DVNeQwgGgxiGwZYtW3jmmWc4dOgQTz31FHfeeSd5eXn++fbWUHVGrC3G1t07WbJyFWMmTsKM5mIhsJWGzDSWDSkxMgyLywrltqEdASnLwZaQX1zC7Xd8itr6BtZv2EBtXa1bvJHORz7deRlY9p0J3ER306ZNHD9+nBtuuIGKigp/uUOXB7s24KUBniLYjh07mDp1Kg899BAFBQX++l/btgmFQh9KIaSS7Ny7m/fef5/Kqh5UDx6M0g2EabqbKTM7mTUUGvIKKHK4iyOEpmMrSNkOgWCY4aNGUVBcxBtvzuHwkcPnrD79sTyYdwDr6+vZsGEDVVVV9OvXj7y8PD9W7yrJXztoaGjgueeeY+PGjVRXV/PEE09QUFBAIBDw83JvkLZ95jcz2qEku/bsY/POPUy/406KSsoxwiGXU0j7XJU8z1H8i4ZMSGvoGobu8kaMYJiSblVU9OjL2o1bqG9oRUnnnO4FH8vAEokEyWSSeDzOli1bmDp1Knl5eZim6Xfwu9a9Xn3w1KBcibU0tm1TX1/Pu+++y6pVqzAMg29961tUVVVhGDpCKAIBIyNgpBBCYTsW4OA4KRAWB/bvYc2mXRjBQoZdNwkjlEsyaeNkaEdK15CGga1rpIV2HgSoiwOhCTQHNGm7GaIAG4OEDDJo9I20WCZ79x2l8URTZqS5ff/C6ZzKeRmYN5oQDoeJxWLs3r2bmpoaxo4dS3FxcVdx4yqHF3l4+ZSmaSxYsIDXXnuNtrY2nn76acaPH58JBbMfmV3GV6QzOZnjSNZu2MDOffvpN2wElT17+ZPK/jpX34cJ/pCZ5QsF71V4s18AjhCkHEXfAYMoKCxlzfoN1NXXozK7F6Dj0HGHY3pefzzrqDY0NLB8+XIqKiro27evv26oc57WhasLXj5lmibr1q3jvffeI5FI8Pjjj3PjjTf6/MPTnV+haei66S5ecBTHTtSyat1GWlNpRo0bT0FJCbZUaKbuKu5mzVZpmTmty29iGXR6e0opioqKGTR0GFu27eDg4aPuMgqno1PpfFzO28C8XsfJkydZs2YNt956K6FQyPdeXQZ29cJbiKdpGkeOHOFHP/oRW7duZdq0adx9990EAgF0Xe/Q78qGW9RQBAMhLCVYtW4ju/Yfos/AIfTs15+UAks5GIbme4l24xIfi8R7odH5NcgMOdgIBhC6wfiJEwHYX1NDMpXyK4ln6vWedw7mqUUdOXKE2tpaRowYQSgU+lBFpauxfPXBMAwsy+L48eP86Ec/YsuWLdx666088MAD/kJ6X+Ic/UPCGEJAOm1hK0FtQwtLV62FQIShY8cTzMmjLZFC6IZbqbMt/2LWcA1MU1cK06djJqiEwFGgDIM+/fsTzi9g+5697Nm370N51x/kwTwPderUKQ4cOIBhGHTr1o1gMPghKlSXgV3Z8LRTvAvCy7lOnTrFc889xxtvvMFtt93GPffcQ+/evV1GfEaNWdf1jhMfyqsaCjTdIGlZrFy3ga279tOz70AGDB6BrRnYCIRuYDsSTRMZWeuMzpMQF3w/8seF5109V6YQpB2JZprk5BeQV1LK/sNH2LpjJ5qmddge1Nm7n7eBgRseNjY2MmTIEF9ItAtXFzxDkVKSTqcRQnDy5EnmzJnDokWLmDx5Mvfccw9Dhgzxb5zeeT5T/0cpiRIazbE2Xpw5m+KKnlQPGYkZznF9gtDdEoJsX2KuUL4YttcNu7xQH/pKikzTQWhE8goYNHQY8bRNzeEjAD4l7HQzj+f9bqSUHDx4kJMnTzJ9+vQuQZurFNlzeoZhkEqlWLFiBS+++CLBYJAnnniCYcOGfcT57RwiCpKpNOs2bWXnrr1U9upD34FDQZigDFDu4vLsHEcJ5S9tOFe13IsN0YFRkhEvMDQSlk1KOgwYOhwzEqHmyBEaG5v80aw/uEwvhCAej3P06FHa2toYO3ZsFyXqKoV31/W0VFauXMm8efP8cvykSZMIh8NnJAyo03xHKkUymWTmzNl0692XHr36kVNYAkpHKN0d+VeeDLYbVrbvyHM9xBVhYHSMgKUQGbkAjaRlU1RaSjgvj0OHD7Nj544OYeEf5MG8JXpHjx4lEonQt29ff7CuC1cXPB1LpRTr1q1j/vz5HDlyhMcff5wbbrjBb7ucDSrr/wDJRIK1a9excfMWBg8bTlXfaoRm4Gociozs9YdL8b5mxhVgXB46VzNtqTCDJrppkltQQFlFJbX1jezZvQfgjFP752RgXu6llOLIkSOcPHmSgoKCrvDwKsCZejReW+XkyZP8/ve/Z968efTr149vfOMbFBcX+79ztpI8eCLU7mBlPJFg/ttvk3YcBg4ZTig3j5R0JdE6amJ8GJe7PN/p3WXlXe7XugDlOFhpGzOSS/e+A5FGgKPHjiAzpXpHyQ6eXQFnje88QqM3rqCU4tChQ0SjUcaNG3fOhMcuXD5kbxrNvlFalkVbWxu/+93v2LRpE3fddRdPPvkktm37y8pdNsbpDcxSylsxTjqVxHYcDh07xtadOxl7/US69e6NMiM4IpjhGbqhpsvZaN+1LDJria4cqCwFYffGIFAI4aBsG6FBUupEK/oQKizlwKH92NLCwMRRjjuMqRkIQMpzLNl4FRLbttm/fz+WZdGtWzc/xOjClYtsbZTsZDydTvPzn/+c1157jX79+nHPPfdQXV3dgTQAZyYMGJqGJkATOrpu0NLSyuIlyzh2qpbpt38KPRghkhsi5bRruXdc8XqlonPgmzmOIju/EhSVlFJaXsGpunp279tH2nbQdbOjbr2QH21g2eyMWCzGkSNH0DSNysrKs56ALlwZyF7pml2wmD17Nr///e/p168fjz32GMOHD/ejlGw1qDNFKEIppG2DAl0Psr/mCM//fiajJ0ykomcvlG7QmrQzSthX/2SFN5ZjGAYKRTSaQ2lJKW3xJLt273F7YY7E0HV/wYTLxf+Ik+MZmG3bnDp1ilgsRk5ODkVFRX5zrQtXLrxihjdOkk6n2bFjBy+99BI9evTg0UcfZejQoUQiEf9cekrMnY0yG5oCPSNm09zSyvrN2zhx5CQ33HwbtqYTyotgSQehXxspRLa2p1KKQCBAMBLlVH0zBw4ccUUSBcjMVs5M6nZmA+t8YNPpNCdOnMCyLAoLC13V1i6tjSseXoThOA62bbN161b+5V/+BdM0eeyxxxgzZgylpaX+bjfvMd4FdcY2jHT1lZRSrFqzkSUr1jDk+sn06NsfI5JL0lJopnnNGJiXj9oZrx0MBqmo6E44ksOxEydJpSx0oeHSmF0NfqHE2T2Y5xallASDQY4ePUpJSQllZWX+sF1XiPjx4EmN27ZNIpEAOs4UqUxPKRteVe9Mx9zOGp/wGO9egcO2bQ4dOsRrr73G8uXLuf7667n55pspLS1FCEEwGGznGWbu1NlLzT/EoFegHMmJE7Ws27SFY3XN3H7Pp9ECUaRmYitB2rLOaaz+akHniK6sopLBw0axe+8Bd5eZo7DstL+HTIizVBH9eDNLSerEiRMEg0H69OnjG1gXzh+pVIpAIIBlWT5RuqGhwf95IBAgEAj4PcZ2CTTtrIOs2Ux3zzC8jTeNjY3Mnz+fBQsWcNNNN/H4449TVlYGdGzDnHNEkllDtHHrVlat30h+cQXDRk8gLjWk0l1qlLr8xKeLiXAkSiAUJZFM09aWoDg3h4Bu4M7HaYA6s4F5IUI6nSYQCPibU2zbprS01D95XdIA5w+PAxgMBrFtm6NHj9LS0sK+ffsIBoNUVVWRm5tLeXk54XAYcL2Tl0edaYF89u948M7PmjVr+OUvf0nfvn3553/+Z0pKSvy5L09m74wFjU5bLMncnVOWxZy336auJcbdD9+PCERRtkIqHYVCx12ld4WXDT82gpEoRjBKW2sbp07VUllcgGEKhKa72zCVxkfynLxQwXEcYrEYFRUVFBcXdwgnunD+sG2bLVu2sHDhQpYtW4ZpmkyaNIkePXrw/PPPs2TJEh555BHuuusuunfvTigUOuOgo4fsQoYX5rW1tfHKK6/wy1/+ktLSUr7xjW9QXl7+IQXe841GUrbFyjVrOHDoMIWlZfQZOAhbGC7lCS2jcygRjroiJpUvBsLhKAWFRaQUnDh5iuuGDHRzTuV2++AjQkRwVVpt26atrQ3btikqKvK1D8/UhOzC2aFpGps3b+Yf//EfOXDgAIMHD+aWW27hnnvuIRQK0a1bN9atW8fzzz/PsWPHeOihhxgzZsxHLtHw8i2vOOEtxHvxxRcRQvDVr36VMWPGdCAOePnV2fZlf0jnEIWuG/x+1sskbIupkyZTXFFJQ1sSPRwFIdCFO7EsHRuh6VcEx/BCwzBMIjm5xNri7Ny1i1smjydkBvH1FNRHlOmzRVDq6+tJJpPk5OQQjUY7bLXswtnheQjvc21tLbNmzWLdunUEg0Fuu+02HnvsMYqLiwmFQowdO5bHH38cXdd55ZVXWL58OfX19f65OBOyG8rpdJrly5fz8ssvEwgE+MxnPsMNN9yAYRi+vJrn8fz+l1SZu2+nkQ3VUULbcSSbt27nxIkmevbsS4+efTAD7qiJUgIhQAgFwkFh42l2XB3wWCaau8oW4fIopYbIbGaWQqCEjh4KYua4Go/1jQ3uQkBdw902qKM07ewGJoTwy7enTp0inU77/ZLsClUXzgyvggduldCyLA4dOsTSpUuRUlJWVsaoUaPIyclB0zR/Wfy0adMIhULEYjGWLFnChg0bgPa1QWdaiqeUIhaLsW3bNt58803279/PhAkTuPPOO8nPz/dDw87eyr1hKshMZ3k25q1Y9b7QELS1tfHOgqW0pTT6DhhF957VxOIagWAQNIVE4igLW1hgqKvOeylvQR8amnQnAVDuFLcSBg4aUtexjSBmQRHF5eU0NDbQ1taaUTJ2jUtq4qOLPF4C3NDQgGEYGIbhe68zJdtdaId3IXseI5FIcPjwYZqbm0kkEgwaNIj8/PwO5XHDMMjPz/clqbdt28bu3bt9fuCZ4Hk427aZPXs2W7Zs4eabb+ahhx6ioqLC33BzxtA+ezeqaN8eIjK6FEK4d/dDNUd4Y958CiorqR48mFA0ByUEwvjwuMlVZlvnDFegVFJYVER5RSXHjh0nEY9nftb+rs/JwKSUnDp1yu+BQXt1qquK+NHIngROpVLEYjHf63Tr1u1DRuOV43VdJxqNUldXR0NDA0opf6nh6aBpGk1NTcyePZv333+f0aNH89hjj9GvXz9fEgDOTG9rnypuDxKFAF3XsCzb3ewILF66nLhyqB4+lJzSEuLKxlLSHZjMPBN4AjLXqolljottYxhu6yQciXzohvKRVCmvpFxfX09xcTFFRUV+j6Vr7/JHo7OXz77IvejgbGF2MplE13VfD+Nsldt4PM7y5cv54Q9/SGFhIU8++SQDBgzw9TQ8UZszzfDJrI8O38+cY9uWHDtRx/sfLKXv0OH0GDQQPTcHW9eQhobl2CiR/ehr17gAHMc9h0WFRTQ1NWUIA51C77M9QfaJTyQSH4rfvepTF84Mz5C8Y2maJpFIxA+1T548SVtbW4ccygv1vJVAlZWVlJaW+s95uhBPKcXq1av50Y9+RH5+Pl/72tcYOHCgL7XmMUdM0+xAi+qIdhma9uGSDGXKNDhZW8/K1es52dDEmMk3UNSjJ5Zh0GZbSA2EtzPrQzuWr13k5+WTk5tDXV1dh/Ps4ayNZq+ZrJTypZS9k5Pd9OzCmdE5R83Ly6N3795++Hfo0CGfKuUxMTzpNI/pMWjQIAYOHOhrZ3jzWtnnZuHChfzkJz8hmUzy53/+54wbN85X+/Ke27sZBgKB077WzBC/b2Lt4yU6SUtysr6ef//xj+k3eBj9hoxEj+SiNAND13CkK3rzYe967RqYlE6GZhbCcWxUZwk3zuLBNE3z4/22tja2bNmCaZqUlZV1MKqzlY278GEIIejfvz/33nsvSil27dpFTU0NlmX5niuVSvH+++/T1taGpmncfPPNVFdXdwgrPT6cZVmsX7+eWbNmcfLkSX8hXmFh4XlzRV0WuPtf9oVh2RYp22Ltpi1s37uX6uEjMCM5KAyk0lAIV5s+k8W5ojEKMj+7VuGdC8uy0LTT9xHP6MGycwPHcaipqWHMmDE+dcd/gi7Rm/OGaZp87nOfI51O8/bbbzNv3jyi0SgTJkzAMAy2b9/OSy+9hK7rPPHEE9xyyy0UFhb6Xsjbx5VMJjl69Cjz58/nxIkTjB07lrvvvtuf1XMc57xCeG9+yRd98TQTlcO+gzW8v2IFg0ZdR59BQ9HMEDaaa47KLToq0f4YD35P6RqEQCA0QSBgopR0i1dSIrIO+VmZHN6JDAQCvqxyNiH0bPy1LpwZgUCAkpISHn30UQoKCtixYwerVq2isbERx3E4fPgwvXr1YvTo0Tz44INUVFT4/TRd14nFYjQ1NXHq1CmWLl3KihUrGD58OJ/73Ofo3r37hxjw50pn81YkC5/p49KcHMdhw9YtbN65k/sf+yyhvDwQmf5QZolD+wyUJyTqPau4wvQ2LhwU7lxYYWERjiM5efIkgwZUEzDwI+MzGpjXk+mcZ51N6P6iv6FOIc/pKmpnC4uuFO6kt72kurqaxx57jJqaGlpaWkilUqRSKQYMGMDNN99Mr169yM/PJxAI+CuFDh8+zPvvv09dXR0nT55k69atlJaWcvPNNzNs2LAO/TRvUcN5ebHsuf7Modqzfx9LV6wgmpvHkBEjEaEQCAMNDaSbuWm69zBJx0H5y3+8LxakVGhCIxp1yRctra04lgVZglxnNDCvb+LdObN19KB9yfWFMbIzzze5F4cglUpy6lQtb7zxBslkEsMwmDp1KoMHD+6wCG7fvn3MmzfPf/3ZvLsvfelL/njIhxni+I3czkaa/bVbkVPomUFCJyMD3X6cdNLptM/IEKK9KZ+96iYQCCCEoLy8nPLycv9veXG9ZxSebqHjOBw7dowXXniB3/72t6TTaf/377//fqZPn96BXeO9l/OJMByZWQGr3OV5jiMRusGmzbvYun0v191wC+Xd+9CUtDzHlfFUwl0FKzwOvdv/UlfAzeyiQ2QWp2cKVNnSPoKzGNjp9BlOJ3R/XjNEZ0Vn/pvCcWwsy128/f3vf5/Zs1/h6NFjFBcXU1dXR35+Pt/97nf50pe+5L/GjRs38md/9meEw2ESiUSHuasZM2YwePBg//mz0dbWRjQa5fjx4xQXF2OaJq2trf6NxDOYWCyGaQRxdJ1kMoFSitzcKPF4nEgkTFtbLLOEUNIWbyMYiKDrOqlUCsMw/MLR6WSove9l57UerzAYDFJTU8PChQsBKCpyey+xWMy/iWQ/7kyUqLMd/7RKE9BNd5JJChwp2Le/hrUbtmIE8hg5eiJpZeJoWubyURmaR0aFovMyiGs0NPQglXIXCGZYvRJ39aw/Q8kVnH16oU4ymfQ1GH/4w38jFouxc+dONm3aRHl5OX/9139NU1OT/7u2bVNcXMzixYupr6+nsbGR+vp6amtrqa6uPmPV0wvD8vLyEEIQi7mG4hFjU6kUlmURiURRSqLrglAoSE5OlNbWVl+oMxwOo5QikUgQiYQ7iMecbfXPmZAtn+bJNqTTaf+9FhQUEAqFLkg119QMBAIl3elc0wyweMkydu3bx5Dhw+lV3Y+2VALNuDbZ8R8LyjU0lFeB/QO2q1xqCCF8gupf//Vfc9dddwFuFa5v3758+9vfBmD16tUI4ZJQvfK1aZoEAgE0TfONxDCMM+Yj3gWq6+0hnm3bJJNJAoEA8XgcwzBoaWn2qUO2bdPaGiMQCGToTy6bwmvKNze3YFkWra2t/jjI+RpYPB73G8UFBQUUFRURDof9otPAgQPp3r37BVFYNjUDaVsoqdA0gxN1Daxav4FgTj6jJoxHDwZRhkH6GpIB+EMgNOHTx4RwTUv+IdtVLjW8C+t0OYnXE/Ik5JRSFBQU+GwFb+gwHo/7YZKngXE6mKZJPB7nJz/5CSNHjqSoqIi+ffvy9ttv09TURH5+Pj/60Y+orq5m69btfOlLX6KkpJTevXvzF3/xF8RiMX7/+5e47bbb6NGjJyNHjuK99xbhOA6hUAjgvPtS4Dambdvm+PHjrFy5kqamJgYOHMhtt93GM888w3e+8x0mTZp0AY62QEmFLgWGbpJMWbwx7y0OHj1OVb/+9Bs0FAuI5oWxnS56nAd3zEeCAP0083pXdBPLsiyCwaDvRbz9wV4u+Nxzz+E4Dv369cNxHEzTxDRNmpubefLJJ/1x+HvuuYdvfetbhMPhs47Ff/e73+XXv/413/ve9xgyZAjJZJJHH32Uf/u3f+Pzn/88uq7T0tLC/fd/mm99+5t885vf4MUXf89PfvJjFi5cSENDAz/4wf9H//79+ad/+ie++MVnePed97juuuv8POl8qWXJZBIpJe+++y6LFi1iwoQJPPbYY1RVVRGNRk9LFv64cPs6BpblcPxUPe+8t5jc4jL6DhpKtKCQ482tYCt000RdSeteLxN84SLHQQh3CkIzjA7H5Yxnxu1Oa35j00vOPTVfz5NczEaz9zez9y8lk0nC4bA/sPh//+//JScnx+8PRaNRbrnlFn88JBaL8YMf/IB58+Yxc+ZMysvLT0sV2rFjB3PnzmXGjBl8+ctf9v/e3r17Wbx4sZ8HaZrGM898gSeffIqCglwGDx7KCy88T0tLC4sWvUevXlUEAgG++tWvsGDhQpYuXcrQoUP9otHZDCy7mpl9J3zrrbeYM2eOXzG87bbbzjqB/HHhWBa6GUA6kveXLafm2EluvOMuBo0YSWMsjhEIk0g6aMLIbEf5ZMObjmhsaEA6Dt179HDtwSd0n8XAsmP6YDBIcXEx6XSaRCLhcxQ/aoT9D0U2W19KSTKZxDSDLFy4kD/+4z9m9OjRPProo34RIRgMMn36dG6//fYOQ46rVq3ijjvu4M/+7M/45S9/eVoD89YyvfXWWx3ef15eHg888IAvoaaU4sknnyIvN4dUyr0JTZ8+ndraWvr1q0Yp1wgHDBiAaWo4ju0bu1eJPd0x88JHXdf9m5bjOCxevJjf/e53NDc38+ijjzJ9+vSLdtz1QBBpO5yqb2DeOwvo3qcflVV9MMJ5KM1ACh0lhV+i/6TDrRS6Q8m6oZOfn4cuzpFNny0XEAwG/ZmixsZGP//JDtcuBrwLzqvimabJgQMHePzxx6msrOT111+noKDA92zZ6kjJZNK/sMeOHcuMGTN4/fXXzyg3l0ql0DSN3Nxc//FSSj809cr0ubm5xGKtmTkpHSHcY5VKpbBty2dP5Bfkk0ikkfLDzfEzvVfPAL0K4a5du5g9ezbbt2/nvvvu4/HHH/cLNxcDjm2TsmyWrVrN7gMHqR48lN7VA5G6gRImKB0NDV1e+yX484HMnF/D+PCs3hnPlHfCvQvWW/bgNWo973Ixx1W8i9UrFCxdupT77ruPUaNG8c477/ieSAjhLy0wTZOGhgbC4bD/2sPhMC0tLZSXl5+xyOBJ0x09epRUKkUkEukwQlJXV+fPZOXk5GLZjs8ebw+nDb+5HTBNDEN0eC+dQ79sZI8ABQIBTpw4wX/913+xdu1a/uiP/ogZM2YQDAYv6sINTddpaYvx6ptvUlxRSbfefSgsKydpSVK2dJkLEnSukFWUVwAs28rIZQvs04wBndHAOqu65uTkkE6n/Yv+o7ZvXAgYhuGXvLds2cJf/uVfkp+f7xNhdV2nubnZV8FNJBIcOXLENzzDMGhtbWXXrl2sWLGCv/qrvzpjY7y8vJx+/frxrW99i2QySTqdxrIsNmzYwA9/+ENfC7K1tTXD0fRCPuV7RS8nNU3Tpc047c3ks60Z9Y63Z4SHDx/mhRdeYMuWLdxzzz3cdNNNDBgwwL+ZeSyOC41U2mLH7j3s3LOXEaOuo1tVFWlHuiKiCH9FilCuYsUnHbqukUwkSCQShELuaJDo5HDOSRdR13VKSkpYt24dJ06cYOTIkf5F6vWc/nCcLi8ROI7Eth2+/vU/ZuvWbXzqU5/iW9/6lt+01XWd7t2781d/9VekUim+9rWvYZomJSUlfhI6d+5cpk2bxmOPPXbG4kBlZSVf/vKX+e53v8vnPvc5CgsLSafTzJ8/n5deeolEIuGHxbrhEhg8g/Imjk3T8GlUmjAwswobHpMj28A7K+p6s10LFixg5syZPtm3X79+fn+vs7DoR0F1FADAMxQpJUo6aEJD03WUlJw6VceiD1agmxGGjxxHbm4JjtQzWyozr1k4oGSGBvXJNjJNKIRKE2tppKSkiGg4hLRsjIC7xuis0tneHdVLuEtKSojFYtTX13fg1F0s4/IQCoWxLIvc3DxKSkpZtWr1h35n+PDhtLS0UFZWxr/927/x3e9+l3fffZdgMEhhYSFr166lsrLyrOMbpmny1a9+lRtvvJGvfvWr7Nu3j379+nHkiLtJPhwOEwqFKCsro6mpkcrKCgKBAK2treTl5WUGJF1CrjtLF6CyspvP8AgGg74iVLYOvMczFELQ3NzM9u3bmTVrFuXl5Tz11FP06tXL98ieFzy/sFyifCnnDL3JO94KNF1Dpi2kgO279vLmvLcZNnYS5ZVVCD0EWsCVbRMKcJDCcvMvlUUZ/4RCKQdDUyTjMTQkyUQC3TBASX/bykd6MI/ZEA6HOywqgPZy8sUcWfEKFTNnzjxjH8sj2lqWRf/+/XnppZewbbuDhoWXj6XTab/x2/k5LMuib9++LF682OcvplIpXz7tM5/5DJ/5zGf81gFATk4O3//+9/3cKxJxuYeBQIAtW7b48uPeAKtnUN7jvVBXKcX27dv5n//5H6SUfPOb32TIkCEdct6Px/vM/n3pfu0tkxOar+VXe6qWNZs3caqxkcm3TMWIhrFROJkZZ//ZlEAoda2qYZ8XBIKW5kaOHKmhurSQaDQCUqJ0w5vaOXsOlp1fFRcXo+u6rxUB7ZXGiwGllE9PMk2TaDR6Rolnz8izZcu8cXlPg8IT3DydcYFbRQyHw75cmidVHYlEfI6iNxsXDAb9Cmo8HvfDaI9Y7JGMg8EgLS0thMNh37jaJwTwX6unYzh37lz279/PvffeS58+fQiFQn6EkB01nFfeq0AoLaPwlPUhMmRV19rYtHUHKzdsYOy0aRR264YWCmLr4KBQWtbfUyJD9O2CoQkSsTZqj52gW3kF0WgEJR28m9hZJQOyCxmmadK9e3cikQitra3EYjE/fLxYVUSvMuit9Emn0x/ZXPXGM7xwzBu/9y7SVCp1xhuCaZp+r8srNgAdvud5Scuy/GPjeRjP2AKBAKFQyH9cfn6+T9T1QmqvIOL1s44cOcIbb7zBsmXLGDt2LPfddx+9evX60OjMx2sud86V3JxMKYVUEgkcOnaKpatWc6Ilxo23z0BFwqhgEBHQsaSdCTFVpjSv8UkPDT3YaQvhSMLhEOWlJTiWhQiY7YfnbPvBsmeYvDK5Fy7G4/FLItvm6eKDq2qVHfJ1ljDLJvPatt1hBZBpmh280ukgpfRDQo8orJQiHA6j67ovn+YZl2f42e0M7xh5w46eQXkezuNFZofVTU1NzJs3j9/+9rcMGzaMv/3bv6WsrMx/zdme6+MPjAr//95wiStro+EAm3fsYtue/VT1H0i/4SMw83JpSrRhQdZ+r85KUVc0jfWSoC3WSnN9A5GAyYDqavJy8xBO+0QYfIQH8+6Y3oWSl5dHc3Mz9fX1HfKCiwkvTPIayqdDNlMiW0MwW0npdLNW2cguRnjwjEzXdT+3ikQifojoGTHgG4R3vLLJyd7wZ25urv/clmURj8f5/e9/z/z587nhhhv8nV1ewxw4LWPmfIyso2G2ryN3HBtNU9Q2NLFoyVLqmluZMGUqsZSN1HSEYSA0zRfV7HhxfPI8mHtTFP5NT9d1UvEEOBZ6Ok2PbhUkknGUlrmNCeGXls76pN5nIQSVlZW0tLRQW1vrf79LF/HsyJZNy26c27bN6tWreeONN+jbty+PP/44EyZM8NsP3k3igqGTURi6BkKwZPkKdu3bT2llD3r2riYUycFxXGa9m69JNNwJZ+++LD959uX3PNsn+hXpVIqm2lqieflUVfUikpPr5qdZx+esHsz77N1Bq6urSaVSnDp1yv+9Ltm2s8PLVbOZL5qmsXbtWr7//e9TWlrKHXfcwejRo/2wMpuLeOHhejBp28TaEixfvpKU5TB89DgikTxQOkiBLgyEdEcxOipFfXL7X9lFPSEg3hbj5PGj5EXDhEMmqIzQEJlmyEctQfdCQC9M6dGjB/F4nIMHD3YZ1jnCI/d6pflkMsnu3bt59dVXWb16NXfccQeTJk0iJyenw2MuGA1Ndf7ISLFJya49e9i7Zx/hcJRhI0eC0LHTNkIJDGGABC1TlncLHK7OxidCa+MM8EJFx1G0NjfT2thMWUkJmgLlOGjnSvbtvBZHCEFJSQmBQIBTp075hY4uXcRzgxfuHT58mGeffZZt27bxD//wD9x4442+3j9cgqUaGUOLJxLMnDWLmG1x3fWTyC0owtANDGWgKx3lKJCKoBnI1A2Vp7xxlh5Yx91iggvh785VKVh1+veFEWMS2c8l2je+Ssemsa6OttYWulVWYmaiD08PWeFG5WcVvYGOoWJlZSXRaJSmpibq6uo6JO1XOy7W2I3XBJdS0tjYyJtvvsmSJUu49dZbeeCBBzoYl/c6PmoLyvkgLSWGriGkQliO258xBTsPHOTtpSsYMm4yPQePIC2CBKSJLjUsTcMWIDVwFAhsMtIurpKvMJFZRZP2hQ+ujq8m3e2WmsrULEXmsQLcBXeeJwR/H1mma+T17JSXyiiR+Rv4XtTf3oLt/93M0TvD1+du5gp3BZOmbDTloKGQQkM3DJRukEikiJga8eZaWmoPkWPCsEEDEZqOMDJKYri7qdXZlsCfrizsUYW8dUZdBY6zwwuvbdumqanJn+3q27cvDz74IEVFRf7veqHkx60WngmarpGSyp3hMk2UAEcq3lu6jATQo3ogFVW90QJR93eERAqwNeF+oDKG4RY6skv9ILOMR2boVG4n2/N4nqFpiIzB0d6o9u8f7QbgeQxXert9IaDwN29mDNLfX5ZtoPIMX59vLisyi5wkAgeBJBZPkrLc3mUwoJForSfWcIqCnBDDhg4mEAhlJMR1PM8nUOfWaPZOdjAYZPDgwZimyd69ewHOsqmjC57BGIbBokWLmDVrFv369ePLX/6yr+d4MSaTP/w6XIEWpMJK25w4Vc+8dxYwdtwEho8Y7jaclUPaVLQFHBIBG8uU2LrE0R2kAEdo7jyYEuiOQpcSXUk0pdydLCqjDJyJjVwvlfn7yl3DqimBId15Ml2CIcFw3K81JdzP0kFXDjo2Ot6/P/y1phwuTBjY+WCdLrwURKLBjGakg3JsGutOUV9XS040h+rq6gyz58Ntq/NKoIQQ9O7dm1AoxN69e89b+/yTBi883LBhA2+//TapVIpnnnnGL8d7tCmvLH+xIIQrX60UtCRSvDj7FdIShowaRXF5GZphkLYsLF1hGwqFRAkrs7wBpHANRAoNTWroSoBIg1IZ/yAywWEnlWVckrBrYFpnqnHW72lIhd8OcLmOKqN7nyE8iKyvMz+V4qKYWOejhwTslINjO4QDBgFN0dbYSKItRkHPCv/ceQT5bJs4Lw/m5WE5OTkcPXqUlpaWK0KK+kqFUoq9e/fyi1/8giNHjjBjxgwmTJjgVxS9Su3FvEkJwLJSOChsBftrDvPTX/6GvgOHMGjYSDQzTCKRIhgIYGpgKJuAShFyUgRlCkM6rnGiI9HdcFG4nsRQFoa0MZREV6rDRsvswqUj3JzOEa7Becx8799eQUAKLz/LLFT3F45738t8nfGOF8+4PjziIx1FwNTJCRlY8RgH9uwi1tTkjxJ5xPc/SFVKCEFZWRmFhYXs37+fkydPEgwGiUajF+2tXk3orLfR3NzMb3/7W44ePcq0adO45557KCws9Bn1HoUqe4vlxYCSEmEKTtY3snr9ZupP1DP0unFowQhp2yEnLweZtjFsi2hAusm9klhSI4UirRnYaGiae4fWlI0p0wQ0hdJ1HAQpmZH9Vh2lNx1N4WQUgF3vlPF5mUKGVBpC05BCz9Q5dJD4ui+uJINC1wSW435207NM89tL55TKSJj/wUcr6/9kDZsqpCVJK5tEYwOt9acIB3T69esH4E9v6Oc6cHmmsZBoNEpVVRVbt25l48aN9OzZ80MX2Sd140p2aT0Wi/Gzn/2MlStXcsstt/Dwww9TUVHhL9DLPhlnYvhfCCjlEAoGsR3FqfpG5ryzgNHTptNn4FBsYaBpOgpFKGCzdukGNi+aj1AWhiaYfs/99Bo2mkYFTbZCNx1sO42uW4RNSbyxkVdf/B3NKYcb7/g0vQcMdDdkCi3jmTKhXVCRthwMAY6dRBdgaGDoBrpIkSKEY9uYAR0rYWFoRoby7/iL2ZMpi3A4iG27g7iaLpC247L7M6FZMGiQSNh/cEQgPIV5v2CpYZo6ulDoyqKlvpa2hjqqe/Vi6JCh/sTH6bbZfKwmVs+ePYlEIrz99ttMnz6dSCTSwagunF791QUvr0qn08ycOZOf/vSn3HnnnTz66KN0797d19u4lMfGOxeNTU2sWL2Wfftq+Mr/+Vv0cJRoQSG2rYjmwv23fQZ14iTRSAA93YxMxHjxl7/kh799mUE33IIT1GiO2+TkBDHSKUjF2bVmKS+9PJvUqSZKK/sxeNgw2lLu33Uyl4MSilgsjm7oKOWQGzbAtkgnEpihEM2tCYyQK9PtpCWRkIOdThMIBWlpcScQggGdivIQJ44niEYjJJNpQCcQ0LFtiaZBfX0DwWCFP1X+Bxyx9s8qO690e18B02D39m3Yba30HTmEym6VHRSbO4f85+VqvDysqqqKiooK1q9fT1NTU4dlfZ9EwwL8kRTLsli5ciUvv/wy48aN49FHH6WysrKDLselXPuklINUDvsPHGTV2rX06D+QquoB6MEc0rbCchxibTZPfu5J/uP53zLr7Xm8u2QR//E/P6SkWxl/+xff4dTJepIJSUBX6I5NQKYxZIr//q//4Iuffwp0jaBpIu10Fm+/HVFTI8fQCCMRbW2E7BRFAR0t3kpZJExpOIxIJJCxFlRbklwhsBqbiMgEPQtMAlaC5mONFIcEWryZPN1CS7UQb0tgmop02qKsrBQp1R9ML3N7bcqXzVJCgHJ35eE4yFSSPdu3EwmY9O1VhZaVf51OzuG8DUwIQUVFBYMGDUIpxaFDhy4SZ+7qgqfXsXbtWn7xi19QUFDAt771LX8q2duvfLG1JDtDF4J0OsmOnTvZsHkT46+fSE5BEXowRCJtEQgFSCYd7rn/PnJ7VNIaMjjU0sCA0UMZPWEUqVgT9Y0nSaclhjIIKIcCU+ObX/0jKisqeOqzT6AHg5gAjhcQZfW1FASVRg7QcvwY3fKjDC7NpdDU6ZGbi4i1kG6op3t+mP7lEXrkmURUgoHdCuhXEiZPVxQHFTkqQb5u0b0gQGWOYlSvHMqKI4TDQQIBk3g8ieOkMc0/lFmU2cnZoUcHynEHTU8eO079saP061nFkMED/RnEM6VF52Vg3li9aZr07t2byspKNm/efNpJ40/acvRUKsWuXbt48803OXbsGHfccQfDhw/3J6E9Jahsb/8H4SPZQO4v2I7D3n37Wbl6NYXFZQy7bjSOclvGwXCIRDKNpmu0tNaTUA7H25po0yEdMGhsbcWIhAjl5BCJGAhHYjgW65cvZe+2bTzy2KOkUilUKo6jJEYmNPKEdtzSukRzYoRkigJT8Zdf/wb9e/bj+oGDmTpxEus/+IBcQ+K0tvH1xz7PM/ffx7K33uDWGyYwflB/rh/ch//+v9+lLCL4+Q/+mesH9uX6wQO4bvholr71LrUnGkEJItEwjhSubr7ofIDO54aWaWlkKpYSN1I0AzoGcHD/HuKtLQyo7kv/6uoOCypPlxqdl4F5+uqWZdGtWzduuukmVqxYQTwe98ffPZHQa9nAPOpTKpXyBy/j8TgvvPAC7777LlOnTuWOO+7wBzC9hXueJ/uDPVj2tZP1bwXYjkXaSmHZaVpam0DoLF+9kTVbdjD+llvI69adpFDYSBIJi2g4hG3pBIOF5EuN0rSObLSRScGOHUcx9Sjl3boj7QThYAolm/n1b37OtIc/w7jp96LCOYCDGVRILY0RBkeXKOFgGgJNpnGsBCRb+Oz0aWzetp6fzn2T9Yd287Xv/B++94Mfsrf+BKEcMOxmdm/bxD/+zT/zt//072zZvYvrho3mtd++yJRR17Nqy37eWbOTuQvfQ7Q28rsf/5DuuQon1YbUNPRIkLQQSOFWGDW35OIzSM4FutIwVQD0EHYgRNo0sIRDSLcx0q3sXLUUE0l5WSU50Tw0ofnn+HTRyXkZmHdxBAIBioqKqK6upq6ujk2bNvlNZ88Ir+VKopdHeTvFTpw4wW9+8xu2bNnCfffdxxe+8AWKi4sv3U0mc05tx0YpME0DTROEw2G27tzNxm27KazoRv9hI1EBExvh7viSEiUFeobOFRaQq+n0rCjnL779d7S0pfn3mS8j7SS5QZ2wJpgzexZNx47xuS98CUczaWxtBQHxeAwh0rTGYjgyjVQ2ViqNpkE0N8Kbr72GMoM887WvUjVoINuPtfHQZx/hL//5/1HUvZK4nQRdUVpRwQ9+8UuGjb2Bw/UOP3/2p4SCAar69+eH//sT7GCASHF3nv7jr3Ny/y4ajp0kEjCxLEksYSM0nfbw1M2fznv6WrmbcR3pFmuErlB2kqaTx9i7YwvVvXvTq1cVQjdO6xyzjey8czBPojo3N5fhw4cTDAbZvn07zc3Nfo5x4VbLXpnw2BexWIx0Os2cOXN46623KCwsZMaMGfTo0ePiNpBFpw/v2yLTB1Ia0lFIR/He+0s4eqqOoaPGUNGjCqkEZiCIrgmCRgDhJLBTcYKmTnOsiVBBiH/47l+x5P13+fK3vkFZcTHCUqSb2zh18DDP/vMPmHrzDCK6jpNsIy8cAhxUKkm8tY1ErI2gYaILjfy8IHZakrYFJ0/UY8fS3HDTdI4cqyUczePEqTTDrxuLJU2k1BASwrk5VA0cQGMyQUMigQwFKevTm76jhmPpAVosh1bHYuyk60m1tVGQG0BXitywhpnpobXrhmiA3mln9EdDgT9cKaTC0ADH5nDNAY4dOcKE8eMY0K+ac2m6fWw34zgORUVFDBs2zN8mealL0JcLXtXIMAzeeust5s6dS/fu3XnyyScZN26c3wu8WDcZj5meTWsFV21XF5rL+8Og5uBRlq5Yix4pYNS4iSg9iBKGq9+YkORGdRKxFD275dBcf5IePcv4xS/+l4UL5vPg4w/z8KMPIdMpgkIS1k3efe1V0tKkf/c+rF6yjI0fLGTF4kU4lkXt8aPsXbOEolxBsi0JUtDcaGGaQQwzTDrloDQDRwnKyyqx0ilaW9rIz4uiGyaW0nEwkAosHZJICsqLOFrbCLpOQzxOtChKm+0gAwbpzOSwcBSaUtgpiS4VBiLD5tcz7BPP2M7vuhQohHIQ0kbYFgaKHVu3EAkF6VXVk/zCgnN6nvMuuQSDQV91KScnhwkTJvDOO+9QU1PjS419fHGWqwOeB9uyZQs/+9nP6NmzJw8//DATJ05E0zRisViHAcoLDZdo1H7ZaJ6ZZfo/tuOQTtu8/c5C6lvijB47lMqqfqSUhm4GSSSSRKJBArogHDCoOXCUisIcfvHj/+I3//NfPPXUk3z7O39GbUuCgG4gzDCNDU0kk6AHwnz3e/8CugapeIZRAbN+81ten7eQ/3yuD3mVQ7FSFkEziC4kVipJKCcHlMPJI0coDYcpiObTEmvCSVnomiI/JxcRCKDpJhKDtC1pbE5QmVeAtBVmIERzWxpNM7EdB8M0QRNYaUkg36A17WAapivprTTc24/u06rOx5MIzbtZKXBslJ2kpa6WnVs2MXnCBCrKy9AMzR9NORvO24NlSziHQiEGDx5MWVkZmzdv5uDBgx223F/t6Dz86H22LIsjR47w/PPP09TUxN1338348eN9RoY3J5dKpS7K68oe0mj/jvJfo21Ljp+o5YOlKyip6EH18JFooQgWOlK5ObSddog1J5G2TUVZKUvff5ff/c//8qmpt/LlZ75EoiVGEIEpJEJzMHJy+KO/+lMWbtrA6v07Wb97O+v27mNbTQ2aZvIPP/x3lq1bTbeeQwiHI5hmFNPM7FQTiiGDqjFCAea9MpPSPBOZaKQg5PDLf/t32hpOYCfjkEoilEYqnqakMA9TM9E1DceSSFsRNA0CwRCGZmKnMpIyGiQSKXShoQuBY8kOnMiPM+3p+gYHIR0MIVHJBPt3bife3MSMabfSo0c396ifw4608/JgXhkye4q5vLycsWPHsmDBAsaMGcOgQYOumUlnL9TL/pxIJDh58iS/+tWv2Lt3L8888wzDhg2jsLAQ6CgUdDEpUB7agx9XZ0MzA6TtNG8vWMTJ+ibGjptCcXk3LCnQdBPbUWi6gbTSKOkQCQVpbW3i337wHyQbW9mzt4avfP7LBEImyXgSzCAjp9/Jp595mmYlsNJtNKYtcqRGUEmklQRN4/jJOmrrY0g9iuXgehfHwRAC5djcMGkSjz/yIG+89SY7N60hEsqnsdFCDxjM+Ow9BA3DDeckRMNhak+0UpKfg6ml0YSJkBqaFKg0WMJG0wxQoJsCaZgkUzZCKgJm0K1QCG/6up18fC62pjJzZ1pmai0g4MSpkyx7byHFuVFGDB1MaWZXXiAY+MjnO2+yb+d/RyIR7r77bt5++20OHz5Mc3MzkUjkmjCw7KUN4B78+vp6FixYwOzZs3n88cd54IEHyMnJuaT0MC99b5cAVb7OvAIaW1uZv3AhOUVl9K4eQDQ3B8u2EcJA1zWkBNPQUbaOYWrUnWxm8NAhUNUPI5VGKBslJZGCfCyloefm4AQMTtW1EA4b6I47V5ZnGLTF4oydcgs9+laTUxCkrU3zp509v6qHIuh2is998cv0GDGId95fiNacZPLU8Xz+G99EyxO0tsUZMnQYzZZCSkE4EsFxHFrabIYNG05+VT8sW2AYoBMgmpPPuJtvoSGlk5NnEg6YxJM2jqPc0E7hcxklGvo5psMKcByFYQJoWPEEtUcPsXzhu3z6jhmUFhdgGDpt8QTBUPAjn0+o88zEs4VwvK9PnjzJn/3Zn1FaWsrjjz/O6NGjL7pm/aVCMpn0BU1bW1uZP38+zz77LIMHD+bb3/42FRUVfif/Ur1fLzzUIMNO974jaI1bfLBqLd/9p3/ltjvuYez02zEKy5BKA2HgZQWOnULDIRSAaEjQ2tJIUU4RugQ7GSMnJ0JTWwwiubRKnZMtCcI5UZKJVsKGIKSCqLRFcW4A20qhmyEa4mlsM4IjdAQKHRtN2eimIJpME4y3kQ4pRE6YAAH0NJxojeNEdAwrSa+cPJqTSZJmHi1pDZVO0afARKZaaEpBLJBP3FGURBV6vIFQKEhzQiLNHJraJIWFYawEGDho2EgBlqbjShGcmwcTCJQlEbokHFA0HK9hyZzXePXnP+fXP/kR02+9BdPQSVhJQpHwmRVCPDs535Pbef2OEIK8vDxuuukmtm3bxsaNG7Ft+5op03sjJYlEgiVLlvDrX/+a3NxcHn74YXr27HlZpgd879WJzWGlUjQ0NfLK668Tzs2l94AB5OTnYzmWO9XsrbAFDDOAGQwSiydpaImjh6McicWp0wwOxZOcTKaIC4PWlENbwiJgBMkJaoTRyTEj2JoJoRwaUpKYLWhoSyKNAI7QcPwKpys30JyGNgK0CRM7mEOL1KlLOLSpIKHiIhJ6mFBJKYfqW0jrOrWxNvQcHRXUONXcTEro2IaBbWiISICGeIqUptGcslFmmJQyyCmKUNeYQujClRPIfAjhuJ/P4/i6aZCOUpJDB/axfcsmBlT3Y/CAgS5bRYNQOITjfLSy2scyMA8e7ScQCHD33XdTVlbGunXr2Llz5zXhvQB/DOG9997j5z//OVJKvv71rzNq1KgOAqGXlCFPJ6aUJ3qkGezes4935r3N2ImTqezdB3Q3V3EciZZRnZVSYduSVNomFI4ihYHERETCnEq0kVtZSl0iRVozSNkKTTMwhUa6TWJgoNmu/0wDNgaOMJC6CbrRLunmHw5BMBokjoGK5hCzNWIpUIEcGpOSlqRCmCYnGy30vCISUhAtzKE1ocAMktJ1Yo5CBYOkJeimO7iph6KIQIhYMo1mQirlEA4HQKhOx8fTDlEdtFczUzCn+XBl2WQ6Re2xo+zbuZNkrJWnP/8kxcUFPgvrXM/3eSdK2c1TLzfRNI2SkhImT57M3Llzef/99xk2bBixWIxIJOL/7pVcuveWMxiG4U8cK6Voa2ujpqaG+fPnI4Tg4YcfZvLkyT5z+nK8Jxvpbj2x04R0A2nZ6HqIw4ePMf+dJYRLejJg+ARUqIC4raHpAZQQpB0HNIFSIiPUYWBLidDDJC0FQiOqmSRikkCwEFuC0tx039DcEWJdN0lltiDpgBB6JucCHDCE+0N37NJlVYgEmJpGUpkgdEICHFuhBQxXBsACzQiSlgpEBJkSRIVASIVmRrEUOLYgLAQyoTD1MMmUKyoTCmooWxDAHc5EyszwpssjzLwct9ghpGscuMakZ1Sq3Iqj5xAUuiYJGIJDRw5xYMtGuhfn89ij9xMydMBGaTpKCXTto83ngrgZ7w4+ZcoUSkpKWLp0KTU1NUSjUX+F0JlWD10pyF624DWJ0+k0R44c4cUXX6S2tpYbb7yRBx544LIZlgeBwnbS+PdoJUhZNnv3HWLdhq1MvmkaxeXdCOfnITXTH8V3kVFkEp4MtoZER2EglJYRGtUBA4WXs2XtmhYaUmhZOonQHrSCphSakr5YqVAaupQIX52qXZqNDBlYlzIz4exmbq5AjvscMuMhQUdTCkNKNOUyNLzXJxTu7yM7vM721+W+ts6L2z2Plu3ZNKEIGdBSX8uuLZupO3GMYYMHYWgaQhMorV149VwojhfMwBzHYcCAAVx33XX+6lVviYE3Hn8lw5O29hbmOY5DIpHg5ZdfZtmyZQwePJjbb7+dvLy8y/5eNASGAkO4HELDDHDg4CEWLV2KEQox4+670UNBWtoSCP3KPu6XAuI093WVyRMd/7PEEYp0Okm8tYXGulqOHK6hW0U5N0+9CV03EMK9sYqzPG9nXJCj74VUQgimTp3KqFGjWLhwIadOnfIvWLiyR1i8gblkMolpmrS2tvLGG2/w5ptvcv311/PUU08xYMAAXzI8u9Bzqd+XUIqgbqILHV2YWLZi4+btLF29ij6DBpJfWkI4P5e2dArnHJqhnwT43k20C+w4QnMpZ5rMfDiYAYGTirF6xRJ279zOqBEjGDlihHuj8vdSn3v0ckEMzKsmWpbFoEGDGDhwILFYjFdffZXW1lZCoZA/ynKlwnsP3mtcvXo1zz77LEOHDuXpp5+md+/eJJNJLMu67O9DORJURg5N16k5fJTVGzfSFE8y7oYbCURzaGhtIbe4oMuDZeDr62fyLW/OS/ofDkrYoGz2bN/MpnWr6NmtnFtuupHcnJx2sdTzPPUX5Oh7EmReSbtPnz4MHTqUl19+mUOHDl2Wu/z5wptn80RC/+M//oPKyko+97nPUV5ejmVZRKNRn9B8OY1M0zSkZWdet2T1hk3sOljDqPHXU9q9JyklMcNhhLBJdwnDQmYuzINrZwJ0gaMkQqiMoKhFItbAyiWLEFaCu2bcyqhRwzN9/Ex1sl0J55xwQQzMy128vcgDBgxg5MiR7Nmzh+XLl5NKpRBC0NLScrmPtHuAM5PZXn6YPUi6ZcsWZs6cyd69e3nggQcYPnw4ubm5WWtrOrJZLo+xCYQD0lGcrK1n9QbXew0aMZJQbj5Jy0EJQSotMPSrn1FzYeBKYWe3DyxLEjB0dE1gojBx2L9jKzV7tjN8cH9umDieSCiIlJl+18dYPHjBQsTs8YyioiLGjx/PM888w7x586ipqSGdTl9Uhvm5IlvsM/tDSsnhw4d555132LdvH3/5l3/JtGnTfB1DryVxucNDFwotGEQCG7ZsZffBGnr06cfg60aTBnc7pdAwMu+rC9DR62iuvLftoCmQqRRBTSDjMRa/M59Ecz0TrhtB/369CRo6eibMVqLdxs71KrggBuYRYb0P27YpLy/noYcewjRN3nnnHU6cOHFFMOyzc61UKuV7sgMHDvDOO++wfPlybr31Vh5//HECgYDPiPdEQS93BdF7DwhFc2srb8yfR1oqBg4bTl5hMQ6aO8ohcftIV3ZkftkggGg4gJ1MExI6KpFgy+rV1OzeyV0zbuX6sdcRMt3WAN5Nys/hstfxnh0XrEzveTGPt1dQUEA0GuWmm27i2WefZevWrVfE0j7vtXpFF0/tadmyZXzwwQf+jUFKSW5urr/EHK4cvUehuze0Tdu2smf/AbpV9aLPgAGkHInQdBwbdE3HTlkfWgj3yYVC+muW3GOiIzDQCGoah/fu47258yjLz+dTM26jX6+eGGQGL/1jeJlCRGhneGQLMHbv3p0bbriBaDTKkiVLOHjw4GUvdnhNYk+quqmpiQULFrBw4UIikQhPP/00PXv2JBQKfaiy6M3CXTSck1KUGyUkLYtlq1YTzMmjZ99+VFb1xhauqm48mcI0TJRtf0KXvZ4OIrPMol1OzkrbBHSoP3GMrevWcGjvLm6+YTKDBvQnHAoDEse20TX9Yy9+v6AZcLYctLcXa8CAATz++OO8+OKLVFZWUlFRQTAYJBgMYts2wWDQf+yFRmdBfu+zpwqllGL37t38v//3/6ioqOCb3/wm1113nc888d5H9vu7aGM47na7TPTRzhSQnjq6AIUknU6B0Nh/7BjzF3/A0PE30Gf4SJodQDNQmo4eAMeSBM2Aq+P+ibcygaaZKAR22kIPgCYkpiaRiRb2bF/Hgnmv0L0oj8cffICyskqEcD2cHhBnfM5zwUVNKBzHITc3lzvvvJPJkyezcuVKFi1aRCAQcBeZZYzrYnm10xmtp34lhGDnzp385Cc/IT8/n89//vOMGTPGL9ZclrVM/sv1NpC0V2iVlAgEQTNAbX0jL8x8mUA4ytARIykoKSUUCfubRzo9WRcQrhakgmAoiK6BkDbSTnGkZj+bN6whbGr81Xf+lO6VZZmeV0eK2MfFRTOw7O2OVVVV3HHHHViWxdKlS9m3b58vNQ0Xr3DQuYTuSRkopTh48CAvvvgi8Xicz372s4wbN45oNOr//JLnW6I9h872OIaeIcQKHemA48D+g4eYOXM2A4cMpUevPgQCIWynq5pxNjiOe+4d28ZKJTE0SLY2sXHtanZv28LkCeMYO3oEkUjogp73i2ZgngKwZ2gTJkxg2rRpbN26ldmzZ5NMJjvQjS4GTmdghmFw8uRJXnnlFebPn8+UKVOYMWMGZWVlKKV80Z6LpadxJijA0YTPLFCZuQglJdJxvZdAo762iVWr1hGLpxg2agxmMAyajuN0qhieC1HuEwSh6RiGgaEJckIBTOWwdd0alrz7FrkBg69/+QtEg2bHpecXABfNwLxqnZezhEIh7rzzTkaOHMmqVauYM2cOyWTykhU9vL9TX1/Pm2++yYIFC7jtttuYMWMG+fn5fsPZo0J5zPpLBU8pSvocdZX5SiAdNx90HNi1Zx+Ll67ihtvuoqSyB8IMgtA9pRY6bOdSFybMuRbgBUkGioCAnRvX8cE788kN6jzxyINU9+5FTiTAhV7rd9EMzBtEzB7t6NOnDw888ADdu3fn+eefZ+vWrX4fyhsPydb5vhBQSvlMkra2NlatWsXixYvp378/X/ziF+nbt69fUfRyw9MtUrsU8NSi2r/KCLcoRSKRprauno2btnPw6EmmTL+dYLQQoQddDfXOuwEu+au/spFKxtGVjeakaTh6hBWLFtB04ggzbprC3bdPRyg7U2C6sI35S9Y19S7ckSNHcsMNN6CUYubMmTQ2Nvo9qUDAVenxDOIPRV1dHeAWCpqamli3bh2vvfYakUiERx99lF69evlFBO/veQWQS7GcvDM6CPYq/M3HuqGTtCwOHjnMvHcXUN6jNxU9+6GHo0jddEWUaPdgwrtJia4KIrhM+vzcEKayaKk7yeJ35rBr0zpuHDeaO6ffQkVpCZquIQx3IPRC4pLTEkzTZMqUKTz44INs3ryZl156iebmZp8fCFwwVdzi4mISiQSapvlFjQMHDnDbbbcxfvx4n7h7uXtzHny1KOUZicK2UiAEaSnZsmsv2/YeYOqMO8gpKgY9CJqBJdsLRSJrt9WFqoRd7RBKQjqBSsc4uHsrC+a8TnEkxEP33MWIQYMwtMy2TLRz0jo8H1wWAysrK2PKlCmMHDmSF154gVWrVvn5mJQS0zR9Y/tDYRgGtbW1/PKXv2TVqlXcfvvtTJs2zW8RXEnQlPvhL4FToKS7LLzmyFHmL1xEj759GTBsBNIIYKNhZSaBNUPLzMdfGTeLKwlCSeItDQSRzPrNr2itPcY3/+gZJo0djakplOOg6QZpy3HVty7gTemSU61t2/b3iz311FMcOnSI5557Dl3XmTp1qp/7XIiGrm3bnDp1ip///OccPXqUr3zlK9x///3k5eX54Z+U8vL0vDrB77x0WmtlBIO0tMVZvnIFBw8f5s77HyKUm0/KAjQdW0oM07gAy7+vXQgk9SeP8ptZM7GSbfzf7/0d148dQ8A0UTZugUgzAKddtOcC4ZJ7MG+1USqVYtiwYXzta19j586dzJo1i61btwIXbkpYKcXPfvYznn/+eQYPHsydd95JUVGRX4b3xlSuBI6kL4ctOn4z3hpj34GDfLB8FdFQhGFjxxPIzcWWCt00UUqi6wLpOJ+4yryupO/xvXxTZbU4NCXRlY1KtbF19QoWvvQ893/qNiZdP47yshIc20ILmEhbYlk2um4iL3DSeskNzGv2BgIBDMNg8ODB/M3f/A1NTU387ne/Y9++faTTaX/XmLfgzvs4E7yFeF4lsr6+nrlz57Jhwwbuv/9+Hn74YSoqKny6UygU8hnyV4IKsQJsARYSR0jISKyhB5n71kJONbYyetrt5JZ3J+WApgts28HUAzhphZCemIzwDU0KmRkTvPagKYkhJaZ096coNGyhkXQsdB1MzSFiSFqOH+btmS+wZv4cbpkymVsnXU/vbt2QUmEEQiA09ECIQCCADgQu8AT4JTewbAVcpRSlpaXceeed3H///Rw/fpxnn32Wffv2+Q1qz7DOppzrebtUKoVpmiQSCTZu3Mh///d/U1xczGOPPcaQIUNIJpNXRDh4JiilEKpdyFQqwaHDR1m5Zi05+QWMHj+BYDSCc40azflBQ3l7ZVT76vVwIEAooCHTaQ7v2cPOjetZseg9KkuL+NM//jqjhg8nmBlDkiqj6XYR60CX/NbtlcUBn/MXjUYZP348Bw8eZP369bz++utEo1EqKys7eJez0Zc8AdTm5mZOnTrFyy+/TEtLC08++SQjRozwe11XyshJZ2hAQLhsDeVIpG1hK42Zr75KLJlm2OghdO/Ti7qmVsxQ9BNfy3CZLxpKueuJhHK3gemOgxVLElI2R/Zu593XXkbYSZ547HNMmTLFF2fyGDsXG5fcwDzP5IVn3tf9+vXj8ccfxzRNVq5cSTAY5OmnnyY/P98f4jxTKOcpVwWDQXbv3s0LL7zAnj17+Pa3v83IkSN9VsYVvSBQeVQnNzRUeoCamkPMffdd+gwfzZBR14FpEk+3UZibh5P+ZFuY1EAqDaVlBG2Q6NKGdJKW+uOsXfoBm1ctpygS4M77HuGuOz+FGQggMykHXJrp9MsynttZhNRr9Pbs2ZO77rqLoUOH8txzz/HGG2/Q3NzsN6nPVvgIBoMcPHiQefPmsWTJEu69914efPBBcnJyfAP7qDzucsJtLEuQ7p7lRDrN7DfnIAIh+gwcRPXgoTTG4oRy87CugMnwKwG25vI2EW4xw1QWAZnm8M7trF70Lo3HDnHX9Jv5o6efxDR07Cwa3KWaTL/kHsxviGbNaHleTNM0Bg8ezD333ENzczMvvfQSoVCIqVOnUlpa6huY95hEIoFhGAQCAdra2njjjTdYunQpo0aN4oEHHujg8S4HM+O8IACpcCwbW2jUN7Xw1jsL6N6vP30HDsESOpppoAkTy5YEr+C3ctEOkS8yBGgQT6QJ6BqhgCDdEgdlsWXVMua8/CLp1ga++ZUv8ul778HUBXrWCqpLeR1ccgM73Zvz3rQ3qzVy5EgikQg//elP+dd//VfS6TR33nmnv3fMY+oHAgF0XefUqVO88sorLFy4kN69e/Otb32L8vLy0+4zu3LhNol1Q6c1nmLFunU0J1OMGziEwopKLAeUoSHQMXThr4v9JCD73HkRiJJQmCtIxh0SLXGCTor1y5fwwi9/SkHY5Dt/8nUeuu8eUsk2pLTR6ShadKmuh8tfn6bdq3nzY7quM3ToUL74xS/S0NDAj370I1pbW7n33nvJyckhNzfXJ/Hqus6KFSv4/e9/z8iRI/nMZz5DVVXVFRsKng3SthBmkFMN9Tw/cyblvfowcNQoInkFtNneRjBXOvuTWOXw+qNuJCNJtlhEAwZGQGPJ2+/x/M/+l4BM8Wd/8V1unDgeKdNEImGcy9iFv/wSSRl41UXTNP1mdP/+/fnmN7/JxIkTmTVrFs899xx1dXVYluUThLdv386bb75J7969mTZtGkOHDiUej18x/MJzhgB0QTKdYsPmzaxev4HhY8ZQWFKGjYaUAg0dmXZQ9lX23i7UIcpMZ+i6jqnp5AZ1Go8fZdG8OSyY8zo9Sgv5x+/+NbffejMlJYUYpklbOsnlzFivCA/mHbxsZrunRThu3Dg0TSMnJ4eVK1diWRYPPPAAQ4YMYceOHfz3f/83dXV1PP3000yZMsXPz67kftcZj4GmUVt/nIUfvE+/QQPoP3AgZiiElKAJHU0IlKMQhtta/STC92DKpv7USVa8/x6L35pDaU6QZ77wNHfcOo2caATLSoGmYQbDpC2LgH55aM+XxcC8nCu7QdyhhN7p2hk2bBjhcBjTNNm5cycvvviirxy8f/9+nn76aSZMmEA4HCYQCBAKhfwQUWYltZ0DK+/ri3rgM2t6vH+6f0+g3JXfoFyhG+VIkskUu/cdYvOOPUy9534KKnuiBXJwlI6mdHcPswa6fnWlYArNXVWkvCPQHr57q12lV7nAoX3ztNuy0AQoqdCUg3QshJSkW5tZNv911i9fQnl+mNtvuYkH7v4U4XCAVCpBIGAiMxSqoPnRy8ovFi5LH8xbZxSLxaitrWXN6tX+PFNRcTFGpnCRn59PMBhkwIABVPWs4pGHHmb2q6+wcuVKNm7cSFNTEzfccAMTJ06kuLgY0zR9qpRhGG4zUilfG1ApiRBZKlFk7Tq+KG8WUI7/T0e0G7SUFgHNAOmAcHdc7dt7iDfmv4uIFjB47A1okWKS0kQoAyHAkdLd8IjTvozgCodCZPZ+gRAKgYPA8bXiXdqghoYOSiI0haOcDEtDoGkGmi7QcDCFIplo48iB3Wxdu5oNC+ZQWVzAY49+mnvvuYuA6UYtoVAE16zFZQ/RLvnf90bybdumtbWVTZs28f3v/4ATx48Ti8WYOnUq/fv3591336WhsYE+vfvwta99jVtvvZV+1dV85onPUFhYyH/+53+STCYpLy9H0zSSySRSSoLBII7j0NbWRm5eHkYWLQs+nHRenstUZRmIe5d20habt25n0eKlTLn/0xSUlqKMILatdXKzF93nXhRonV629AdEBQgt4+Vcb+VIt6JqGAYCRaI1hqFsUuk4YSGZ//pstq1ZyYRB/fijL3yem266yZfoa8eVcYz0v//7v//7S/kHs3U6cnNzKSgo4NChGo4fO04qleLhhx/mT//0T5k+fTpFhUXMnTuXNWvWUFBQQN8+fSgvL6ewsJBgMEhDQwOLFi1ixYoVHD16lEAggFKKYDBIOBxG1zSUlCgp0YRAy9BCvSVq57/t6Twh8ENA8GUzgMwEtcoUdxDs23+Q1+e9w6G6eu56+DFyistISx2R2fjoR8/CCzKvjAvoXA6BUN7xzhoGdbeyo7xNlcJdN5vOCH0qBYYGpgaGtBFWnG3rV/G/P/xXWutP8KlpU/nKF55myKBBhMNhn6/q9VSvFFw2LqK3E9kNAQeyft166urqcByHUCjEwIEDOXz4MKZpkkql2LZtGzfeeCM5ebn07t2b73znOwwcOJB/+7d/Y/v27f7Iy1133cUXv/hFKisrkbaTkb5uL3goRyJOVwC5WNfraZ5XZYYppVLohkkynmTdpi3s2l/DxBtvprx7T2wp3N1esl1C4KqdRxHZLROB8sbyveHGrLDdCATRBTjJJJqCAJBMxZj/2kzmzHqJ1lPH+P6//AP33vkpygqLELQXxK4kw/Lfz6X+g6Zp+kbkLe3zFtt5CASDSCn9O5OnE5/dL0un00yZMoVevXrxv//7v6xduxYpJe+//z6rV6/muuuu496772PQoEEUlxT5m+GFdimrixnRmk7bjKVy1TYkbgp24PARlq5eh2NGGDp6HHooTDozSaChtxsY7s7jq0lnw33t3nHIzGop4RY1hLvlJDO+5X52HIQmCBsapBNs27GZFYveYcvq5QzsUc43/vGvGTdqOCV5URzbJhAI+kWzVCpFKBS63G+5Ay4LkyO7hK6UwjRNf5QkGo2SiMcxDIMNGzZgmiZtbW2MGTOGsrIyn/IUCrkzPOFwmO9+97u88sorzJkzh4MHD1JYWMi2bdtYt2Y9I0aM4oEH7mfgwEFEo1HfsN1SvnBvnpn8IJtG48X0f9hdMTONJaS7yT6zXVEXgkQqTSAYIJW22LR9B/uPHKO4R396DRhCyhEoPVMGUB6Z1X1dmsquwV0FUKArV6lYZvThERqa5o6ZKMdxq6NKEDA1NDQMTVJ38jgrF7/H8kXv0Hj8EDNumsjnHn+YkYMHEImEULaNFggAooM04JWGy11kAdzR/tzcXE6dOsU777xDS0sLra2tbN++nX79+jFlyhSGDx9OJBLp8DhPiaqiooJ77rmHgoICFi1axKZNm2hoaCA/r5i9+/bxw//4T3r26MH111/P2LFj6NGzO6FgEEdKHEthmDqaEj4hGLhwfbQzeBtN10mkbFraYixeuoyEVEwaNQ49nINE4iiB0DSETXv+4pbiMs9wtYSLmWph5ibmL/6RClNTCAOwbLcYlUqiY3Po4F42rF7JqgVvkZMT5vEvfJapk8YztH8/osFgpkdxUbPnC4YrwsCEEL76k5SSrVu3smXLFgCqq6u56aabKCwsRNO1DzHrvQV6fTIFkEGDBvHqq6+ycuUqd04oYBBPJti6awf1LU0cOFzDkKFDGTBgAN26dSMajSA0kRmH0f3nPt3yh48DlaUW3+E9azqaUCxfsZqtO3bSZ+hYBo0cg62ZoCl34lZo7R0hf4mD6FA4ufIhfBk5Idr7Xo5tkUZiKkUAh5Cu0dx4kvWrl7F7+zZ2b9/M0H69eOiBe5k49joqSgoRuGRoTTfcUF9d3GHJC4ErwsCsdJrc3FyOHj3K5MmTmTx5Mn/6rT8l1hrjxIkTNDU1ZS70jkczmw7ljcCMHj2aPn36MGv2K/x+9qu0NDQwoP8AiouLOXToEK+/OYe3Fyxg0qTJjBs3jkGDBtGzRzeiwYDfo/PGGS4M3aq9Pu3mGu4SAiXdv/XeosXkFRYxePhIAjm5xC0HQibCwA2fMiV9r24olLdp5WpD1rkTkoCpE9I1NNvCaWvjYM1+dm7cwPvvzkU4FhNHDuNzTzzKuOtGIPBm5TR00x3zV1mV1SsZl7xM3xmpVIotm7ewY8cOjhw5wujRo7nr7ruprKhg69atnDhxgmQySXV1td9Mbi97iw4L9bxYPCcnh4GDBnHd+PEcPX6c1WvW4CiH6oEDGDZyBKFwiBWrVrJi1UoamhrdC962yYlG3O2QtI/EfFzWtfITe+85PBPRcBxFyk7zwdKVvPPeewwePpxhY65Hyy3BQsPRBZrm5ieGEuhKoCEygi6ifcniVQCBm4O5Qa5XoJEIKbGTcdqa6ti9dQNvv/4Kq5csYkDPCj770H0889QT9O/XCwMHXWvvGUphYkmBJSWGfuU3Ky5LH8z77IWGq1atZOuWrcTaYky5aQpTp06le/fu1NTUsHfvXmoOHaKgoICKigoKCwuRSmJZli+M45VovR5bW1sbwVCQbuVl3Dj5BsqKi9m2fRtr162jsbGRgUOGMG36DILRHJYsW8Frb86hvq4B23H30ZuBoNuH0XU0l6eDUnbmjpmpCirPlbTPqFmW5XpaBTt37WTN6jWUlpRimgFX2lrL/L4UNDY08j//+wuaLYcRN9xEt4FDkHrI5UF5RikVWkbERgl3MQRkqtsX49x4nBYBoOEvJhPZmveujoWmOikRuwchoz6daSMLXBaNcpdYGDoIZSOsBOnWRmp2buHNmc/z7uuz0aw2br/lRr7zJ19nyuRJRCNhdN1A0w3XW2mZXpnQ3N1dhrhymOpnwWUxsOxNkS0tLbzwwgts3rIFx3GYNGkSN954I9GcKIWFhb5R7Nm7h3AkTM+ePSkoKPAJwZ7mfDAYJJlMkkqlCIfDGJqGhiJsGvTu1ZNJEycSCkfYvHUry1eu4vCJkwwaOpxbZ9xO9cDBrF2/iRd/9yLvfbAEwwzQs1dvwpEQuhDteuXSIdbSghkMZeoNAqmkP/wJoAuNtliMP/+z7/BP3/sec+fMIzcnj/5DBqHpwt2YKDT27tjPD//9R4y85Tb6TbyBaFkxVjqjj6hAky7VByFQmnBH5C+6FLZo1wXMYo4IvxknfWNrb9W3B6tKOqStVOa7CpEReTQ1jXBQIxIwcOKtHN2zg7dfeYk3X/oNR/Zs465pN/JX3/4Tbpkyid49e6HrJrqe6V8K40PGpYkraAzkI3DJDcwzCqUUtbW1bNq0ibq6Oqqrq+nbt68vp5aXl0dpaSnhcJiysjLy8/MJhUIYhuFPN3t9slAoRDweJxKJ+DNlVtrC0AS66U48FxYW0bdvNf0HDCAnJ5eDBw6ya8dOYq2tGJrBiKFDGXXddeTn57N8+TIWv/8+dXV1aEKQk5PnrhEVGoFQCMtxXPKppmXu0u3Fl3g8zqGaGv76r/6KwoIC7LTNzFkv8/xLL1DerZyAGSJkhPmv//kJJ2JxbvrUXVT0qyatDDR5eRkaLkfQQUNmPtyvRaaT53IJ3aKNrek4moYUmrv4TyjQBZGoQSAIUipMU8Ox0tixVpJNzWzbuI535rzGkoXvcnj/HkaPGMI3v/4V7r3rTnpX9aC0sDjDFRV++H+1Q6hLPDjl6RxqmkY8Hqe+vp7W1lYCgYAvmx2JRCgqKvJ/p66uDtM0icfjaJpGt27dfOGcXbt28fOf/5zvfe97PovemxkyDPeid2wbNB2h6fz/7Z17cFXlucZ/67bvuScQICTcAoghgFwEr5VavNRerGAf/3a7AAATg0lEQVSPlzNTp3jGS6uIynHOHM+cmeo/jpXaOdYLVuq0MnqqHp0qjdZDLShCq2ASMNwCCRByA5Ls+1637/yx9lrZAWzpEaGJ+5lZyd47O3uvvdd61/d97/u8z5MxLDq7e9l/oJ3X/+cNPvhgM/5gkBkzzqPu/BmUlpVh6Dp/+uMGYtEoPlXmwoULWXzF15g2bSqBgIZl2WiK7LVOKJI8mHm0BcuWLaOh4fds/WgrZkbnzfVv8dSap4nH41SPr2HyhFp0y8ecyxYz+8or0UaPwV8Qxk6fyxYbh60un9A95Y2YOUOnLUlkFB+m7ExfZeEEpCQsNEnCp4Am28iSwtGubtoam2j+5GN27Wym//hRZs44j+9+6xrm1J/HxPFjKQgGQdjYlomqOsz34R5gnonj2Q4w90T0tP+y1Ck3RS+EIJ1Oexazru4GOMHp6ta72b577rmHDRs2UFhYyAsvvMCUKVO8Ea2oqCC7RtOcpY9w1gO2kMikM7Tub2fr1j+zY+dOtjV9SiDgZ9z4airHVDKmspLenl4OdXTQ3z9AeXkZs2bPpr7ufM6bOpGy4kLHfTKb0hPCxrYFuz77jAULFjB54iQ+bWoCIbBsi46eTu5/8EEatzfS1dvP7AWXcte//hvhMeMxQgUIWUOyz+XoJVCEiYSrcpw9Pt6ImjUQz2YwU6qGITvquooQKMJCtS0wDax0knQ8ysED+zmwq4VDOxo5fGA/NTXVfO2SS5k7dzYL5s4hGPAhCYGwHbN2RZG9bod8gP0/4SYl3CSF6w3mBs7nBZ6qqp4Di6qqXg+ZaZp88sknPPbYY2zcuJFFixbxxBNPUFVVRSgUwLYFiqJm38epmwlbICFjZHQkWeHAgXb+uOl9tjc1srOlBZ/PT2lZBefPnImi+jjW18f+/QcYiMYYVVHK/PrpXDCrnqm1tVRWVqKpKhKgGwYPPvAgzz37HD/5yU+4f+VKbFtH8WlkMjqWorBh42bufeAhLv76VXz7xlsoHjeR/oyJJSnONPTcnRLZ0Str+gcMpi9kEPLgakuSMBSBjY2CQLEtVGEh6Tq9HQfpOLCftr272NnYBJkkMydWUTt5AvPmzmPu3DmEQiF8moptO+txVZEwDROBY9XkvEU+wM4JMpkMqqqSSqUIBoOAUwy2LIsNGzZw33330d7ezqpVq/jh8uWUlpbi9/vRMxl8mg89ow9SaoT7S2Aj6DhyhHf/dwObP9rCZy176BsYYNp5dVwwfz6a5mffvn20tu4h1nOEiTU1XJrtRZs6ZQpFRRH27t3P0huWEo1F+UPDO0ydNgWBkSUeKHQd7eONhj/wyBNPct+//ycTz5tFsKgcQyjopo2inrulu8PTlJwMpQDLFmA7yQwhBLYlkGQZTZWxTRtVtjHSMQI+H6mBAboOtZPoO8qObR+zu6mRTDxKzbgqLlm0gFtu/A5jxlSgqiq27QSRsIf25nmQh29Q5WLYBhhAKpUiEAh400eX1mSaJl1dXfzsZz/jmWee4fs3/RNrnnuOdCpNKBQilUwRDodP2Tmd0TNIMpi2IJFMs217I+9v3MiuPfs4eKgDRdOYMeN8asZXkYodp6V5B319fZSVlbHkym+waNFC3nnnHR599FGWLV3GL37xXwT8foRkIATIssbmP2/nsV88Q1L1ccsdP6Jw1DiQ/GCrIIF1Ftnyp6rx2XK2ziZwSgTZxL1X4rdwTCZsk9jRDmQ9SefhDg61HWDPzp20791NZVkpk6qruPLyS7n0okWUl5Wiaha+kA9hWk4Tpapm2SguCWw4qX+d/vc7LAMskUgQDAa9VL9L/nUbOFevXs3jjz9ORUUFH2/7hMJIwRBzc68gfcKnFjgGbLZtO0loScIUglRa570/vMeaX67lk48/JpNMUlJWwreuvZaxY8eyZ88e/vT++xQVFjGzro433nyDtgNtFBaGMU0LX1BCRaU/muQ3L7/KUy+8yPfu/hH1l3wNWwsiCz9+VGRJQufsmTXkypcL4RTErew6UpUlNE3FJ0uoCGRsrIxJSJOI9cdp27+XZG8Hv17zLAdaWlBVmeqaCXx/6Q0svf7bTJ1SA3Z2FadIoFgggWkYyFmWjDM9dEewwcp5PsDOMaysqq1r9BCPxwmHw+zatYsnnniCV199lVtvvZUVK1YwceJEjxCcSqXwBwI5DXl2rg0XRtbRxfliHIa2LQR6RmcgGiOVTtHd1c2evft4a/3v6eo4QjweJ5lMUlJUTCQSoaOjA7/m47LLLmPJN77BrAvqKKsowq8F2Lr5Y37565dp74+y/OH/gOJS0rZCQAqgmY7Ihq1x1gIsd40ryyDLEpaRwbYyyEKgShIYGaxUkljfMToPtrHj009p/nQ7wtDxY1NRUsSs+llccskiaidPpqCggNKSYlRZQmChqhqWaYA6mCCRJdmZkmcTXSeGk8zwEys6FYZtgJmmiWmaBAIBbz323nvvsXz5cvr6+vjpT3/K8uXLsypVoKoyqVSaQDCAYRpZrY5BEZqsagSykNAzGWCwZ02SJIc6JZz/MHSdvv4oad0mHk/wwaZNNDc309zYRF9fH/39fZiGycy6mZiGTnFZEbf98FYmja/hd797hz9t2cbF3/4Oc665lmOWhOQLoxgyWsZhjZjK2R3BhLARtsAWAmFblBYoGMkYXR2HObh/H/t3tdBxYB9tu1qI+B3uYHlxIVcu/jrXXXctsixTUlLiGRoqqpo1NJSxheWYLao+TEn22JS2cD6jo5MylAjtTEfzAXZWd/JUj7nKvp2dnaxdu5bHH3+cefPmcdddd3HdddfljEQim0V0rprutF9RFAzTRNU0DEPHp/kcG9FssRgcuo9DhxIIWyBsnCSE5JwGhmkRi8U42N5Od3c3vT29tLW1s3v3LlpbW+ns7CISCTJm/GjGjhnH/v2HKCwbxbXfv4nCqgnIBcWUVlYidAl0gSwr6FK2EdMWKKrkJBYk2UnBCDvLyhrM8Z04z7WzcnWuBB7CoSrJsoycZUDJknNSJ+Ix0ukksf5+ent7OXa0l6MH93Cso42B/j70VAosi1BAZUbtVGbOmM7E6mqKiwoYU1nJuKpxqJ5bjRMUlm1mKWsOl9K0TWRJHdKxbAvbqZ3J0pCLySDlarhwNP72uTssAyydThMIBNB1nfnz59Pa2sqcOXNoaGggFAphGAY+36BMVzweJxKJYBgGuq4TDofp7e2loqKCWCxGIBDAMAzC4fAX2tdoNMrBgwfp7u6mp6eHnp5eDEtn80ebadmzl2QqQ2nFaKon16IFIijBCL5AiIKiUkZXjqWkohItXISmaiiKQjAccq7utiAYDuMPOH1QTtBbQ2yt3JHYtmzS6RSm5YjG6BmdaP8AiiyTiEeJ9veTSSVpP7APQ0+hp5KkUwlMQ8fSM5j9xwjJNrVTa5k8aTIlJcVUVFRQVVXF5OwU0DrhQpTHqTFsA8y2bV566SUeeughQqEQ99xzD7fddhuBnPVVbgu5S8INhULetM+larmB5Wo6fBG43Ep3bWGaJtFolJ07drB79266eo6STGXoi8bp6jlGfyLBQDRBMFxAIBxB9fmRfD5CoRDhcJiCwgICfif4g6EgkUgETXWmqzaDZueOxuKgvuTAwIBXT0wlkySTKZKJBIaRQVgWfceOkozHCPgUwsEA5WWlVI6uoKiggHGjyqgeM4b6+nrGjRvnHQP3gpXbh5cPsL+OYRlgQggWL15Mc3MzqVSK7du3M2HCBDRN86ZFqVTKCxoXbgAdP36c7u5ufvvb33L77bc7TZyy7JlInMl9NU2Tnq5uon19qIpjlyvJKl3dPbTs3k0qozMQjXP02DGQVExh0LJ3F7Zw1nrpdAokieKiYnp6eojFovh8/mzR3EBkWe3ZdwfA0A2KiosJBHwIAT6fn3A4QjyRZFRFOWPHVKLKMH3qVCKhAGNHj2JCTTUVFWWejqSEMmSEcvVPHPEgOR9gp4lhG2Dt7e2sXr2ae++9l/Hjxw+hXrl6H7k+YLquE4lE2LlzJytXruTDDz9k5syZHDx4kDlz5nD//fezaNEir2j9/0UuiTkej9Pa2kpzYxNrn/8lba1tTJs+DX/ATzKZ4vjxPuYvWMCNy5Yxa/YsQpECkAT+gIauG/T29nKks9MRUbVtDh06RFdXFzDI4JdOkQwpLCqiqqqKosJCkCQKCwupHDueouIiJAn0tIGE0+woZ1VmZABZwjYNhKwiK76TUvi5lr9OEmNkJCK+TAzLAHPhKlC5huYni04OtURKJBJ885vfZNu2bbz22mtMmjQJTdNYtmwZfr+fl19+mZqami90VT5RZiCdTtPT08Od/3Inn37ayPe+911uufUWFAmef34NmzZuYvToCh599FEWXnQRCIGiOb1PwrbJpFPZDCZYwnZGZMsGWXHamkWukqc7XZQd2QNFznY+S0iqhmmDIkmOcbpuoGoqkrARtpX12nIDCJAHp8q5fgHu9/lFG1G/KnAD7B9CMuDz8HkHMTeJAXzu+ikajRIIBHjhhRdobW1l7dq1LFmyxCMNb9myhQsuuICOjg6qq6vp7OxEURTKyso8Klaun5RlWZ7k3Kn21c1euvukahqGJBA+iZSl4wsHqRo7hoWXXMTmP3/EZ3t20dF1mFi8n+LSckBGEjKSLAgWaNkjJaG5gp1eK3Pu/VN9cXj/a+PEJFk1KkXzZTujZSRJGarVr5z8eicaJv6145LHyfiHDrAvikgkwuHDh3n44YdZsmQJV1999ZCFuqqqvPTSS0yZMoVUKsXDDz+Mbdv8/Oc/94Il9yruEpNPGxKYtkHGMkCT0C0dW5bQbRPZp5LU0wwkEoMSbW4X8RD9CvdHrsDLifc///1tsj3IuUrd7s0TAsWlReVx5jCiv0/LsmhqakKWZebNm+clPtzMom3b1NfXEwwG2bRpE6+88gr19fWsX7+e119/naamJi87KMuyZ1d7upBwnD3KS4qxDaclo7enm8bGRkzTonLMWMoqRuEPhUnphpcbPJObux/u7dzH7RO2PM48RnyAdXd34/P5qK2t9SyS3CBxRynTNFm5ciW6rrNjxw5CoRANDQ3ccMMNrFu3bojMwd8zPZIEiEwGI5ak+/ARXvnNOl59+b+JHh/giksXc8ftd3JB/Vz8cgAskdNBPLid+r7wCrMuEffE2+59BQsFE8Wx8UPJbvKQTSCfJQbJVw0jeoqoKAqLFy9GkiTefPNNrr766iH9aC4X7+mnn+bYsWO89tprXH755YRCIWbPns0DDzzAI488wvXXX++tu1KpFKFQ6LQCTRIQVFQU02Kgu4fGvih1s2Yz87w6Lr/8CmbMOJ9IYQGSkAj6A0jZbuITX/nk+/aQR6W/+lzrpOfn+szkmAghoTDCr7lnHSM6wFRVpbKykmeffZYf/OAHniSBJEmsXLmSuro69u3bx/PPP8/UqVOZP38+kUiEdDpNRUUF4XCY48ePc/fddwNObeuqq67i5ltuQVZkVEVFz1KtLNtCddPXWT8sG4GOQCgqdbPmcO+99zJpyhQURUXRVIedJzvtIY6w9JdxcivZbRDSST+H/iWPM4cRfbnq6elBCME111xDY2MjLS0tbNmyhc2bN1NbW4tlWWzcuJG2tjaefPJJRo0a5ZUAjhw5wvr16ykuLqaqqoq7776bSCTCnXfeya9+9StkWSajO4x+wzQcyx3AsEzSmTSmZWJLkDEt1FAQA0HGtpA1FS3gQ1ZkJ2uX9UBwHGC+jE39nO1Uz80H2JnGiB7BSkpKnA+pqlRXV7N161avIG1ZFi0tLaxYsYJVq1ZRV1eHaZqetuJDDz2Epml88MEHVFRUkEgkWL16NQ0NDWz6YBO3/vOt+LPOHoqiYAsbWZLRVA1NdeQP3NdyJQ90XR9C5cpj5GNEj2DudNDtfPb5fB4L3+fzsWrVKiZMmMDNN9/sNW/6fD4aGhp4++23ueOOOxg9ejSWZVFUVOTpL4osU8RN4cuSjCw5gqOGaXgtGeAUxePxONFolIGBAa8YncdXAyN6BHMLw4qioGcbKi3LYty4cRiGwbp163jrrbeorq72dD0GBgZYs2YNRUVF3HTTTV7gpVIpPvzwQ44ePUpd1unFNExHeMdyXBklWUJTNRLJBLt376axsZFp06YxadIkhBD85S9/oby8nFmzZuXpRl8R/ENTpc4EXJ5iNBqloKAAwJuq5bLoXX+yffv2ceGFF/L2229z8cUXe8bqiUSCpUuX0tzczJHOTsCpjSVTScKhcLbfTHi1tmg0SkdHB3o647E8CgsLkWWZmpqafICNcAwLqtSZgEv1KSws9B7z+/2AM4V04faYPfXUUyxevJiFCxciyzKGYZDJZHjxxRfZvn077777brbN3nndSDgCuGbeeNJr5WXllJWWnZw2z6+9vlIY8SPY6cLNHiaTSZLJJKNHj8a2bUzTJJ1OM336dK644grWrl2Lz+8/7UDJh9NXE1+ZEex04bZlFBQUEAgESKfTgDParVixglgsxo9//ONhL4iZx9nFiM4i/j1wTfcSiQSyLHtGEwMDA1iWxY033sjcuXOHTCvzyONvIT9FzMKyLE/vw7IsotEo5eXlxGIxwuEwyWSSYDCYdVT5O/iI5/qD5XFOMCwaLs82cttTcjXyczt689PDPE4H+QDLI48vEZ7cwrnekTzyGMn4P15bXsdaXMB2AAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDE4LTEyLTA3VDA3OjIxOjE3KzAwOjAw7MBWugAAACV0RVh0ZGF0ZTptb2RpZnkAMjAxOC0xMi0wN1QwNzoyMToxNyswMDowMJ2d7gYAAAAASUVORK5CYII=)
As, ΔPQR is in the semicircle and we know angle in the semicircle is a right angle, therefore PQR is a right-angled triangle.
[ If an angle is inscribed in a semi-circle, that angle measures 90 degrees.]
Here, QR is the hypotenuse of ΔPQR as lines from two ends of diameter always make a right angle when they meet at the circumference of that circle.
Hence by Pythagoras theorem we get,
Pythagoras Theorem : It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
QR2 = PQ2 + PR2
QR2 = 242 + 72
QR2 = 576 + 49
QR = 25 cm
Diameter = 25 cm
Or, radius = 12.5cm
Area of right angled triangle triangle = ![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 12 × 7
= 84 cm2
![](data:image/png;base64,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)
= 245.3125 sq cm
Hence,
Area of shaded region = Area of semicircle - area of ΔPQR
= 245.3125 – 84
Area of shaded region = 161.3125 sq cm
Question 2.Find the area of the shaded region in Fig. 12.20, if radii of the two concentric circles with centre O are 7 cm and 14 cm respectively and ∠ AOC = 40°.
![](data:image/png;base64,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)
Answer:![](data:image/png;base64,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)
Area of the shaded region = Area of Bigger sector – Area of Smaller Sector
![](data:image/png;base64,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)
If r2 and r1 are the two radii of Bigger and Smaller circles respectively, then:
Area of bigger sector = 40/360 πr22
Area of smaller sector = 40/360 πr12
![](data:image/png;base64,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)
Question 3.Find the area of the shaded region in Fig. 12.21, if ABCD is a square of side 14 cm and APD and BPC are semicircles.
![](data:image/png;base64,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)
Answer:It can be observed from the figure that the radius of each semi-circle is 7 cm
Area of each semi-circle =
r2
=
*
* (7)2
= 77 cm2
Area of square ABCD = (Side)2
= (14)2
= 196 cm2
Area of the shaded region= Area of square ABCD - Area of semi-circle APD - Area of semi-circle BPC
= 196 - 77 - 77
= 196 - 154
= 42 cm2
Question 4.Find the area of the shaded region in Fig. 12.22, where a circular arc of radius 6 cm has been drawn with vertex O of an equilateral triangle OAB of side 12 cm as centre.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJMAAADCCAYAAABNN/BHAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAACYSSURBVHja7V0LXFVV1r/XkVQ0GUaGdExzZEwzGZNMhiSSfKSSIzGQI8NABJFE8BEMQQ4MQQYSDIMpajgNpZj5CB+Y4fjIKB8p5OADI4xQQg3GwQeIIN717bX3Ofvei0AI93HO5azfb4vnnnPP3Wfv/1l77fVUgUIKGYAqKio+UynDoE8ajUavNd9qhuvXr+NgQdnp01BWVsbb6ZOnoeaHH+DmzZtw+/Ztve8pYOrF4KmtrYVPCgpgcWws+C3wAeeJjmBnPQBUKlWXm8PwYeDmPAWCA/xh1YoV8OWXRXCjoaFXAKzXggkn9urVesj7IBfcXJzBigNCDSq12KxBbeMAascZMND59zDS82UY/3wCjAt4nbfxLyTA0DkvQP9HPUA97klQ979f5/tqDjJbAsoA34Wwt7DQYoHVq8CEE/j9999DVno62Fj10QOPmrTBT/0ZXOJWw8K1ByHiQC3EnwJIqgBIvQCQXguQdQUguxFguU7LbiKf15Pzl8h1Nez6mOJGCN1dBfOW74IxBHzqB5zvANd016mwI38bNAhcSwGTTACE7YPcXJgycSKbTGFi1SMfBdfEtRBRVAsp5xgYEBQZBDhpBECp1UA/X1JFWiVA8tn2G56jrQr07pMu3occJ54B8N9SysBldZ8ALAauQD8/OHbsmOxBZbFgwolBoTgmMlKPA/V/5GmYmboRYkuaIesyAw6C5qcA090mAg1BlkZAhb+ZSVrYvhqYFJEOauv7OccaNWwYfLx5o2xBZZFgarhxAxbHxHAQ4RLmFJlJORBdruoZgAwNnLsBWPoF1o8k8n//DSVw7xPPcVDZDugHn37yiexAZVFgwsF/IzFRD0Suie/TCRSXHORA5gJRew05FvYNOWTkwcswZFYAB9VwuyHwiYxAZRFgwsEuIFv6AX20y5lbwnsUOLikpEgMQB1xK5StUMgPP3ABhj3zEgeVx6yZ8OOPPypgMjZdvXoVZrm7c8F6wktLqLC77Ap766UOovYaCu/4EiwiO0JUS4igejc7W9JcSrZgErmRCCL1uCeoTISTYE55yNByFQLLY1kBB9SkCePh/PnzCpgMCaSQoCAOpGnJayHtEpOJ5A6i9kCFL0gC4bZDnvoTB9W2/HzJcSnZgQm3+2NGjKADqrZ7EML210BmvTzkop40VCtk1AHMzdzOAZUQHy8pQMkKTGhYFXdqI/7wf5AkyBeWDCI9LiVsKML3VxNA3UPHYua0aZIBlGzA9Omnn/JlzS0xl+po5Cpg97ShGiGxHMDKaQ4dk9HDhpGNyHUFTF2hj/I+5EDyzNlDgWQMbbVsWgWTD7GNei6acmqbfgPgxo2bCpg6o80bP+JACtlVQeWjXg0knYa71kwiR00KT6eAsh0wgGr/FTC1Q/kff8yBtKiwisoLCoju1KBTQL2SxgBlbQ3XrzcoYNKlL4uKtEDaXUkHTAFPx4I57vQcQ1PomNkPtjGLUC5JMH3/3XccSAFbTtClTQFNFzgU4dxjn0+gY+c+1cXkgJIcmG6QNb+vsP2fn11I37hkRUbqMqBQH2WLyk0yhmEhIb0bTFOnTKYD4RSeQXdtCkjuUiivYX9VNg50HDdv3Ng7wZTy5pt0AAb8zpMqI3urHskQhuKog3VcU15Vdb53gelkaakgJ90DCeXMyKkAo/sN5Sfv9w7QMR051L73gAkFxT6Co33Q9nImJymA6LGBGMWEUX/8Cx3XpMTE3gGmuOho+sDjAv9G3yhFKWkggbyabV5Uajs6vqdPn7ZsMH377bfC8mbDtboKEAwrP6F6hb6sDqMtG0wTyAPig/pvLFGWNyMpNJHbD50TTMd53boPLBNMBTt20AccRHZvvd54a8SGBuHYkgYep2eRYGIBACqIPnKF60eUZpyGgQqTwjPpeL+VlGRZYPooL48FHvpEKVpuE2nHMdBC5E6tra2WAya0botcKU3hSsaXnc4yp7op0cvpuKe//bZlgGnvv/eyIMN5ixRVgClNLWSnvPhEK0+eYWjuZBYwTZnoSB8meGc5ZPQiH26pyE7jA1nU88ebN8sbTDU1NezNGOvKdnDKBJt8Z4dh6NTMYmcnbzBFhYfRB5m3eg9dw5UJNg936jtxFjMCV1bKF0x9hfUak2JJLYlEb9KKe71XZHCfJ5OC6XhJMX2AofPDWLybInibR01QxV5knAsrAyoxTQqmqPBwwXRyXNah3DxTnFxfBtJvDKcfOi+Uzkfp8ePyA9NIe3vaecwVKUeDbuo5IVHYDxomzNZozJ44rCdLnfca5u+EidFkBaaqqiracRu3BfRBZCUvCUGPCac1MCXy7+CwMBpcE3NhhGcouMRkQUKZRnacFs1XsSVNdE4w16eswLRp40bacUzCtaxeZttpMvBRh/4HqiHMr3r4My/CwvVfgD1meaMbisEQtK1MVt6hNJkr4aiqUVPoMzQ1N8sHTGEhzAUiaOdZWSWboDYtwplU9uNo//uOn8bzYuIW29pptgCoATTtjZz81rH/Y/3iaP9LiovlA6Yh1v1Ip62osVFOA47L19ys7dr83clr6SSIk+G1eg8/hwk15PSioCnLa81+2vfsrEz5gIkO+OBRND2gbFQClUxQHTo3mANmYd4RHqaO50IIpxXPWTnOlJUHBL4oYQdqad+9582VB5gqys8wdxMiuIpvtZzAZOPqzQETsquScx/8G1xQrq2d0mcIA5pMwIT6JsxxpVL1pSuHLMC0PX8LC1lO3SQvE4oAplFeERww3mRZEIND8VkCt5bxcyiQy81EtOwa0JfAEB6YJgFTRloq7awPWSLktoXG/i5ce5gDZmrsSsi6xhSWuGTPfnszP+dJ5Ce5PR+CydrFi/b/cl2d9MEUGsySmS7aUy07BZ9YBmPAo08z0FjZw+LSW5B9QwNJFRry2SC2y3v4SXatzOyNmF1mwiL2sp8qLZU+mMaPZhEoi0tbZRnyjXom1Nr3/62Qk7vfUBg5LwRUo1m1JquH3SHxGw0svyY/MOEyPjNjK52fndu3Sh9Mg/v2pZ3FSZGrpwByVGxYmQnrzNk85gEjn30ZfNcfhXTydo+cvwhcYldA0ncaKjfJ5aVBMM3KZKqPLRs3yAdMYvUkOYKJLnlConesOZejAVjewIRwXCq01TAHw8yUDymnkkOCezSr+G08TvuenBAvfTCxQbalHZe7vzdup9GPOvpwPatFV8kAdWeJ1X4w/c11FFRSNrMg2BftPkf7HBsVKRMwjXCyCDAhcJzCloJquCPV5uNkZNTpgwlNLtrihH3BK2efZOMCsf8hhcwIHxcdJRcwTZY9mHDgY0tucNA4R7/D85GrdGv8kh1eTEkjTHo5hYJq3rKdCpgMCibrkbIHUybhSqO8I7SlWdE36+RtiDveQv8/bHYQTI5gUbOTI9JhZTMLfJT6CyIuc7IAk7Xw1spZAGemEyFjy30PwfSUDUzrPdOfegtQX62p3tSjAKuO43Hkl//tUpZgmovygnnqv+CcBOSXyUdmkrtqAPuMYFKNZvk2fdcXwzKyk1MNHMk0+7lFBEBWYDcrgFYTn5ddKBh+3amM1dEz05TL5HwC4W4L1x0Cn/e/gHgi3JtyjPC55i7fRfu7IW+t9ME0SnDXxXofclRaooDt/c/PWL7NxzwoF0GOE5DP8h6h01zYvgsQdfgyrx7e56EnGND+9Xm79jrkQmkXAWa+9SGo+g4B9S9+A7PS86ly1NRgmiUoLQu25ksfTEF+vrSzoftqZGdO4c5xwlIdfuASczuuZLV1bV3/wOxyq/5N7Vzijg+rWLLv9OX30eVIyKUdQ5JYqbPf/I7eryO7Hj1XIzSdOsNiyXtRoUr/X6O9Xjz3U7vTSZFZtB8HvyiSPphSklg4su+G47JLUoGKR5eYFbT/Y/1e10snjRMbffgyBxrGAqYKoMHrxvr/lX7uEvOOnuxEq1v+YwcH25IqDV0e2+PaYhn74G1lMDvjYwjY/B/C1TSQRLh8OHk5Qwu/h9hjDRDySQW55zYI3/sDpJ7XQMDG/8C8rAKILKqFJZ2sBugSZDeb2U4v1FRLH0xbBP9vtAHJyRMR3/KYr67z3Vt7yzR6DowPeoNeM4Fwmiz0Z6pgHCGhDPiuL7a4gcmMAjhUfe04CIfODoTpSR/QwARdIRxD5zEkyYkW2iHX2j1I/zosjKJ9UQ0Zo1VJPPAo/z/dcf5Me/+IA7UdvsRU9rMeIR8XlJKjR9mbHZzMBlsOYMJypoS72E9nS/TMlPXtpklEYFAHMwE0yAnE5QqXkJmpG4Vdnx89xpcpSMehbvDjz/LvDpsbxOLxqnR2kDsrhGv7QPTRBnYtadiXiYtStE57u8mOzMFFcNKzJcfn+Dna91q4w2mPVizHoALVAPmACVO30AcbPQWWN8pH0x2Yf5r1+977aSRHR4IxTiwtyowpFad40CWNcqAqgQvd9xA95/dhMbXr+eQe5BO9mAjcC8guTjwO2nqGTzyCeZIAmD7jXCmnXEB2jh6ZW+lvOAu5llCAf4+M84DJc+nxkGkL6HdFcLnGr243gjqtGpNY1DOZb+5seYAJyUqwVyVXSr+eLoKGvrHDJjAQbOg8eSu9nky06sHHWcTy5q/5Dg6/h7nN6aQPGkFBgK6/IniCd52lS6B4vCD3Cw5GFPBHeYZyzkSTndYJkTGkTY7M5MbllS0A/SaxZBSDnefT5VE1ZqoQXramXTDhvXwEx78liQnyAZOvtxff0UndGxGB4Cnoiuxm/KlLCcn0li+bUSwuTTAEo5A7dM7zLLolKY/Z8oSlbVb6FiE9IDPFxBxt5PIN/q7r4tUcaHPTPyYg0hAZ6Ed6b5fYlXxZW6PDmWynelPO1GesG3OXTn6/3WUO5T1RHtu3b498wJSzkg3KrLRNki6wQ2Wgcq0qAHMZdQn8lYwLDZvzggCadZybUZtecSPPJ5lcoYFpSbkMUGNcYDqRafCc46Il7Lcqtd+jmd7UP9cK2mS5G+YRQq8ZIHAi5njYQKN/6PFwR1pVnQv4swJ4soq23LTPhOn0mmvXrskHTGLl7+FkIJB9S9VGh0CfJBQBHB/0t7sqmshCrrWgwd0Z1fNUMKC5xq9huy2vCOqViS+WmuzC1A89AVMX5/BJ1pNrCLgWFVaS65xATcBn/ZgHhBHujgpS9a8fo5+p1QNhSvQy+Nm4x9kx2fWN+XMc+b8NPbZ6+EnC8Rr0dqIMqBqWbH7UKIPMsUkTV9ha467Bhm5rUyWoCafVkA7Vc1UAbu3vVsmK4HOJyab3GOMbw0Of6ERi6QkizFN/+E+/p851ojJSVIR2ZD8TvTe5F6cgU+ESir8hnsNj/Evr915mx+2pY/CzQKFyQWhwsPzAtNDbhwmdRLaQmsOYaH+zdVtA++ixfFe3SrnSZRI15morpjEnXEScTLyf3waWo0o10klr3O0Cl9ZVGbRdXvW+X9nO+Xa+g30aH8JKshUdOCA/MO3bvZt23jFsqeSUl7TGyGahTNn9j1BVQHftiLrludDYKxq4xVq6A5xYpMvcv+czzlVh4hdHMLeIMpWhyORpCMUHoDsdiagIxJ2XasAw2jcMrOxJMKXoDdCHyCrUjJT3FV2SqGYcM6ocucLlqviyFlZ9yYTPi0AKyD9Ff9/rGQ/5gulZ0nmqu9lUKhnuhNxhdjorez/E3dcg/cJ7hO4RtdDWekpPqr0OTRWE/ESTh8yjSsBuVqDBsp+YDUxlZeyNwCjSZRLIO5BKY+I0XM+DCbAM5WKLIB3h+TKLBI5bxUGTyuvAsS1/2N7zJnux6C7uFLNI4E7PkGSWpPK/sO5PH0ZXQWcu+xuzcb3FXG2jspjQXWnAiStt5QrKuOM3uM4KgeYppOPpO8GdqUtMsOyj6sM9aZ2QRidL/mDasH49qxAekc4UmGbSOeHERnx2UVAFWHFOZegl1D1praBfCqfgFXdm+H+rR2YI/lCF1MfcqApZQTZD9YyhFJVmBxMaftWiQ/4pjdkc5lBIHjBpJktyj6oAI3g0iBsN0cUX9UsI4iRBrgrbVy0ssVZafZQRn3eu4EcV8fLLBp9Xs1V1SkthWmbnmGyzVMDE5Qx3WXQif+VI9V7G0srjby0QM6nYj9NTUCKAsTYxVZmEvGk0YZzvWIXd9JUrVywHTEgid0o8Y1ruhINKB9aWJdTAUB+jGp8FJaH1Y8+w7fiqvZwLprRxoov+qt4oCl0E9Ky32Y71peAXjDKfZgVTVmYGMzv4xZp0e4ycEEO3WZmyl0xiK8SNRmRRncAZBjEXX2FXR1UTmcypf5DzPOo+YkhhPJXLSiqjyEqSABPSPcIbGf75RZNkXcOBjT91W+vyUdxoEtOOmJNgQhBb0qZE/oM/Lw0wIH1AzTvLm/mV4VQFAlhxp0qNz6+/brS5NDuY0C7EXCvcTBKIiG7Do30i2YSSATYlR8Sdop5f+LEGrVdBra7T3CB6rSGEceRyEZ//aBS9kuTAhPTM08xW5f5mnlF9xNnu6QdBFfAzJjuZ2KSDXGJW2hatX3id/vI7yusV5h0Zn9Njvy/RWxNfVLzn7t27LR9MuLMQhXGMBjGGMJwi2Mv6TWSqgAVrDzJ7mRnsgNTFtz+zAwZ8XKrnRBdX0sw5V8yxhh4pdRGMLnGr6L1+P2eO0edREmBCyt+0iXGMYY60wI2h/Z1wwhbkHhKc858wa94DlNECBUMrekWm6ngoUCWnkMcAo1U683Pq9DfqMK6uii9vzQYoZyEbMCH5+jB/p7EBCazkaqXhuBLbzbCEEqF7qs2aYjmlSswvzqKBPbJ2aFUF54SaJvcyJWfQtm/ueoNAXV6+09AEa3R5K9xtkvmTFJg0Gg3Y3TuQDfA7nxissjjqWFwXv0vvO8LzJYMCtSfyW9Theu6KklSu4dwJgR6wSfCtsht7h6qgs76LQB0kpGN+IyHBZPMnKTAhVVdXc/lpUeH3Pd4i41u6uPQmVwXElbZIJt8B7iTFQMpxAfE0okTXAG3j+qwQRPkRF8ZFsLQHKGrvIy+gYxi759NPuZt07iQHJqTCXbs4oKKJQN7dJYmGGZFJGOUTRe81LTFXUhUERE6kGw0svjy4CdF1oos73kQ5LMpakyPehmhyLqUNt6JJ7tNZkntrE8lJkgcT0vu5uUK0qj3En2zulmIxAwvlFAjh1ffcR42rUkvpg+DGNIU0eHKqF/cqEJWNLnEsRGyc/2LIaSVcR+BkvhuO8p3eEuHa+UKsH76IdT2sNmBRYEL66+txQlWAoRBfevuuljwaR49xYYKOBasxSbGuCRe4H3BiHqgfsWhgkatSNYLaRoiNawZbF0+Bi9WxHWklU8R6vvtvDqTy8nKzzJekwUQBFfcaA1S/YRB/WtNlQOB1Xu/uY6qAh56gOiWphqUjN+IJKqzsuLAdmF9G+q2B4IIzgkuxH83XwOsc17ClDbP5ikDC+ERzkeTBxAAVx2UoDB36KZcVLosITmDhRZckHZIuLlP2M/7EdrL/2AZ+m0qEGn0jwffDr2DQlHl66aExpHzZVYDpRDgXgXTmzBmzzpMswISUnJTEAYUJr2jK5KqONb/OsSwQ0mFBtFGc3gzuVdAmhHxRYRXYuT/HhXMx7Y3YUI80Mext7dJ2ptzscyQbMCGtz8vjgJq5dCOkX7zTDyqdZnPTRuWa05OzO8udGA08PjCBRvxiaPg9jjN0QCVU3RTMQvf2728WYVv2YEIqLi7mgLKfFQhvfKvhAqvo5jFUCOOZmbKB6l3kACTRUY7mz1Tfy5d0lInSBZnKfrqfHqB+P+dpaGlpkczcyA5MSPX19TDO4de8Rgkm5cr8L1veeK5u61/xnZJcwCRyJ+81zC3HevJcKuvhZ+9c19CC0uKyZkrNtkWDSaTXXn2Vc6kJwYnwRkUzqBymCAm6imVX4pRrsdFtxMGZeTd8cAhijl0F1VhXDqQ9e/ZIcj5kDSakI0eOgE3//nrsH32tM2VUxfsOYRzT6Ow5p/dMCCJPj2dMrtXuVWASKWzRIm5/owm6ZJYiuq2rLS5to31e5WA6YKBMJQqYukD/zMkRwoWWGMzbwNyqAtR4i7s49KhQwGQCunXrll6ubrlVQejQdaYewD05jwVNhoYqYDIF+fsuZKqAtC1aNw4LaLQOC8b3CQniL16sUcBkTDpZKjiRDRTq2cm4BnCH7sZrWd5wN+cpCpiMSS6TnXiCLqmnhO6uMI5G6j6/nSGkWN6ngMkYVLCDVQWwxQRdtZbHlXRVBbhDpc86oJ8CJmOQlaAKQK9Di+RKOl4FaBYaG8CqRGW/844CJkPS0rdYptiJoWmSTlJvqMYy3LVwVcEtCSovZQmm//33v52W7bLUhvqzmWksvjA4wF8BkyEo0N+fDujsjO1mico1p92OuvjaONDn/8aMXpUWAaZSURXwgDNLdNFLuBL317oENFMxVRW4TFXA1BOaPGG8oAo4JUuvAENwJzRi4w6WFmkmO1oFTN2gjz78kDnFeQSzVDgyt791mztRVUEt3cn2wQoDErHbyQZMaOjU1mS7Jm+vAAM0fJnGBycLIeDxCpjuhuJjY1mu7sgsWQQImMJuxwr+MFXB1av1Cpi6QrW1tXq5uuXmims0VQGRGeevZInpvefPV8DUFfLxYlGsnmTgFK6kz51odab7mX3y9MmTCpg6o+Jjx4Scl0+wKBQLtb/1xKsgeDurMuowfJgCps5oxFB7pvHdWSG5GnVS8SpAbm33NCsovfGjjxQwtUcfCJlQ7D1eVJa3zux2mAuztIVHA9++dUsBky5pWlu5KiD+hHQSdEnZbucsRAPHRkUpYNIlDDLEgXGJXclccXupgvJuuFOSTjQw7oAVMBG6eFEs2/ULWHKu99nfus2dMBr4vSJWpWr2TAVMSNPdWIKu+at3m6Xik5ztdphMVfXwU3T8Dh/6sneD6fN9LHGV6qEneUIKBSh3Z7cTy2aMMrGqQHJgGj5kCM/VbcmuuMbWPY32ZSkcMTi1V4LpnzksV/e4wERZ5wqQgjCuGw3cbCJVgWTAdFuMyqW5upt7vVdAj70K6gHchNrAkeFhvQtMkWFhrGT74jWKgtJAdjtaG9jqPjquP/74Y+8A0/nz54Vc3b9iqgDF/mYwVYHvhmLmuuPo2DvA5ObsLOTqPtorXXGNpioQUvP0fYTV8yv89FPLBlPR55+xBF2P/4EVnFGEboM2Gg1cxFx8B1tZWTaY+grJrMIwv7fClQzfBK8C0cV31Yp3LBNMK95hRYjH+P+1V0Tlmk1VgLWBz2i0qgIjRQObDUw3b97kUbm0LLtifzOuqoBGA7PawAu9vCwLTIuCg+mDYfFjxf5mGmGcRgNbswqb3377rWWACR+EcqVfPKhXn1ZpRrbbXWLFfXDsp0ycaBlgchrPonJ91x9VuJIpuVMVSxw2ZGYAHf8d27bJG0x7C1mBPRt3X6pUU1QBJuZOFwAivqjjLr6yBlMfwf6GxY4VrwAzacaJMD4pPIOCaembb8oTTOlLl7LSFJirW1nezNba1gbGWjSyAlPD9evaBF1nLCdXt1wbKog9c/YzVYG3t7zA5L9gAVMFpOdbVK5uOXOnVJ1o4JOdRANj0pC2zShg6koZhgpRFfDAY9RPSfEKkA53Ct55lrn4DrW/Y96qq6shNSUFwkNDITwsDHwJQ1jg7QNxMbHw3XcVhgeT13xP2P8TuanHjBzBEnQVlCtRuVLTjF8BsJ/DFMjrcnP15u3y5cvg7+fPiwG98OcAmPHUU/w4b906w4Hp1KlT9KbubtM6vKZgxw6Wv3pGAMvVragCJNVoNPBxbTRw25VmnxjgQdq1K1foZ9b9WL1gOxtbw4HJ39eX/9AV4YfakuiKG334mqIKkKqqgLzkLnGrWYn7uDi9+du6dSufY1z2EGx2trb0+KHfPGgYMOF28t6BA/kPRbUTkizm6naJy4HljUydj4BSmrQaqmnwr2i3040G1gXTkiVLwMfLi/6/X9++UFFebhgwpaWlQUZGBjj99hH+Y7os8rqoCkBfpb01EPllLS1grDQptosQ9/V1cHvjA7bjdndvF0y/f+YZeHjcOPp/VD4fOnSo52BCfxg3V1cKnq+//pr/2Orslfya2TNn6ZUFVZq82p7de+4A09mzZ+lnk50m889aW1t7BqaVK1fSmrG/vn8k/Oq++/iNh9lrt5fphHOFvvgSvBrxCrwcHAwvv6g0qbdXXnqRzFcERLzyChQdKLoDTOUVTB2QlZmpBZ1O8em7BhNyI/dp0yAvLw+OHjkCJSUlVGgTb/7555+DQpZDu3bt4nN7ovQEnf+xDg68CHVTU1P3wRQRHg4jhw/X+6xOTGAqtJaWFtkMVkdK1840vb2Fqs+dgxCyqiBosPmR3fvChQvp/63v6X+HfvGuwHThwgV44fnn4TkfH8IGtdWs8aa+f/wjPO78O3B/4kk4sH+/5Afqxo0bNA5//NixVF+mC6LsFStgUL9+9MVYIdFyXKYgZBL7yVyeOHGCjhHOK851WQc1W7q9m9N9azU6QpgcCAfnIWFXgu3gwYP83KKQEP4miue3bNrUqzlUV8liStHfDTU2NurJAkePHuXnniLb4uzly+EIkQfF88jeO3upbpLdbdslsSPj6E8ZSxUwyZDq6uraBZPuJC8UPB2SEpPavQfq0hZ4e4PTI4/AUDt7WJqylH6OxtHBA6zBc948aiDFewyxsYXCwkICTD96PHL4CIP5ESlgMjPV1NS0CyZdsh00iJ4/c+ZMu+ddhLD23QQk4rKI2uNNmzbxe7/2l7/A5EmT+PGaNWv4/+MXL1bA1BvA9O0339Bz//dKRLvfr6qq4t9HWkOE+RlkicStMspkNOS9HyvOnJ6WzrjRiBH02NNjHrMMhIYqYLJ0MOFSN83NDXye/QM/bkv5+flaLbBGfwOCAj3NXz5kCD1OTmKh2WPHjKHHcwXrQGREhAImS6ALly5xMBQXF+udi18cD5MmTqRZf8kAQUhQ0B2pkA8fPsy//8knBRx0aF5AcDI5yaZTMMXFxipgsgSqrKxsVzWwRUfe0W1tCUGjqz54d9UqSEhIoPoYXvpV+F7KkiX0/0MFc9N0VzfBD8xNAZPcCeWd6KgoGGhtDVYEEKFEdqkTOI/7k09yPZPYXnvttXbvgxxN9zr0okDKJH/x+L5f/pIaTKNfjabHjzk9CvlbtsBTT7rT498+7Ei9GRUwyZxwEpG74NKkO6ENDQ1dcp4XCT0o0Jquew/UY6EchefQtCTar/AYvRXxvHiscCaFFFLApJACJoUUMCmkgEkhhRQwKaSASSEFTAopZOFg0nTSpNrXu/1OT84rYOoiZZ4C8CItuALAvwxg7nGAWUKbXwqQeEF7bV4lwL+uGR8o+bUA7YVXVFwGCCB9jT0HcL0L92toIv0nzxREnq20g99bVQ4QSK7Z3GQeUFkUmHLIYKqzG0EVfQVUq1thBpmsP5HB/TP5q85pAvX7ZFJwYrD0aBy5ZgPAJSP041I9Acp+8hvvNYEqlwxym/MbCbjVGY2gjrsGqkTS3+0AX3dyv1PnsP/k+sXk+sUNoMrTwLsN2vNN5KVwWN8M6kRyDu+Z3QKB5xQw9Zi2HGhhA7qzzYlWgCWHAWqEwwnbW2H8iY45Sk+WxyUlAD9f08T6kQegO6/1BARJ5PyeZoBCTAWY3kAB5XCm4/tlEPDlkO+V1hFQrSTgiyPf0cY+Qj55WZII1y0h93x8UzMB3LV2QayA6S4pD8GEg7mdcSGkYrKk1CGemtlnSWQSI8jkpbRZgv5HTvoSgHmcYEtlMJmksCry5nejHycQKPENd4AJ2gA0aidOPgHI4Y7vpdvH/cWtDEz52n416pxvRK6bTM4v14CpA84sDkxrRTBtBfieHH9JQOP5BYCuo4fvLjKBMWSZy9XAceGzfQQ8qiyyFBYCuO8UuNvyFgiuBuiObb8zMOlSTCHpS3ITvFrftfseKdGAKqEBBpZ2ADzyoKok8ru7TD/2Fggm8uai7JBNZIjtGiqbqAr1r7l8Dt9eApb12qWg73LynSXN8J5wrFpGjtdo4GA3+1HaRTCNfJ8AuECfu3RGUfgikH590cH5z04RsKW1wN+ugcnJcjkTWeZw83aYcKYFB/U509lKLZhoXg+yjqjSyHF6C6wXwbSaACGjBbIajAemPWUE7O9rYHcX73kNZab3WuAvVzq+ZtTaZnA8Y56xt2gwiS9nyWUGrPbAJAY6v7CTLTfzyYXfYcGalAZQ7+z+bu+nwIQxCJ4ERVvuIhg6+YAGkjvpUAER7P3KzDf2FgemDUVaMNV3cE2lDphO6Xwevo8sEWRpVBVowL/N232btNOtXd/dlVVqwVTTzvk4AowwAriT5IZfEUk6lwC4RDj3P/LZd22u30ZkpOnkgkOkD8XN7Pp9OktZFTmeWgSwg5z7D+G0BYSLrb2ggKnbhBOdvZuAKZYJ4Lc7uO4HnOgktm0XC2XloWBLALiAgMi/nMgmZKJzr2jB45FHtvopTRBY3bV+fHlCw3RCuWSi25z/EHdkuONKaWQNQbdR2H2Sf1Qo561she0iUDBfdxrKdML1KBPmtMJWgavdIgDqt7qRCd4pwt+0JghWwNR9CiLCt3o5EWiTG8nfFlCTZaS97bFjPhHOyWSqM5vBVZDA521vZltu3MVhQ0AS8LgIy8ZzG8h905rhxZqfRpJrEZGFVpLryeSrM8hfgoqUK1pgqNMb2LlU0sjkq5NIKxK+T8CkziLHORqgCWsIUPqvFq4RrydgUm/RyoE+W5jCkp/HZ8vWglEBUzfoBJmI/WTwCVOgS8GuBq2uSZdQuVdK3urjzdplbi8BjSqHTMqaFirkqnNbGDfIE4R00P79KTpIfnQPWbpOkN8oJUvO7mv63Al/F8/ptjqd89hnXcyeEvrLryf31GWQVeS4pM15c8jgiteAwE1+lt0Eo8v0Nd/RuwiodnUseymkgKldSi0GcNiqARuyNFqT5kCWnWgi8B7o3cnjFDB1lxrIElFAZJvtV9gypZACJoUUMCmkgEkhhRQwKWQUMOE/SlNaT9uOHTv+8f/AXROfATPgOQAAAABJRU5ErkJggg==)
Answer:We know that each interior angle of an equilateral triangle is of measure 60°
Area of sector =
r2
=
x
x 6 x 6
=
cm2
Area of triangle OAB =
x (12)2
![](data:image/png;base64,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)
= 36
cm2
Area of circle = πr2
=
× 6 × 6
=
cm2
Area of shaded region = Area of ΔOAB + Area of circle - Area of sector
=
- ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABYAAAAhCAMAAADqFascAAAAAXNSR0IArs4c6QAAAEJQTFRFAAAAAAAAAAA6AGa2OgAAOgA6OpDbZgAAZgA6Zrb/kDoAkDo6kGaQkNv/tmYA25A629vb2////7Zm/9uQ//+2///bUvbqqwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAiUlEQVQoU71Ryw6DMAyLYTDoVsr6+P9fpe5jk2AXREUuURzHcRuRs7H0nDAAxpj9E4hALAmHlxbbafETs8gqJrFjuEGXnMYLHNSc24ZiFV6ADNtM+4k8iNcyOeEqR5hcm43RWTFIf8DZN7bgc+8xWii31QiKLuuZvtrh/Unn/BPlKrvO7eQr37ABHQkETX3dKwkAAAAASUVORK5CYII=)
= (36
+
) cm2
Question 5.From each corner of a square of side 4 cm a quadrant of a circle of radius 1 cm is cut and also a circle of diameter 2 cm is cut as shown in Fig. 12.23. Find the area of the remaining portion of the square.
![](data:image/png;base64,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)
Answer:Each quadrant is a sector of 90° in a circle of 1 cm radius
Area of each quadrant =
*
r2
=
*
* (1)2
=
cm2
Area of square = (Side)2
= (4)2
= 16 cm2
Area of circle = πr2 = π (1)2
=
cm2
Area of the shaded region = Area of square - Area of circle - 4 × Area of quadrant
= 16 -
- 4 * ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAAiCAMAAAC3OnOQAAAAAXNSR0IArs4c6QAAADxQTFRFAAAAAAAAAAA6ADqQAGa2OgAAOgA6OpDbZgAAZgA6Zrb/kDoAkNv/tmYA25A62////7Zm/9uQ//+2///bIiFlqwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAg0lEQVQoU6WQSRKAMAgEwV0TY5b//1VGiHqzUnKZCsMSmqg18sI8SJNpXj3FzlNVjEuTv6ZWDbMuMY1olzAN9jRFNm7qimIN86Ot3/2qx/RXfJX/99/8+uPmVtwstyoocMuLMNgVDbipL7nKrTjmq1y5wSsOzJRbGrW/8qMgV8q+xjgBDiEFDp8lLTAAAAAASUVORK5CYII=)
= 16 -
- ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAAhCAMAAAAxrgE+AAAAAXNSR0IArs4c6QAAADlQTFRFAAAAAAAAAAA6AGa2OgA6OpDbZgAAZgA6Zrb/kDoAkDo6kGaQkNv/25A62////7Zm/9uQ//+2///bgd/UBAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAaElEQVQoU62Q2xKAIAhEoftFM/3/jw1ymXozG/flDAILQlRSnJh7KQLj7Ch0jozafg7udjH6MZuCQdtFoEcI6mtYclaoY5gfltarzav7S7Xtv+rTqhPxbXFI+0Fpyzcz2ZEQt01/3/oC9w8DLcU9cqQAAAAASUVORK5CYII=)
= 16 - ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAAhCAMAAAAxrgE+AAAAAXNSR0IArs4c6QAAAD9QTFRFAAAAAAAAAABmADqQAGa2OgAAOjoAZgBmZrbbZrb/kDoAkDo6kGaQkNv/tv//25A62////7Zm/9uQ//+2///bez1Z4wAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAaUlEQVQoU62QUQ6AIAxDQVEREVB3/7MqZUL8Qoz7eWnWdcuEqNc+zDAxaRmhb3ptoJmbImjmMTky2gam8DJWH5gISvOZXnYOgcz6hQ0OrC/VMPndSiYuVDmAbLi+tz4Ct9JOz/2z/f70E62tBE2NgvC+AAAAAElFTkSuQmCC)
= ![](data:image/png;base64,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)
=
cm2
Question 6.In a circular table cover of radius 32 cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in Fig. 12.24. Find the area of the design (shaded region).
![](data:image/png;base64,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)
Answer:Radius of the circle "R" = 32 cm
Draw a median AD of the triangle passing through the centre of the circle.
⇒ BD = AB/2
Since, AD is the median of the triangle
∴ AO = Radius of the circle = 2/3 AD [ By the property of equilateral triangle inscribed in a circle]
⇒ 2/3 AD = 32 cm
⇒ AD = 48 cm
In ΔADB,
By Pythagoras theorem,
AB2 = AD2 + BD2
⇒ AB2 = 482 + (AB/2)2
⇒ AB2 = 2304 + AB2/4
⇒ 3/4 (AB2)= 2304
⇒ AB2 = 3072
⇒ AB= 32√3 cm
Area of ΔABC = √3/4 × (32√3)2 cm2
= 768√3 cm2
Area of circle = π R2
= 22/7 × 32 × 32
= 22528/7 cm2
Area of the design = Area of circle - Area of ΔABC
= (22528/7 - 768√3) cm2
Question 7.In Fig. 12.25, ABCD is a square of side 14 cm. With centers A, B, C and D, four circles are drawn such that each circle touch externally two of the remaining three circles. Find the area of the shaded region.
![](data:image/png;base64,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)
Answer:To Find: Area of shaded region
Given: Side of square ABCD = 14 cm
Radius of circles with centers A, B, C and D = 14/2 = 7 cm
Area of shaded region = Area of square - Area of four sectors subtending right angle
Area of each of the 4 sectors is equal to each other and is a sector of 90° in a circle of 7 cm radius. So, Area of four sectors will be equal to Area of one complete circle
Area of 4 sectors = Πr2
![](data:image/png;base64,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)
Area of square ABCD = (Side)2
Area of square ABCD = (14)2
Area of square ABCD = 196 cm2
Area of shaded portion = Area of square ABCD - 4 × Area of each sector
= 196 – 154
= 42 cm2
Therefore, the area of shaded portion is 42 cm2
Question 8.Fig. 12.26 depicts a racing track whose left and right ends are semicircular.
![](data:image/png;base64,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)
The distance between the two inner parallel line segments is 60 m and they are each 106 m long. If the track is 10 m wide, find:
(i) The distance around the track along its inner edge
(ii) The area of the track.
Answer:![](data:image/png;base64,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)
(i) Distance around the track along its inner edge = AB + semicircle BEC + CD + semicircle DFA
= 106 + (
× 2πr )+ 106 +(
× 2πr) [Perimeter of semicircle is half of circle and perimeter of circle is 2πr)
= 212 +(
× 2 ×
× 30) +(
× 2 ×
× 30)
= 212 + (2 ×
×30)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKIAAAAzCAYAAAAUyNP9AAAHiklEQVR4Xu2cZcguRRTHf1fFLiwU84PdhV0oBipidweiYmMXfrBFQUWvYiEiBgZ2d2B3YGNhdzd/OQt79+4+75l9Zt8765358vLunjl75sz/OTMnZsaQW9ZAAhoYk4AMWYSsATIQMwiS0EAGYhLTMI4QCwNnAjsC39aINwmwDbAQMBkwPTAbcDFwb4VetNsDawKzAzMBbwNnAy/U8F4C2AH43t7NaHzf7FpNGYhda9jHf2dgQQPUusCUwOLAV5Xumq+DgEeAZ0rvNgOuBU4ATrbnAuHRwIvArcA/wOTAKcC+xufCEo9VgdMA8frCngu8NwKHAE/4htKOKgOxnd5i91rarN8HwHXAKg1AlBUUCK82cPxpggi4zwLzALJq7wPrAPMCl1aEFRgfMv4rAa8C0wBPA8cY8MpdZH2PBUT7U+yBF/wyELvSbHu+1w8AosAgy/QhsGRp6dYSrefLA6sBj9mSOh9wlIGsLNGhtvyfARxuVvAKQNuCjyuii8cbwJZmWduPbEDPDMRO1DoU00FAFOB2MrDcXfrKtLYEzwIsau9vATYGLgL2rki0qVm+G4AtgCsN/AL3jxXaGYCXgbuAvYYaWQZiV+rrhO8gIDZ9cGXgcXNCtJ9TWw7YEzgHeL3ScRfgckBWcHfgUWA66/NbhXYq4CXgM2AN4O8uRp0tYhdaHY5nKBDl2cr6vQXsB/zi+Lz2oVpqNwfuNKDJQxegi31nwaYAopydpZz8HSKMS5KBGKyyzjt4gDgpsCug/dvWZtnk8VZBVCesvHM5Jg8bEOWoaOn9tAGIxf5TgNfS7QF6sJIyEINV1nkHDxDLQmh/qJCMrNketldsElIAvspCRRvYcjsz8ArwUQZi53Pbqw+EAlGDmxp4CpjVnI53GkZ8sDk7G5oFFJkC4rKIn4+wNIs2W8ReQWk4YdsAUV9UtkTB7kvMSalKsYk915L+demlYpDP2f/LAr82OCt6rvBQ1ZkZbrTWO6WlOTQdpSEMSoe14RdFqUMyGQTE1YH1AGVEtJSW2z7A+Za6WwH4o/RSsUUFpo8Afi49V8rvG+B+YG6zeOX3IpU3LYupNJ++3UlLBYgh6ShPOiyEX6hiZUFkfQ6ribmF8qqjbwLiFJbWU+pP3y/CNAUPeczn2RKtdF3huCjTsp2l/8rgVIZFfcTrVIsRLmJLdFkupfnkkZ9lPGKMcTweqQAxJB3lSYeF8AtVrDb391kKrZoLDuUVAkQ5Gor3CYiKAyoYXW5jLXB9ulk+vZNXrdyxAFoGod7ND6xlGRiFZZ60rEw5hy06WdN7gBUtzBNjjMkCUZUj3nRUeRBN1qMtP4+SuwaiYoLKNStDoiByuSlUo3DLZZXnyqg8b8uugs7qJ8flNvv7V83AFI7ZCngA/isHVE5aWZUDrEBCXfRcmRn9COSRK5bYSUvFIoakozxAbMvPo+QugKjJXwAQbzkMit29C7xmk3888IMBYzdgGeBm27vNBZxklTXKkrxng1DaTiVdTU1Lt2KKBb28Z1lVAVoWVNiQXPpBqFqnmvrz6MpNkwoQvekoLUkeILbl51FcF0D0fLdMI6u4vlXaCCCqplH1zbAWS3jQD2FtS+XJWhYedaiMQfQeIGrjr1+d/rZtyk/Ky2uTpyyno1Qb5wHiIDkH8fOMLwUgeuTsFY0HiNocay+mfULbJgCqykNhgJBWTUdVN9yhMbeR+Hlky0D0aCmQxgPEQJbRyOvSUVXmIUD08PMIPywQVUX9f2onxhhMykCsS0cNA0QPP/FX3OzAAVsRxREVHL6mJgtRyKe92rk1RaZ6n4FYg9xUgdiUjmoLRC8/8ddBpP3NC637sXuA+DtwAfBJDGsxMfBIEYiD0lHlHKnmx7M0h/DzzPmwS7PnGxMdjQeIi1lEXwHQtk3HExVo1YmyQc2Tjir3HwmIofw848tA9GgpkMYDRIVt5hzSa1ZkX4dyBoVvvOkoLxDb8POoLwPRo6VAGg8QA1m2Ig9JR5U/0JQOa8vPI3yqQFSa70vPAFKkSQWIIekoTzpMjkJIeitkblIEoipzVJigLIjKupqajgjcHjLY0aJNBYijNd4Y30kRiHNYvaCODTQ1FbaqMltpu+RaBmL4lKQIRBXCKuSks851+WY5nJrrI8OHOzo9MhDD9aw4ogpJda9MtZo5nFucHttaQawqdqpN51l0uEo3PqQi73hCZiDGAcKE5qISflXgVM+TaH6L+2x0x02yLQMx2amJIpgAqsqp6kVMUZjHZJKBGFObafHSwShdUae9Y7VqKS1JbQObnFBZoCga0M0PDwJ3ROHWMZNsETtW8ARir3sRb7LDUd9NIBmCPpuBGKSu3hAfZxdrbtQXiTMQ+zJTfjmVZdHRUB151YWcvWgZiL2YpiAhFbzWpUoq7tXdiL1oGYi9mKYgIYtLOHW0tHr+OYjRaBJnII6mtkfnWzqTrKtEdMODHJZetAzEXkxTkJAqFtZNsBmIQWrLxLE1oENduppEHnOSJV91A84WMTYMMr9WGshAbKW23Cm2BjIQY2s082ulgQzEVmrLnWJrIAMxtkYzv1YayEBspbbcKbYG/gXQccBDCkjqswAAAABJRU5ErkJggg==)
= ![](data:image/png;base64,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)
=
m
(ii) Area of the track = (Area of GHIJ - Area of ABCD) + (Area of semi-circle HKI - Area of semi-circle BEC) + (Area of semi-circle GLJ - Area of semi-circle AFD)
Area of semicircle is half of circle and area of circle is πr2
Also area of rectangle = length x breadth
= (106 × 80 – 106 × 60 )+(
×
× (40)2 -
×
× (30)2) +(
×
× (40)2 -
×
× (30)2 )
=[ 106 (80 – 60) ]+[
× (40)2 -
× (30)2]
= [106 (20)] +[
(40)2 – (30)2]
= 2120 +[
(40 – 30) (40 + 30)]
= 2120 + (22/7) (10) (70)
= 2120 + 2200
= 4320 m2
Question 9.In Fig. 12.27, AB and CD are two diameters of a circle (with centre O) perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.
![](data:image/png;base64,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)
Answer:![](data:image/png;base64,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)
Radius (r1) of larger circle = 7 cm
As OD = r2 = 7 cm
Radius (r2) of smaller circle =
cm
Area of smaller circle = π (r2)2
=
x
x ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAAhCAMAAAAieUHKAAAAAXNSR0IArs4c6QAAADlQTFRFAAAAAAAAAAA6AGa2OgA6OpDbZgAAZgA6Zrb/kDoAkDo6kGaQkNv/25A62////7Zm/9uQ//+2///bgd/UBAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAUklEQVQoU2NgQANCnIxAwMwgxM3HIMTFA5blZwZTxHHRDcTBB9kCBESqRlImyAZyHoMgOw8DPxPEfQIsEJqXFdm5vBBXgxzPz8EA0sbIyIHLPgA3twIog8IFlQAAAABJRU5ErkJggg==)
=
cm2
Area of semi-circle ACB = 1/2 Πr12
=
x
x (7)2
= 77 cm2
Area of triangle ABC =
x AB x OC
As AB = OB + OA
⇒ AB = 7 + 7
⇒ AB = 14 cm
Area of triangle ABC =
x 14 x 7
= 49 cm2
Area of the shaded region
= Area of smaller circle + Area of semi-circle ACB - Area of ΔABC
=
+ 77 – 49
= 28 + ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAAhCAMAAAAxrgE+AAAAAXNSR0IArs4c6QAAADlQTFRFAAAAAAAAAAA6AGa2OgA6OpDbZgAAZgA6Zrb/kDoAkDo6kGaQkNv/25A62////7Zm/9uQ//+2///bgd/UBAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAZUlEQVQoU6WQ2xKAIAhEMbunkf7/xyYjeHlyqPOygyuICzAgHiZhoeh1QzwdRFZqR5uHsJJNiP6zRwsqffpNg7L74/WwUoSFsDnAKYckPHNf+6WzJUM+9M00Dh73Oj89Z0ytFVu/atYDUxdXjBAAAAAASUVORK5CYII=)
= 28 + 38.5
= 66.5 cm2
Question 10.The area of an equilateral triangle ABC is 17320.5cm2. With each vertex of the triangle as centre, acircle is drawn with radius equal to half the length of the side of the triangle (see Fig. 12.28). Find the area of the shaded region. (Use π = 3.14 and
= 1.73205)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKEAAACpCAYAAABDAl3bAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAACdESURBVHja7V0HWFVX1o35/5n/SyYzzmSSycQUOyp2RAR7712xt9h77L33XrBGY8EudsGKiA0Fu1gxYgEbovQOj/WfdfAlaB79lfsed33f/ZT23nnnrnvO3vvsvfYnUKHChHjy5InnJ+o0qFBJqEIloToNGSM5OfmDS6PR/OlK/XMVKgn1RjqSKzg4GL63buHUSXfs2LYNq1etwpTJkzFh/HhMnDBB/jtl0mSsWb0aW7dsgfvJk7hz5w6CgoKQlJSE5PcEVaGSMFPEI+nevXsniTR7xkz069MX9evUxY/f5kPNatXRsX179OnVC8OGDsXY0WMwZtQocY3GyOEj0LtnT3Tt3Bm1qldHscJF5L99evbCVEHYw4cPSzJrVEKqJEyLfG/fvsWJ48fRr3cfVKpgizo1a0nyzZoxA26urrh18yZevXqJ6OhoubrpQlJSImJjY/H69WvcuX1b/t3c2XPQqH4D1KhaDdUqVxGk7gO3w66SkCoZVRLKVenZs2eYN2euJJ1NuXKShNxS/f399fpefB+X3bsxYtgwlC1VWqySNTB75iw89POT41BJmMvAFSggIADjxo6FbfnykhCrV65CgCCKMRAYECjebyUaN2iAcqVKSWL6PXiQa1fGXEVC3uSIiAgsXrgIdjYV0LRxY+zdswdRkZEmGU98fDwOHDiAJg0bolQJa8ybOxch70JyHRlzDQl5Y8+dPYuG9erDpkxZrF2zBjExMYoYG8m4ZbMzKtnaonaNmsKWdMtVW3SuICHJNmf2bLHalBBb33A8ffpUkeN88eI5xowejcL5C2Di+PEICwtTSWju4Or3TBCubavWwvYqjX379pnFuI8eOQIHOzs0Ftv0/Xv3LH57tlgS8sZ5XbgAuwoV0KJZc/z28KFZjZ+OU8f2HaQn7Xna06KJaJEk5A074uaGkmL7HTRwIMLCzXNbi4uPw6gRI2Tge4+Li8US0eJIyBvFG5b/u+8xdfIUJCYmmvXn0YjPs2zJEhQtVAh7hCdviUS0KBLyBp08eVIa9ssWL7WoGyWJWLiwDClZGhEtioSXfXyEDVUKkyZOtLjVgli0cCGsxNbs5XVBJaES8fz5c1SuZI/+ffvKuJslgisgEyX4oPn5+akkVBISEhLQwbEdmjdtivDwcIskoBZMkGjTshVaNm9hspMelYQ6VoeFCxagZPESePDggUUTUIvHT57A1sYGM6ZNswj70OxJ6O3tjcIFCmLn9h25goBaME2sUP78OO3hoZLQlODW1EpsS71++kmGMnIbhg4Zgto1a5m9CWLWJFy39hfYlC2Hp2J7yo1g8mwF8fnpNaskNNENqGhTAcuWLs2VBNRi88ZNKCXsYR7zqSQ0MpYvWy7PhUNDQ3M1CSOFh8ys8MkTJ6kkNCZYn1GhXHmsWbU6VxNQC5YjMEtIqSlqFklCllxWc6gsi5NUpORLVqtcGcuWLFVJaAzExsWhVYsWmD51msq+jx7M6lWqyO1ZJaGBcdHLC9bFiuP+/Xsq81Lh0aNHqGJvD49Tp1QSGhrz586VR3Rqze6f0alDRwwdNFgloSERJ7Zi2j4sUlLxZ9BBadSggdlFDMyKhL6+vmLLccCN69cVN7bAwECTV8gxaF/CqhhOe5xWSWgobFj/qywYj46OUtS4GDLq17s3J9Ok46A8Sbs2bbFi+XKVhIbCoP4D0KNrN8WNy2XXbnz1z39i08aNJh/LtClTpCiTSkIDgPYgDe8Nv/6quHFRuevfef+JFk2bISrKtKu086bNKF+mrGIK+y2KhMycrlurNk6fVpa9c+bMGekQdO7YEf/64u+yys+UuHLlilRx8H/0SCWhvkFnpEjBglI4SClgGcGSxYtlMsX6deuQ929foEe3biYNH1H9q1njJvDy8lJJqG8cP3YMpUuURPCbYMWM6eq1axg/bhyOHT0qs1lKW1vL0szrJvTeKfhEs4DloSoJ9QzWErds3lwxtk5SkkYeld26cQPv3r6V6q5LFi/CZ//7F6niaqrVkKszSciVWSWhnrF92za0bd1aZlObGiTYr+vWy+q+s8Im1H7PaflyfP2vL1Hwx/zYuWOHyYjYuEFDKWOsklDPWL50KQb07aeI4zqO4e6dO/Dx9sH9+/dlkJoxuvv37uOmWBmvXb2KeyYUMmraqDFGjxypklDfWLxwIYYNGaqoMb0SDknXTp2xasUKRY2LJFRXQgNgpZMT+vburRjxSG0h+jf//gq25W3w22+/KYqE6kpoAOzetUtRjgltQWurYnB3d8dP3btjQD9lmAoEuwWMGzNGJaG+QeX7Zk2ayBYOpkaKB9pU2qgENXCoAuuhgBpgjq1ls+Zw3rxZJaG+wW5K1OkLEnaYqbFt61bYliv3QcLCKLE1U4wzKsq0D0lIaKgM0Rw8cFAlob7BNK7iRYvi7t27Jh0H44FsivNxPQdPKspYl8QWE69Ajx8/ljYhV2eVhHrGmzdv0KRhIxw/ftyk46DwJkmoS/WAvVAYO3z58qXJxud14TyqVq4sHwqVhHoGbZ0uHTvJemNT4d69+yhXugz27d2r8+fMaGb7sMmTJtF9NskYf123Toqum5M8nlnlEw4fOlTWl5gC9HzZcozvn1ZvO+LIETeUsLKSve1MAXYdpU63OcGsSMhcOTY9NEV/DyYpMCTDVKn0QIKyE2j3Ll2NHrLh6teoQUP8un69SkJDwc/vIewq2OKi10Wjvm9UdBTq1a4jG/FkBtevXUPxIkXFqnjEqOOk08b2ZJcvm49TYnYkpBI/A7FLFy826vsym5vZylkx9tmZiau2MeOarC1RSizVYkkoJ9rJCQ3r15cSwcbAixcv5OrLru7Z+jsj6eXwOLNty1aZXq1VEuYAt27dQpmSpaRCq6FBm4495tiKNjvyGr+sWSNFzlkOamjcvHlTts1lZo9KQiMQg/UcTBw1BuGLF7WSTkl2wG2R9R5jRo02uJMyc/oMNGvc2CybB5mlKte+PXtgW648Huu5O/vHZO/UoYNM1cpJ5o7HKQ+Uti6Jq5evGGysrHtm/HLzpk1mR0CzJSHLKuvWqoWF8+cb7D3cDrvKkIzvLd+ckVlcTEFjoN1Qq9TSJUvgYFdJniqpJDQidu3cKZtUG0ImlySn+ikDv/oAQyeU59jrov/iI2o02ttWxPKly8ySgGZNQjoK9WrXxvgxY/Vub1EHu2J5G7x69Upvrzl71iy5eutbaX/RggWShCEhISoJTYED+/dLrcKMTjGyAsYCKUWsb6UHbpVMbli+TH8rFutYuMLuFLuCOcOsSUiHgdo0TRs1knIcOQVX1BHDh6N5k6Z6eb2PwTxENtHWRykAjwc7tGsPx9ZtEW+kmKlKwjTw8KGfFA1fvHBRjrdlb+9LMifQUF2SEoRjwnS0QQMG5Gis/Nt1v/wiY5Cmzq9USfgerD8pVqSI1IXJNkHEatKxQwf079fPoGM9c9pTZtlcvJj9828qPBQrVBjr1q41ewJaDAmJkWIbZXen7CZzsoaF9pUxtG4GDxwoxd+zs+XTWaLnztdQSuWhSsL3CAkJReuWrcTNbZnleBk9y+pVqmLenLlGGevDhw9lV1KqNGQFPIHp4OgoEyPehbyzCAJaFAmJgIBnMrWdzkpcFuRCKMZOz9WYfVEYaGecM7PvyVxBlpUym+f+Pd2dC2grpnWpJMwm0pvUtCaWB/nlS5fB0MGDM6Vb80h4qqVLWMvgtzERHhYmTzlmz5yVKQIO7N9fOmC3b9/+/fNzO+bPXostmnIktDO9Llz44Lpw/ry0IdntiSsp/0Zp5FQMCbWTyovyZgHCtrslCHXK3R3uJ07C/eQf14njx2U/kyePHyM4+A2SNEm/Ty7BpFLah3169pLVcem9Z59evWXH+AQThDmoNFayePE0VzaCc/HzkCFwqGgnyUSbkDJ5DKgPGTRIroyVbCuiUf36stSTrXc/vpo0aoRaNWrARvxue7Gdz545Ezu2b5eajxQTSD13uYqE2ieR8S4SjgqnbBLYrXMXGf+islTlSpVQuEABFM7/4VXw+x9kKIUJrq2Fgc+/GTRgoDzA50rBSWUgl+0UqOTFuJyuST579qz0qs+dO2eSyecq5ijGx7Plj8fHr1++fCV7ORf4/nv079NXbMf9Ua9OHZnKRoH0WTNm4Jc1a3H06FG5A3C1ex4YiMCAgN8vfv1ArJIUzaSiLM0A7hKV7R1Q0cZGzg91azgXXClNQUajk1C74lG5ikJC7ds6yu2wccOGaNuqNcaPHStl4M6JSblz547Yal5LRyP1RaFMEos5hYcOHsSiBQslcak8YF+xImpUrYoFYrJ/WbtWpuWzAo7bUuoJjk+gUkEz6WWaEtfEqk0n5aRY7VPPkY+Pj0ze/fwvf0WJolZo06qVJMtpj1N4+eJljldurrC+vrelnJ1j6zbSNKghnLNlS5bgwYMHRvW8jUZCTmyk+OC7d+2WxOPRWM3qNeTWwO2VmtQ5Bc9lL1++LAt9uO3Y2VSQ4YyCP/wob/RKQXrePI4lRWC8jMnbPhAjhg2TafncFXjz1/+yTq74PJLkQ3nG09Pggux379yF07JlMkpgU7asfF8+6MYgo8FJyBvO1YurEp801sSy9ZXXBS+DCl5qkjXw9/eXdResfvvh23z4x2efS01pFtBXr1xF/MzJ5AQk3rwJksmv06ZORe+ePVG0UGFMGD9e9qszNmgjMnTEBFmeyEyaMEHa3obcpg1GQg6aNg+FeahYwAbZFBl/aoKVJ1pM7IkTJ9C5Q0f8+N13yPfNN7JrvNbTNCX4/kFBQcLGa4NP8+SRymNXhaliapCMdJyY+UMnj/Z2QqJhnDeDkFDaNN4+aN2yJcqVLo15c+fKMIKpwdWRZ67ffv0f/Perr6XHSRuIGdrG9BClUybej6c7TMXi9se0NO4SnCslxfUiIiOwYN58WebAsgr/x/56H5/eScijqIViYq0KF5G6ffTMlAJO3vCfh0lveu3qNTJz+u9ii7YXZJwwbizOnz0jDXZDxNC0r0nbjiGkKZMmoZSwUwv88IP0ctmG4uiRI/Lo0PfWLcXMmRZ0EhmNsBUetaurq17nR28k5KBo5PNYieETxqGUBq2KAuOPBLdjKiXk/eIfKGpdFqXK2KB1i+aYPW0q3I+fkKr82Qnupv59/n14eBjOn/HE4vnz0LFdO/GAFsXf/u8z6f2mzoWk09SlU2d54sPYp9LAB2jG9OkoUqAgVjqt0JvTohcScrLPnz+PKg4OaFivHh76+SluAmNj49BUGNssSv/w+7GYO3s2SliXQuNOfdBv7lrY1WkCO4eqqCxWyPatWmDtCicc3L8PV4XnTZv27dtgxAqbiUeD2otf8/vPnj6V4adjbm5Y4+SEPt26CCeoMhyq1UT1Zo6o3qITvv1vPhlo1pVlzQo/Ztlkt8LPGNi5Y6ck4uhRo/SSd5ljEpKADDRTqZRB0JBQZaaZswidYaG0QkF7d++Wx33thk7ArkexWOP9BD8vc0a7wRPRqFMv2FSphYJi4qtUspcnE926dJGedo+uXeW//JrqrVUdKuOHfN+hXKVqqOvYDY6Dx8nXWePzGFN3nETJsraYLlba9OJ8E8dPkKGl7NQ6GwuM43K+hoh7nlMJ5xyRkATcstlZxrRmCrtGqWDxeYVy5WTzm/Rw+tQplLe2RoOOveHyLBEnooCDQcCux3HYdCsIK87ex+z95zDB2Q2DF2/E4CWbUq7FmzBk6WZM2Owmf+7keRcbbrzCjkfROPgGcI9LFt8/C6ti1pg2eWKG4+WDwlMRp2XKbhlLIU46nkOHDMlRuC3bJCQBeehf4PsfsEbBndg5zvFjx6F2jRqZemLZn8SO3mq7HtjpH40DwqnfG6jB/hfAgdeClJm89r8E9olF1/UtMGO3B4pYlcC0SROFrZc5O4rNenguHGiAakJ94oowUVhXPWHcuGw7K9km4Sn3U8LALqz4UkMei1FmOCs21m1fX5QtVgxtBozFnsBEQSYNXJ4mZPk6JFZRrp5W1mUwdmTWNGK4sjSsV1+2glB6Kpbn6dMo9GN+6axkZ6zZIuG9u3flMsy6XCXLTnBs7R3bCXuta5Y9ubOenjKFvs+M5Tj0Jhl7niVliYAHxEq45V4IKlStgy7tHLOllMWbyywb70veip1jLVjElf+773Hs2DHDkzAsPAz169SRgUulS9K6ubrKrYKi69nBjm1bYVXECpO3HcVhsa26PE3MFAH3BiRh/ysNWvUbiVqVHXKkYd2jW3eZ6ZJgBhV1NHt4upLV8/gskZBL7ZCBg2QW8isFnICkhyjhWdasWg3Tp07L0etMGT8ORYqXxppL/tLWy5iEiTgcDIxdv08mTnBFzQmYrGpTphz279+veBIyjtigbj0ZKchKnDNLJNy7Z4+MD3lfuqT4CaE+SwXxVOb0uJBhkuYN66NOq87CQUnAvsD07UM6MvSMS1Wwx8wpk/XyWebNmSPl6SjMrnTcuHEDxYoUhctuF/2TkGEDLrVzZs1S/EQwoMzz2I0bNujl9W5evw5r4agMc9omV7m0tmXajYdeJ6Pd0Imo4WCPsDD9kIYJDlXsHeQ5tzlg/tx5UiA0s7tlpkioDXPUMYCWir6Rcj78s0xwjdejisKSBfNR2tYB664+l06HLhJyu17ifgtFixbDUWGP6hNMr2Ls8JGCGjmmBVYvMkl25vTp+iMhwxw8SjpqZCHw7IB5inRGGNHXJ8LYo8S+EjoOnyK8ZYhVL/GjVTBRkDAZzXoMQsc2rfUeNYiLi0eLZs1kAqzSQzYEBQlKW1vL8tYck5AfmHUO9IaV/uHpQdKT7N2zl0Fe32XnThSxssZqr0fS9vs4Jrjg2DWUFk7EuTOeBnl/PljMsjnj6Qmlg5ETagRNmpjxCVGGJJQdLIuXkK1VlY49e1xkyn5mnr7sgE5Kw9q14Dh4vFwNXd6vhnsCkuRpSuv+o+HYorlBH1YWdKWYGsrv2ERVCztb2wxDVBmSkN3WM+pipASwtLNmtWpYMG+eQd9n+xZnlCpbAWu8n/5uG/KI7hefZ7AqXgoH9u4x6PuzgWLJYsVlMZjSQf+BWfUZnaqlS0KWEJYVxrDr4cOK/8AUoTSGWGRUVCSq2VVE3xkr4Co85T3v44L95q5G3erVxcNgeBWHFPWGigg2A3lgpslRai+9c/t0Sbhq5UqxulRXdEoR8ZvYflmZllVtl2yTYO5s2NVujJ2PYsQqmCxWwzhUqtNEBraNtcIwZWzGtOlQOphAzMKtK1cuZ52EicLIZ6H1bIXHBWl/Ue+PNcvGOka8fvWKrLlYcOQyjoQxLOOL8raVcN6IdjM7jTIK4PdAeQnEqcGkVzqL6ZlJaZLw5o0bsvaClftKBj1Faysro44zgcoJLVuiw/CpOBkLDFm8ATWrVkG0gWuDU0MqtQpbnQm1So9acEumCEFaSSRpkpANpFmbq+Q+aVz5qHzKjG5jY8bkSahcrzn2Po9Hq74jMGH0KKOPgZGLooUKSb0eJYPZQCyq90+j70yaJBwyaDAGDxyk6A+3acMGWVRlilrmi6ypqVkP849eRVn7GtixdYtJ5mDU8BFo2qhxjlPsDQlGLijIdOjQocyTMEwYvqwEY/GzUkHPkPp+S4zc8TP1+1Plqvv4ebCxtcdlb9Pk/PFMn8JG+u42oG8wQXfWjJmZJyFLIa2ER8NUdyWCNhDrdqtXrWpSz71Hly6wq9sUju07yko7U4EdSCkEZYxGjtnFpAkT0zSbdJLw8KHD0jM2VoMWrURcarm49Op8+ZDwXDKt5d1YWDR/PvLlL4yfevQ0aYY5C/aZ6jV54sQ05yyl/jlcpoNpa6mNeQCx1XmLPPqNi4/LHAnplFA9wVgTS5uBB97Tp06VKl3Ur2GRNUWUPn4QOHldqWHo6Ghy4XDq/X32f59J+9nUOHnihMyyufm+sD/1fNEhGDtmDDq174DRI0bKntFcPc/qOckjPRw/dlzGnN8Gv80cCVn3Onzoz0YbICeKMhNUzuI5Ne0cdj76x+d/Q/++/T54GKhSStncjyfbFGC99f988glGKaDRNeeoe9eu4ur2wXxRcoRiVFUdHKTSKyMK7H3CVhkb9JRvmRlQEID3V1cqmk4SMj2bPeOMCcqgFS1YCLblbVKUqoTh/82/v5JPtzajmOnjVF9lI2wlgEKWP+TLJ6V7lYA7wkwpXqSoMKdSzBTqQbJQ//v/fotLH2XDszO9h4GaBukC4875/vONTnUOnSSsUaWa3BaNCQoyFitcBDaly8gB05BlKcGa9wXrJObaNWuk6ipJmZGoujGuQLFiM4OYopxKGA8vnnBRvYEPLGuC8/7tC6n4pUtk05iFak+fPJVzdVHHoYJOEtLInWVkRQWSkGJFJCLtlmoOlaXkBjVuiLCwMDGu6lLrhmJLG9b/atKLditrPyh/wnxLGt6mHtMWZ2fMmDYN34ttj4VRFJn/8h95pZqWIXr1ZQVslcF4psepU8omIcNCFK/Ufs1ANLdnhh741DJ7hN3YlXB16dRJClpyzFyd2SFeEePq2EnY0X1lAT8L0r7K+0/pEJi6FS3VelmJx9MTxZKQeXJaEmq3FrY/oF2YeuCJSUkytGDyS5OUUo5Ztpz0NumpK2Jc73WvCRKP3Z++yvsvuAo7URu+4b+MSBizXoU6lWlpL+okIc/5jGkTcuKYgPD1v76UtbqUR9u0caP0pvh0K/VIivmWjFca24nLClhzwx2FDzdrhPyEY+Dj7S2FTHPS5DGrYErXt199nXnvmEmI06ZMMdoASbJ9e/dhwrjxmDR+gqzSogfMOCEVTJUKhpXyf/8DBvbrr9gxah+WObNnY1D/ATL0NmfmLElGY4ItPNjr+bmOUx2dJBw1YoQU4lGRPpi98tc8n0rHREX64CJD80qXl66ThBTKpnFrDqWFpp3YvfiPsFnbtW1r8D4j5o4li5eg9089dZ5y6STh7p27pPK+0tP6TQ2e6tCJq1urtnSsVKQN9mcZO3qMzp/pJOElYbCy1Rf1l1WkDTY+ZDF6pYoV5XGiCt1geI01MeyYkGkSvnzxArblystDcRW6QWeKEsRbNm+WnULpbarQDYaymN7Plm+ZJiEPwNnKQJ3YtMEuopTI47/MOqJEhwrdoDBVZXv7NM27NNP7mVbFIzJTp0spFdSUZn2LRjhvTIlilrUSmjUqET8PGZpuBCFNElKTmtXzj9MoTsnt+Klb99/jg6FhYWhQty42KjzF3hTgmTF7Kx8+eCjrJAwNCZXVdjwUV/EhmAbF8+LUKmUjh4+QSaPqzvEhKKzKrfj166Csk5BgwJp94NSJ/RC7duyUzRBTJwX4+FyWWUBMHFWRAsaZ2dCb/QTTQ7ok5FELU5WYiavij4lt07KVbEqdGpSl44kA+wOrSAGzupngcTEDYYJ0SRgvJlbXhOdmaBMCdLV1YJ4jwzYv9NDF3hLAFbBls2YZFlRlKA1HkSF2FvL3f2RRE5QdcBXs17sPOgrbT9eBJhNvaSvOmTU7188Ve91Q5zszTYwyJCE7C/FYaqoRs2qUCt9bvrJJ4/nz59L8na3CkStTsmSuPsZLLVKVmf4rmdKspuJmqRLWaWqJ5JaJZdZy1wwcNabRMxVuQN9+uTYBxOOUh2wjkVnd8EyRkEdU7BVMbZrcOrEnTpxA4QIFMqX+xckvVqQITumop7B0cOdkReSwoUMz/TeZ7mNCCTaKHbqfVLYClCEgbb1q1TFyeObri1ktyNqO4OBgC56ZD8EFioVWFStUyFLHryx1dGJRfC1OrBnI1OpzYimvQQHwN0FBmf471nDUrVVL6q/kljjraQ8PFMqfHwcPHMjS32WJhAzO8ihv8MCBuWZb5qkI65+ptpBVcOsulL8A1q9bZ/Hz9UQ4YowJ8uQoy3+b1S6fDDxSH5pSZJY+sY/9H8sVMCdd7devXy+JyFIAS52vyKgo6TNQ7SE7idDZ6ne8ccNGuewy39BSJzb4TbDU1KPeck7VaqdNmSpjZlevXLG4eYoWTmufXr3gUKkSnj17lq3XyHbnd9pJPNK7cf26xRGRpKMWNDW7Xzx/kePXY35mv9695euxys1S5ot1NX3F57K1sZHSLdlFtknIlO0+PXtJO4AKWZYysXGxcTL3jfmBd/QoEkptwK6dO0t1WYoTmft8xcSmrICSgDlUSMs2CeVAxFLcs0cP2Vf41s1bZj+xFJvs1eMneUx5S4dSQE7BUE+/vn1l/S11Ysxxvjhm1oJ36tBRChzpQ6IvRyQkGJzkVsND/WPHjpntxDJHkMdMFcvbGISAWvAwf/LESSj0Y36s/2WdWYVvOE83rt+Q5+O1a9TUW3ZVjklI0OahYgO1RhiOMLeJZStdVoPVrlFDp36eIbDx1w0oXKAgBg4YIEVBlf7w8p6ynx71Iin+9CqDpolGJ6EWzs7OstPRgH79ZSat0ieWq9KG9etRpGAhaQcywGxMMNxVv25daScePHhQkQ8v7yFlRHgWzvNgCoJmJinBZCQkWLNcUyzX9nZ2cHN1VezEPnjwAD0F8agOu2bVapM9MCT+hLHj5Fkz28iyPFIJc8b5oPdLbWuKKTVu0FA8NIYRUNI7CQkqqTIRlqsiPSjaDkqZWBbeLBdPM52PVi1aSIUqJcDrwgU4tmkrVb7Gjh4tzQKtyr6x54iePDOnqPhKp9NpuZNBldEMQkItKD3WplUrmQZGY5ypYKaaWMb+nDc7S9uPhf2UnjO1eunH4DbHm9+gXn2UER70iGHD5Rz+PmcGmje+Nt+DztmqVauksisVOJiEYYwyVoOSUDux7AzFCnwmhFI6g2eq7GdhSDJqJ5ZtaJ2WL5dn3uwRPG3qVARlIRHBFIiJiZViS+0dHVGudBl5csMCcqqvxot5yykptSKkfJ3AgEC4HXaV+QB8L65+s2fOMmruqMFJ+MfExsjm3fSsypYqJYuCqPDAxjhaQqbXQCcrE0vPbcf2HejZvbusiqtWpSqWLl6MgIAARZNPF2hjU0+QDzEdGCqAsQqSmtQkZWhICBISE+Tn1pLzg+v993nxHvBozdPTE4sWLpS108yaL1m8BPr36SvLM00hK2w0EmrByWCaPNPC2D+PAc/6derI5jlsTkO9ktevX8kJ06SawNQk014MDYUI+5PGvKt4mlc6rZBa0uxzwo5UnGRmwdDGMXfQnODZ84L589FO2I7M3ma+IuOz1M6m+CVbrc2ZNUt2OaDA6KIFCzF18hSphsW2IHQWuRtROYKLwJBBg+T8vNRjuMUsSPjx6ujj7SPVmvr26i2chTJi5aokJ5W9fDu2ay//5WQtX7oMq1aslGfW/H6n9u3lv6xr5SpRQjhBrAzkVsI+HkpWeNUHmNvIoPqBffsk6VhcNXXyZAz/+WfZvosXw06cL8ZwnZYtw7YtW3H2zBkZcjFmSzFFk/BjMCRw7+49KbNGG2iceIJ7i4nk0SDbnPXs8ZNc3ah1x0Ia6gMeENvSFbFCBAnSKWliTQntTmEuUBQJVeROqCRUoZJQhQqVhCpUEqpQoZJQhUpCFSrMnoTJGVypf88U48rp7yabYOwqCbMCTTJ8XsRjd2ACXF8lwOV5PLY8S7m2B8Tj9LuUgG1MTBLOBiUiVI/xWxJDI97fLyQJ0ZoPvx8cloj9YkyXQjTQpPsayfAPTsQB8bs3I5P/9NC8CU3Ejqfi870QY0+0XDKaPQnPPYtFE7dQfLLtHepeisHKR3FY7R+PoefCYX8uJQfO7WYE8uwIxfZg/bAwLi4Jxx7EoIVnOKxOReNx4h8/ux0Yi5YnwvDpzhD8ZV84Jj9K0E0ejQan/KJRRYz90x0hyHskAltfJ/1OQc+H0ah2NByjb8di+uVINDsfjWtRlklDi7AJD12NwCfbQzDv2R/HdolxGpx5FI8w8f9XwfGY7BuLB3F/3EQm62hSXVm5vQFvE7DhehTy7nyHPCejoX1bjSCn+5N43I3SwDcgBoVdQvDXI5G4E/vn14iISMDRpwl4GqvB0bvR+EI8RAXOxEDqF0QnoPrBd8jrHg350lEJ+O/eEPzkl2B+Nyd3kDAZe64IEorVZF5AkiTX3YA4PIwHkhKS8SosAQOvRKH71Rh4hKZQLSY6EatvRKPXlWg4XoxC20tRmCH+IDwrTIxLRIuDIfjf1CRMSv5j+xUrXa9TocjjppuE8ZpUbyZIV3dfCPIJEso2jWJ8jdxC8IlLGBYGJuFtUBxs3MKw5IVlno1bBAldSEKx/TW6HIMFvlFocyYKjxL/IMbU82Fiuw7BipcalgZikHso/n4sCjeFoTXwuNjK90fAPUyDLN1iQZzGH5HwQ5Yloc3RUNS9Hp/h68aHxcFubyjGPEn8/TP5PIpBCUHMPOL7FcW2PPehZa6CFkfCDjdi4ewXgz7novFbqnu24Zr4uUsoNgYJEoobXmT7O+TzSkntP3ydfxsGl3dZtLcyIOGDpzFo6RmFu5moIDjkG4nmPrEITTUETUISVvpEopqrWE3FKm8n7N3flFWNoJLwTyQUN2ruezY8fRWP3+L/+I11V1NIuP61IGF8IjofC5X2VpCwG6edDsN/jkXCN0Z/JNSIrXrFtWhceu/xpvfKEaHxWHQ9BgGpvN8kYVsOE05PyxtxCI9OwkgPruShGKDahMol4f6rKSSc/n47YwZ2fKo7/+v7lXDdqxSL7fmbOIwTtuDP16MxVXif/qlsttBoDR5FZmJrjk1A8/ckfPFBiEaDg7ej4SS84jsRGlx5mQCvt0ngMxEVo8ED8dq/b7qCbGuFbbrjRSLuhSfhtPhdP0HcsKBY/Fus1l1/S/nNl4Ex+HxLCJrdildJqETEJmmw8Gw48ji/w+AHCYj5KApDQi64KH4uvOc50nFJlttcZ+9ojPaNwZS7sdgsvNRgLjLJSRh7IhSfHwyHV0Ta61eCcCpeCGeh6G7hHbtGwjsqGQlyyUuG18NofEmveZew53bw31Ask+RPxtxz4fjL7nAcCk0pVXAWDw/HlWe3uIR3/OnhCFwWD0SSWGWbHA5FpUuxeCueJvc7kfhyXxg2B1um4qt5k1AQcOedaLQ4G4kqnhFodiEK6wITP/iV0NAEdPOKQJVTEeh9Jw4hYgtecF6QcstbfOosrs1vkWercGquxYnVMxnbbkSi1aVoPIxN+21vPI9Dj4uRqHomApXF1flaLK5yO49NxFivSFTwiIC9+L69RzjqXozG7ZiUNfLA3Wg0PS++jhWrXUg8Ookt1+60+D0xdnsxvvbXY6E1Td+FJGDa1Sj0uhyFQVejcTQoSQ1WKxWa5PS//hNvBVHmX4rCCOExbHwaL6/hYoUq4R6FzFalyBjjR18biiBJuUCVOdclMMRFxqO/WKnmC8/l5OsEeAYn4rBYoTY/S4RaoaKS0HhEjEmC65M4LPOLxSr/ePiGq11MlUDCZPVSL1NdgoSnPyET1Uu9THV5e3sv/X+NprzmZrEzlQAAAABJRU5ErkJggg==)
Answer:Let the side of the equilateral triangle be a
Area of equilateral triangle = 17320.5 cm2
(a)2 = 17320.5
(a)2 = 17320.5
a2 = 4 × 10000
a = 200 cm
Each sector is of measure 60° as each angle of an equilateral triangle is 60º.
Area of each sector =
× π × r2
=
× π × (100)2
= ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEMAAAAiCAMAAAAzvJS+AAAAAXNSR0IArs4c6QAAAGNQTFRFAAAAAAAAAAA6AABmADqQAGa2OgAAOgA6OjoAOpDbZgAAZgA6ZgBmZpCQZpC2ZpDbZrbbZrb/kDoAkDo6kGaQkLaQkNv/tmYAttuQtv//25A629vb2////7Zm/9uQ//+2///bA2XHQgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABFElEQVRIS+1VXZPCMAhMPFu/rcaz1do2+f+/UljoXeuD44jjgyMvK5AssFF07pOs9t4v+oGqDJ+6fD8YEcEUcExh7KZD6dpJiStEB450mP9zaLDOXDcrnUKPcKUsJdkunGKuXQBHV/wF43JPtRcKbuSirNzAbeZoM0Ti+lRUnOFgXFGZKlMYu3Sk8n7EEdfnFHa/DRWTxAMcQwn5OIvs/bSJq+MWHYLj3izcHT9D+3PmnuRddDrooUHKsGwKPcKVsvRozIEO+J1rD0aRSII0GE+mcOv2h7/4KgXwZbDZq1r58rxbgXbw+3uudgqyDSwmC9ZkKWxyWmkmji6fNtZxsMdrWyP0l0LL1agJ709bGyYt3375CucZFrGzJLLjAAAAAElFTkSuQmCC)
=
cm2
Area of shaded region = Area of equilateral triangle - 3 × Area of each sector
= 17320.5 – 3 * ![](data:image/png;base64,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)
= 17320.5 – 15700
= 1620.5 cm2
Question 11.On a square handkerchief, nine circular designs each of radius 7 cm are made (see Fig. 12.29). Find the area of the remaining portion of the handkerchief.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALMAAAC+CAYAAAB+ij4tAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAJ4uSURBVHja7Z0HfJVV8vd397/F3qW3JJSQQiAEQu+9995777333pWiqChNEBAVUQRRigqKYkcBKYJiBaRIJ/POd+491yc3CaCu+8Zdjp/nI0nufZ7znDNn6m9m/iI3MC5cuCAJCQlyc9wcf+Q4ffq0HDlyRI4dO2YX/z58+LAcPXpUrly9es3vHjp06PW/XO8BEPGwIUPk/fffv7naN8cfOk6dOiWLFy+WYoULS6G4AjJt6jQZM2qU/btXj57y5Zdf/j5i/vDDDyU6IlLGjhlzc7Vvjj987N69W7JmzCT33nmX0d6ZM2ekQb168o+//E0JuodcuXLltxPzxPET5NZ//FMqlC0nP/74483Vvjn+0PHRRx9JrrDskv7BNLJ3717TDIYMGiR//etfpXGDhr+dmL/44gtp0ay5xERFS4Y0aWXpkiU3V/vm+EMH3Bhizpg2nbz66quyc8dOY6QF88fJuhdeSPF71yXmp59+Wl566SUZNWKk3HnrbdK4YSP5+eefb674zfGHEnN49hySJUNGGdC/v1SvUlXS3v+AdOvSRY7/ePy3EfP3330ng5W9Q7zbtm2T7NlCTJfZuHFjos9dunTp5nXz+t1XMGdGzXjrzTfN6GvcsKHc/q9bpHevXiky02sS89PLl0vrVq3kyUWL5JEFC6RYocJy/933SPeu3eTylcv2mbNnzkqtatUlf0xeyauqyK+6oqOlQL5YKVGkqJQqXkJKFituV5GC8VIwNr/kz5vX7uu94vLmk3gVN8yllH7WXUXjC/22OfzOi/kUL1wkMI+SRYtJEZ3LtebP35h/Sc/8+Zm//afnX0DnUkLnXMq/9m4urDHzSW7+7Flh3SP3PXfhccgXnedXz4H71q5eI0CkXmL+9JNP7HcbNmyQ0CxZJTRrVnlj+/ZfR8ynTp1WpXuwfPDBB/L999/bBXE/eM+9EpY1m+zatcv/uVPGscuULCkD+/W/oWvQgAEybPAQU13at20r4Tlyyj133Cn33H6H3HHLrUoE+aRG1WqqqzeTDu3aSfs2bfVz7exq0qiRVKpQQXLnzGWfvef2O+XBe+8zV86Avv1k1PARZiwM7N//hufza69B/QfIUJ3/aJ1/t85d1J6IskN+1223y31qgcfGxPwy/7b++evFv5s2aixVK1WWXCpG79bPc/Hd+Lg46dW9h67JCFt3nvHHzn+wzZ955VTCYQ7swZ26puxH+TJlpFH9BtKudRvf2vvn36pFC6lbq7YUKlBA0tx3v9yte3bfXXebSlBTmdrokSNl+NChMnjAwBueT+kSJSVHSKj5mBkff/yx/cz9IWYMwNWrVxtxwygOHT5848R8+fJlmTVjpvTs0VPOnTsX+D3O6+JFithLt27R0gIpZ8+elWyZMstDs2ffsE7E5PjuosefkKaNG9vJrFWjhsycPkOeX/ucfPrpp3LixAm5mkyQBnH0rao/u997T5YtXWpEVa50aeOIXTp1klf0BF+9evUPDfBwbyzqJ59YJM2bNpU45VRlSpaSyZMmyXPPrtX5fyLHjx+3eSSZv67tjz/+IO8qM1izarVMmTRZyuhmQhwd2reXF19c9x+ZP8/An9uoQUOJDM8thQoWtLVcvmyZvPfuu/L111/L+fPnk/3+GSU6vAwvv/yyzNF9r1urlkQoc6laqZK5b3EaXL1OgMM7Zs2cZTT0s9IS64qNBmfOlC69PPH44/Lc2rVSplQpY6LXckAkS8yff/65TJ82TaZMniyvv/ZaYAGwLOfMmS0Txo+XMaNHmz8Q0QD7n6IbeSOLyOlbMH++iTd81xDgW2+9JadOn0r0ObfgvBwXB8w2+WpC4O9ufKfE/czKlWYowGUqlitvRJ2SC+f3DA73SjWKEcMRucKldcuW8uqmTWqY/Jhk/im+Q9D8+e4Lz78gDevXV4kDVywra5991g78v5uI8dnCBPAMQEBVKlaynyFeN6fg+TPv5ObvPs+e7nrnHZMoqI5InaFDhiS657XGpAkTjYY4PET92Dve/9k1a2T9+vW6Ns/LWiXozz/7TK51t2SJ2TsB7wkLnpgRp6ojIZmzXJeY+ew7+sK1a9a0z/ft3VveVQ4QzC04SGtUpEyfOtVEIcTeqUMH6ahcq1uXrjJS1QikwMZXXrEQp5eL8f9169ZJ7Ro1zY2IqnGjC3ojhPDpJ59Ky+bNTQQictnA4Pl/8803sk4Jc86sWaZGoYYw/84dOkqn9h1k2JChMnXyFFm75lnZv39/Ei78snIlVBEMbVSwQwcP/tvmj/8W1SHN/Q9I5QoVjeNd9Btebv4Q5o4dO+SR+Qtkwrhx0qNbN513e5s/e8C+QXzYUUSEzyg39RL2vn37ZMSw4ZIzNMykDYf0evN3xMxB+z3vekNBk2uNGyFmJsjLh+fIYf5COJn3sBw9clRFzUzTxdC94RgxkVGmykCQnHjC6f1695E6KtLgvhG5ckk51evY+OdUNfEuBKoPBmukcs4KyqV3KOf/PYvEd+ES+fLE+H2d6+TK1SuBv2E3QBhtW7WWSuXL20bmDAuTerXrKDF0t7mbHqy2AmpVXjWSEJmoJnDjh+c8ZBzJzfHCxYvGLaNzR5ih9ZJyp987f7hbHpWE+G4fmjNHfjx+PPC3i/q8N994Q9d6gFRXXb9gbJyJeNS3rp07y1CdO/MfPHCQtFPduayKfPa8SHy8ScOxSGlV+7wHc+fOnVK3dm27D6rHtdy5XmL+PeMPJ2bE8oRx41V5f1D69OxlurBbREAkGGv58uQxK7lJw0ZqZD5t1uyPP/xgixy8KSwKagXcA3UHQyU6d6RUUqJdrTroyZMnAwuKkQoHQp9b/+KLv4kg2KB58+aZFd22desANoB78S7ocBgwsUroEOe0KVPtubg1mWuw7nj+wnlTK3jHp558Upo3aWIHBLth/NixctDDiffs2WPEjth+4oknftP8UQ9mqC2SKV0GXYsK5ury/m3L66+r4VZNIsLDzSMBwb6y4RWTCBzSYFUNm4XfK+HIiyoFu3bpYnYUBnnnjp1UWu36hano+yOd8BG30YPO9/60xIwI6tenr4lMdHBn0PmMv8dNb+ZCnH2m+tBvGehx6Fh4CPC0cCDefuftwIJ++823upCtjCNBeL+GICDEMaPHSKb0GWTE8OGBw8U93lBOxjN5d4h808aNv1lH590R3w/cfY+5KVeoTs57MTicA/r1M2mFtPm1858+bbp5e5AIRzwHEWLs06uX5FApUkvVMp55/Pjx3zR/pMrchx6W8LAcEpIpi0wYO87ULTfXRXoQM6ZLJy2bNQ8wsz8VMbOQI0eMkGyZM5uK4Rbxq6++MtGVSV+ut3Jq9MbricjrbSB/RzdNe9/9kkYJIiYyUh579NEAcbFIIK5wH0H4N0IQfObhhx6yQ4D+7owxCJqDiaEGEbyunO3yNYj4Ruavn5IndcOz6KFPq4SXQaUY82Wt3DOHDR1qf79RDs1nZs+abVwRPd8ZqPwetQVXYF6ViE889ljAJXat+V/vmTgDUGPSPfCg7sHddtDfefudwPcWqxTKqCoHjOX0mdN/HmLmBebPnSeZlaM9tnBh4HcYTFUqVTK1YtUzz1xzgZwawsKjY6NapPT55apfZlGO0HjkLCldv5WkUQ6dJX1646Y//fSTb566Yc2bNpPcOXLqIr993fdifkiU0SNHBX4HV+mtRJY5QwYZpyrBtRafuf7w/Q/mDdrw8sty8EDKhtynn3wsBVTNqtCml9TpNdLW7UE9lDWqVZdP/EEDXHr9+/Y1TopqcL2BWpVejeAGdetZjMDucemycVC4fPMmTa/LSDhEqA0vqo1AvOFSkNrnBjZKswb1JKZ4BWk2do5ERMfK3bfeYsGhDR7mgVqF7xjD3ivFUjUxv6l6GYGUAf36ByaN9yE6d27TLz9Uq/p6XAWDpVjhIuaVSKPcqlrlKnrfN5J8Fm9F0fyxUqpJB5lz6KpM3H1cqncdosScUcX23WqwtAkQNKKvvBqgcI1riVT83LGqw3ZRbu848rfffitNGjSUHPpeK1esuO66vKcGUZ2atWzzcPajTmHUJaeD9uzaVXLmLSBj3jyq7yDSatoiyZkrUg/lPeY6Q3e2w3TyhEmDooUKm2hPaeDCwoDmc3v37bXfYbuMUO6OQYY/+WdP/CC5wVr16dXbiCztfQ+YwT1EiTA5NeFpfa8MadNL10UvyYLvRPquflMKlK6kat89to4bX9kYIGhUSrj3yqdXpH5iBiJarUoVvaoGJkdEJ05fikhRlQrlbaGuNTBSosJzSzoVkRbC1IsIFf5j73dZoFHDhkn28CgZ8OL78pCqhLMPiszYe1HqD5os2TJmNIIYrhzaxf537HjLNmas6sLJcUo2vYYaRCWKFpWv/QTDO7VSfe/eO+40Ufrm9jeuKVXghLWq17A5szbMH4IOzZpNtm7ZGsRB10kW9Mmpi3zz/+KqPHREpP3cZyRXeKQ8qGtWWw+FI14j1Khoc1OmNH90Uw6RN0YwZeJESXfffar/p1fimXDN+XPgxowabcExpBPzR1oQ3SS+4P3uUZWeJQsVkrItutq6z/7iir3HiNf3S9Fq9VVfv0eN23yyeeOmwOFtpkYvgZoDB75IncQ8bcoU+3nG9OnmgnM+ZDhgpTJlJTyuiLSeuVgi4opKlTJlLJqY0pjEwuvp5QVxYXFl00XNquJxhYcrEkXLo1Z4/WEzbAFZzBmfn5fZB0Rm7rsodfuNk0xp06pYzWTqjtsE3IDZQ0Lk7WTUjSVqJIYp98VSZ1y9miBD1MLPmDGLNBwxS4rUbCIFYmJk29atKRLEi+tetDVBR3fz50Knx7p3g82rpoc7vmoDmfLRTzrvqzr/CzJr/2WZo8vT/uGVkjNnuEmm7sq9nZTAkOVgvKiqRPDAo5Pm/vvNM+LG2jVrJKsemCod+0vD4TMlm3533OhRASMzeCCFYCbB809z7/3GqI573HrDhwyWbNlzy+CXP5aHVKowf/bhYT2QI7bsl/iyVeW+W281w5bIIGPPnk8lV/bs9k7cY+rkyamLmGcrgfzww/cWAcLv6HSuAarnpU+fSboselnmf6si6NmdEpo7RqqULSuHU0iBGabiDHHoJWYTd8qpCX0y2NjWTZtK7gLFZMKu75QQEnwL6b8Q11M+/knKNGwjD955pwFanK6MqKygz69fp26iDYUTg/Ho7uF6BDdwK9YZOFHmqj025q0jElu+hsRGRZlHIzmCxutAloSXELhQmbqq6uK+M3fOHMkWml16PbNNHj4qieY/Uwn6ISXopmPnSqY0afRwPyALH3nUvkekjOAT9sepUz/9shdqFxQvWkxKFismx/wS7AvVizl8sWWry+QPTtghqT98hur9mVIkaAxPYyDKPLzzh8FAzE4HxwaKzB4mdYdM9TGTzy/+Mn8/Qfd5ZrtERMXI/crlgXA6eMRcNa5DdE+R2rN1T1MNMTMRJgc2oUBsbMAXu+X1LZJZOWPtvmNV/CQYx+EF+631EXRlJSj8mcEDQ4GN9y4mXgWCIIS+fUS2WrLpIeq48AW7p3ch3cXhGf7aPonKV0Du+PvfDTTjFnPZ0mUSpvN+bfNrgefOnzfPOPbHH38UUBdKFoqX/GWryeQPT6oKc9UIbNT2Q5K/fE0j6OQ4NJucR3XWDKpauPlz4DmMs2f5DuPBAwekYF5dg86D7L4z915KMn8IhN+Xbdha7rv9NkOrfeE32rZv3WZrQhjfDXAMRPd4D59UuSp9enSXdPq5/s+/Y+rLLFUDuJBmmZTzjh8zOsn8ORS1a9QwSeIlZtREDEeYFFeLRg0ld8ESMmn390mYiUkYfc78YwnSYtJClZDpJL0eyFXPrLJn4HIsrtyaCC8RUWysVEHMAKkRGaCmxvi5MpyzTtUqElmwuIzd+bVxykQnds0OyRaeR6qWK2teC+9AP6xft675R1lQ/o/O2d9vULIQZZX7lGjYVqbvPWeLlmgR919RTpcgo7cfljoDJkn2XBFSJC5OwsOyy/PPPRcQ8UAe0S8ZP538yRBZPbt3D2zutMmTJEO6DNJtyaZEnBMiG/PmESlSq5nE5skjLwUFZPj3uLHjjNgeuOdeI2IIoV6dOvquX5q/vW+PHhKSM0JGbvkisDaJuNqXKn4/Pm26c8588RKXJ0Zy58hlqDQn9Zo2bmIRUdYEbk30joghnh/G2zt3SuY0D0rdARPsGTP3+Q7MbD9B1xs6zQh6wpgxSTg0UU4ImPnDkZE0efTwYsg71QX3avu5q3xrs/diEsk4S9WmfiqJ4yrVkTy5I8woJULqXIHz5s61PQB+EJU7d+ogZjCsRICw2MFWMNhgOGurGUtMPM/cGySCvkTl2CGhEapylC+bRIc+dPiQ6X0QG/DDRx95JBCyHjdqpISG5VRus8u4TeC+ulkPH1Zj56PTqp8vUT29qMTkzCkPzZ5jmIHWLVqZd8AFP4jsFY0vLF/qYdqmnC57SKhy6s32NwIMJQoXkmL1Wpkui1RJxDV1unDrUk06S7YM6eUZ1eW9BM1hXvzUYsMzAAUFr3Dg4AE/V92qBytMmk541EfI/rVhXTBg4dS9V2yVgpXrSmZVt3p27WI4iIWPPmreAbwtPv14lQV09u3d55OCSpgzZ8wIzKG1Pjd3/iIyatshvxrg5ZpXAxw6s9oj45Mh6FeUcHt272F7QCLpa36D8sfjP0r5kiV8zERtFJiHlxs/dCRBRry2Xyp36C8h2XNJ9YoVZPOrm/V61aQrEsTWWNc9Pq6AHXoiwKmCmJkInKdd27YBB3uzhg0le2Q+GfLKJ7rxiOcEs9SdOmAEfdRH0CHh0VKlXLlkjUJ8mF702IcffiBRSqDVe44KeC64F7ogRIeOFleprrnQunfqKO/v3h34Llw5Qr+LamD6pBokiP/FTz0lgwcONCyBU0OefPwJ5UZ3Gmfkvsx/zkFJpA74CPonJehOki19elmtIj9YZAPk8W4S/2Zz0WEnfXA8YPQhpufoM/AClG/TS0JCckilksUt582FxL9WXRZvyky1T5yhBtZl6tSphnBENdvjJ/S9ylRyZMooZZt1tkPOvY1beg6lI2g4NAdhojKP5GwAb1CFv48ePkyyhWSXAeveszVwRiuMZPL7J6TRmLl6iApJ3ly55JF5cwM6Nt/lYMBQ3J4O0nXH65NqiBlcAWIILKwt+tdfW+YIXCOXisiq3YZLn5XbZJK+KOJ/zqEEI8CAyrH6TVU5oqVa+XKGhEtp4NZp37KF5I4rIuPePmYEwGbMUZE8YvNeqdRpoGTOnE0PRllZ9/xzSfDQ+JvBT/Tv189+hhORSdO6ZSuztsf5PQA8p5uqTXBFOEsJJdZOjz5nqgVcc65ynpn7LgcIeoqfoEMyZkjCoYPHwvnzJIvq6k51MWmi95u0+0dpNnGh5MpbUAqq6vLwrJnJRubATlRUAuaQM3p07WauuqqVq1iAxBEJMFtsgmx6xZatIc2nLpLhr36uh/+CPS9wiCBo5az11IhzBH2tiCaAotwh2aRGr9E+1UUPNwcdg7X7ko2Sp0RFyakSbuiA/iqlk0IU1qxeY0ArgE2Owdx92x1mD6QaNQO3mfMWkC9I6tMsFXmTxo2TSqVLSUbVPQtVqS/1Bk2WQes/NI4KUcPtUEPwcoQpJ6+uBI34SY4gXnz+ed2cLNJhnk9PQ6+EkJpNeVyyR+SV/BG5ZbY+E0CLgzQGQyzhwHgBHDEQqQQIjorkImtG9KVKWUh53pw50qR+PcmihmxkfAmp3n2YdF+2WaZ+ctYnbfRAcSBN5Wjc0VSO1SlEN1FdCsTkkTItuplUQdWCCLo+uUHyKacOU046WA/aZ3s+C3Cy4PnDqWESROYYoPksxUi58rSpUwKfY+4EnQgjd+3QXvJHR9v6lmvZTdrNWy1jd3xtQaY5JhHEuLQjaPbsypWk4PrzelA6tGop4cqgxu84Zu8Nxx/80odSrnkXyZg+o9SvUd1wKinNHy9LZHi4TJ7oi0ugMuHKhYZSBTGDSkN0/PDDD/a7GdOmGwzSTQ6D7vm1a6V3186SJ0d2iYqNl6J1W0rLWU/LmDeOmIh65PsEGfnaPoksVFLKFy9qPuRgAH6pQgWlaK2mxhHgkN2eekXiKtSS3GqA9lOdDt3RLSKBFwA6WMsQgIMgkh1RuEC83d9+Xv+SpTsVyJc/IBU+eP8D87Gu9/tx4ZBvbN8mE0aPkmIF8kvuiDwSV7aa1Bk8TYZu+FSmffqzzPsmQaZ/dsF06JAMGWSN6rPBuHAINWee/OYNmftVggzb+KmUa91TQrKFGhE4fZ3vffbZ54YJwV5YMH9BACTE/8uWKm3gHSOGTz4xQiBz/tk1z/qITo1BopzAZ+1+eqF+PKoiv2rZMhKZO1JidJ0rtO8nvVUtQ1V6SBnD3K+d285H0MEH8vm1z0qoqm+dHntBFnyXIBPf/UE/P1NyROaVQjHRqpo9HkDGgQXBH95GpR62D0Tr7kdCA6lYqpDaXIHxAjNIFcQM4ZKr5wwIPAI1qlbV053YoEDsHz50UBYtfESa1KtnCZ9ZckRIxU4DpMfSTTJtz1kZoxwjpkQFJZo4ee/d9wLfnTpxonLfPMoFPlKD5oCUadlVpUEmaVi3jhoWmwIZCNQjm6fcFg8LVjjeEKJY+DhZuAMHDhhnI5+RgWFI2hOSxIWa1z67VooWKhQII3sH0cB1z62Vjq1bG/QxRHXHQrVbSJvZy2Tczq9lqhJ2uba9JbuK99WrfuHQW7dskVDVz1tMe8q8FA1GzZGsoTmlRHxB0yu96Wnbt283zwqGEZE8fO7VKlfWufvwHSADe+rhZeDZIesFny3AHgaYCzDHXredGxzqd995W4b06yulixeTnLpOkUVKS6PRD+vh2iMzlLE0HjdfsmbOKpPHjw+sCYyqRHy8lGzSQaap0dd54fOSp1g5iVYuO2LI4EQeqa++OmoRUNxxeKLYB2CuQEsZJFcQIT558qcAvXiZ3/9XYjYcRn+PHtqipVrvw675PRZpl6olY0eNkrrVq6p+mk5iy1WTRiNnS5uHnzErvEShwsahICrASYjnJuMXSFh4lP4tXp5YuDDJApC/RqgUY8gFXSAGLqJjzI97uYgl+j2cDmSZG3gEANY7TEdK44AakI8tWCBtmjeTXFkyS86YglKj50hp/8hzUrBKPckREmJSAZWmnnLevKUqS8uZSyR/ueoSpcbR8MGD5Msgo9c+q4YoRIBx6oIXEHXnjh3tMx3U0C5dsmSAi1u2t6oUzoBGKuElePONN685fyJ5GK19uneTeGUs2cJymsHYauYytXOGSQ5d54lK0D8pt506aZKEhOWSxrr+5Vr3MHuibYvmsnPHjiT3JQqMUQcTsYCXvseD99wn5UqXsYAV2TQF8+c37DaD7CE+l2qCJg5dxmZQQgkRGTxSghOyqJs3bZJBvXtJnOp2MQWLmugiWxs8BhnZ6Ny5YwqYr3KEEkFKhiLuqjRBzn4OG7gK8BgMajDgKmOA9cAjACLNjYEDBkiLps2SgIK88w92wwEsmjF5ktoHJSVvXLyE5y1gHh7CwuAo4NS59J2IhrVq0jhRypV3cHCRFHDl4OghBIBxSpIDBpPDm0DIZIM7ENCzz64xPdR5Nq43f+PmKqGeXrpEGuihi46MlnzKdTNkzGzPJdWKUg5Z1LiOyBMrFUqWkFV6CM4lA1Zi/6mABa7GO39oJN2DD8ru3e/JRx9+ZIfVHQSSelNVOJv4utOPSch0GGY3EEPgI/gc/0fcJ2ckfavEtXzxYmnVrJltEhwVkEsWvSqULp1Elw4eGEQP+MsheImZg0HGiyNmh5FATBPswWByA10bF5L3KejNpEZNmzzFxCTEmNw80Blff/VV6a66ennlRDwbwoS7RubMKUufevKa84eYKbWQHDFTpwJVCVciXhlX969E8eKWcua8H/PnzrUgkwueOELGF00GPJwTL4Izgr2Dg/nhB+/LpLFjpJoaynkoy6ZzMZyGEtzQQYNSzNpmQOBEWpMlZlU38Jd/rtIWHX/7tm32nVQHNHLEDMcsXaKEhaTdIJBSpWJF41RsCv/nMx9+8ME17/3RRx9aVCtjmnQmstAbJ+gib1P9E66UHFHAjfBZsnAQEHODMAC2uzplpCI5Yob4gGp6iRnDCWJ2rj30RYIG3JNNQg/H6CU743pinEwbCCujvjfRuUF6bxJejx//MVkOCYE1UYMI6ZIto2/+vDtRRMQxAxcoItv5b0sUK2bE7IyveQ8/bM/0FrnEYHS1KHgPvB8kq55JhqDduHTpon5vkYSFhBlTCc+e01ScRcqMDh8+lGJJBMpUoGZwAJg/+8DP1dQoZY7sO0Z3qiRmJgJk0HGwBnXrBtQM5yi/XwnYwTldmJQ4f0qpRnwPvAeWOsmhLEqmDJklTEV13phYqasG5lNPPG6BhOBFXfH0CvNlhqoRw/cwBsepdU7kD50ZYnaEQeABVWaA3/fsODNqRgBUvujJRDqgIciUKCj2klK6F999b9e7BmhiDmSmQNA58sZLnnwFpGyJ4jJ+1AgVuR9aAqt3/lj+HDC+Z8RgqVltlHh/8B+2AXowCgbUjOJFi1pI2On4ZLfzzhi37n6shxcrAqFxyCmuktJAyrZo0kQlY3qJyh0hWTNkkMzZsku4qnvF1EDuqkb/65s32wFMVDpBD3GnDh3t8Ng7ZMli2GoXrEK9AF76pr8yEW66VEPMPiB+P/9pvmThWyrzOJ2U8lXpPQvpjLICeWPNAAseEDj46KxZsknatOlNZwOTEB4eIQ1GzJZOj6+XgpXrSWTeOAPrDB84wLwFzr/sNhDpQAiY7GzHZU/rZ9A3AYkzQIhhALZp2TLwfCCoGIBODMOp0fGCUXDk7D29bHmyhPyaqhpF4gtLhgyZJCYi0oIYBWNjpWidFtJrxTYp16aXRMbGG5G3btLIkhFc3hwXXBfOP1e5LDUkUIfcwLVVtHDhwM94M5B0zo4AjFWoQEF5++2d9jMqH9wxGAXH/FvqXqVEyLWrV5cM6TPpu99vdTBaqO2CYU7Ap/6IWRJTtKzkyp5LalQoL4/Om2eFYRxj4f/47cFf4Dki59ANit9QM8VBH7BlUo0BiFuFugou7EqOH0AhR8xE11AvvAsJV4CogjMmuAduuKx6Umv2Gydh0XEGyiG1f5gaflmVM+AbJdACIJ8gTHSx8sa9GtSqKQ/NmiVHDn+ZoggEpQeHda458BKIf1QTx+kgIgjcuZsGDRiYLDET9XxmxcokhAwIJzRTJinVtLOUbtze3G9IheeUKEOVoOoOmmKR0FFvfCnNJz0qRWo1VamTSSqXKSNjR42UnRy+FObP70lOba9c0alJeDNQe5zahrSgZIMDVfGucEcvMcMJwSfjFgseAO5rVK4k2XXta/YdLxG5I+XNN7arFPtOShUuJIWq1pepn56RaXt+lo4LnpWyzbtK5pAcarxHSf/evQ2Xg+6ckm0AgVu2j99gtcRa5eKpgphxeONXdtY0XI/FdT93aNfeNp7FhIvzf4iDumXe6o8G1J44wQw+nPcD138geeMKyZpnVgY2rmXjRoY2G/rKJ/KI2jcAjca9/Y10fmK9FKnbSok9zERgDzXA0K2DC4uA+oJ4XdAE7sFc8BSgcvg42w4Tj5s2bQzom2RZkIrliAFXE75gBzh38/cRbEYp3bSLjH7jiBSq1lCGDegf+AxhasR2q+lLDB457ytw12ek75o3pXKXoRKWO8ZUq8a1a8mqlSuMQ3t1a+YIISx85BG/PbLXwEcYuI54WSdslOFDhwWIm3p4pD+FZckWMErDsmWz/ETv/HkfOC14mf7PvSNVeoyywpin/RWntm3ZKuGhoRZwmfnFFUuTAm8zdMMn0mj0XIkqXl6iIqOlYqlSMnPKZNmn3BrVzrsH1Beh/oaVOcOVq5IGtShVEDPuMmo7fPLxx/Y70nXANW/360SIfFxH6GwsOgZIXRXjLmzLQKSPHTlCsmbKInUGTrJoVO2Bk6WQitDvvv3GwzWOSqVSJSWmZCUZt/OYYSPILJnjR4UN0UWt0Xec5CtVSXKE5ZKKJYvLwgXzDXgDV8P/XaFcuYDYfuKxx01/xB3mDBIIKC5fvoDeT6CBvDkMMg4lV379vDco4ePIqy0kXbxBW53LzzJo3W7JoOqUl2DwBPTs1lWyZQ9XdWOLDydBqtSXvpDy2LeOSoupTxqGGjdY0QJxMmH0aFOVLl2+ZPmVZJls888VAmbtOVwkq7rRqnkLMxJdIAv8NkGqB+6914o1wpmpO+KwHMz//fc/MPw2qsSg9bst1B4eW0h6demcaM/x7wMrqD98lq79FQvpsw+WEPHhSem6eKOuQRtTowCFdW3fVjZu2GDMjYOWKyyHPZtxWNUP1h4aSlVAo5X+zcUAAHjt9d3iJsKlNHrUKIMAOi7I4CV6dO4o6dJmVLH7mMw+eEVP/SWJr1xX2jRpnOSZu3a9IzEkxzbtpOLubAAYTljcsBKqOk58/4R0fmydlGvRXbKqXlc4Lr95EvD7gr12IhsfMAXU4czOw8HGUn2IQoA/+/VmiILw9rgxY2Xm9OlmuHkJmVBvmKoWJeq3lckfHLfD2GD4TCPG4KYyeEfq16ol4WoMDn75owDyDNARhA1mY7pyuz5r3pJavUdL7gJFJUe2UOmq0gavBS5L56mg8mkuVfMIolDE0Uk6sssJnOz2oAZBEJIcgLFODbernrJmqCjFda48a/jmz43j9l79psTEFpCX1iWtVj9eD1j6NOmlw/w1diAdcAzQksENdB+GbvpMGo2aIwUq1baM9sb161kkFtejYxysKZVEUx0ElHi705txSQG8dniNlMbPP58zqGZ6JeQ2s5bbRiJ6B730gUToyV6zMvlM6DW6WRmV09fsM9YHZQzCG4OmMxy1Lu7wzXuklnL7Bx5MZxa5w0Bg/IFhxsgiuoZHwAUCWGRCxM4CT2lACPiOIeSSDdsZBHKuHiaASHlKVZE+qpMmVxFzv4rzIrH5JG/pKjLhve+TAvQNTScGAhqj3LrjI2sle1Ss/Ouvf5NpfomB94Ks9ZHDh5vRii3g8CkwCyKh467TVIn5735vtxSPi5OIAsV0rfbac1m7at2HqYGdJ9lMdrK7u6jenk1tmL6r30iCl4awyQnkXpOUW/fRz2C03/LXv0hNldJOIhBsS1UQUEpToUeiWjir9T3lAqC5nvbDQpMblG/qqSc1fdoM0nrmUj9664px1iZjHpLwbFktuOJdeK/uNWPKFMmgKkuLKU8Ygi4428Fx60e+F+m+dJMVIalcvkIguPDUk4usfhw65asGHM9tZb8YJ04ct8gg1YpSMmTgbPMeekiypU0rFdv1U933tB9XnWAApBw5wi0NP5h43CDsnCdnDgshWyJuUMaMIwoIa/yu7yUyXwHJpXruO/7oIR4QDiNqHMB39GDcmW6gUmFkf3n4yxQJmTJhJeDIcUVkmHJSlyE+5ZMzUqR6Q7U9OiT5jnsHpG0tNRQjChaXkVu/CEiYRJc/EYM1KdukvaS9+y5jHk5C4SPHzZlqIKAYe0R9KqvRMdlfcsBcdE2bmcuIRNfg4VMtOkn6dHDkZT5CVi4KJ5322Xkp2aiDtFYVw2WFIOYJomzatMk8ECwozxig1jNh1u7gg48kzmhxoPdJu49LkYq15IE77wzkoHFfDCmMUKcagdmg9p0b8x6ea8bS9u3bkiUECDlLmjTGwSxLxK/usKlNxj8qxchI3v8Lkg8sAvMH6ea4NXBR83AMmWZpRrP2XQ4i5kvK4RKkTr9xcu/tt0sPVZFciVyqi1aqUNHe5ZRyaeruldL1di5FCsiQaT5l4qRk508F+mKqfkWgWrz6mW/99JkQ38AX3pOwXJGydtUzgc9TbJHv4Cd2blAOUoG8MVK4ZmOZuPvHJBJmhv9+3Z7cYB4bAF1f+d2xjy18zMLk+PlJOkg1QROiPlR7xFPg/J0AuVlMQD1ejvSD6nudlONlyJhFWs9YYpvv1AQWY9SWA5I1R4Q84k/MxEWG9YtujvMeBzyls7gnohYEHiCfYZs+TSzuEHXKsZuNX2AJofXrAB46afcEc4sF/bxyNzcoQUAiqgP/QBQcUDJQvKFfnrtAuUuWNA9KtW5DZQa6rp+QUQ8wnApUrG2wToepRlcl0IF/FYOnd8+eAU/FxPHjJEuWEGk/f7VJGO+BdMkLoWrMRufKaRgQ03/ff98MV1Kz3AAgBXdGX3bzpIo9YPnPPcEdfv/yS+vN7iigdsmYN770cdW9FwJZO03GzpP8kRG6lz5sOWoXRSjxipDpDirO4Us2bXzFPBzl2/S2NZ/1xVX//FXaHEywwjyFKtaUNHfdJY8/9phf8p2wg0eZX2IKqcY1hxtrzqzZpoNSPorYf8BQGDPOXHEo/CwKfuXGdWpL1tAcBkpPlMpjgH2Rdg8/I/l00T79+GPjQIRd773jLgtrs4GEdkMyZ5blfl8xzveiqvOBuhu/61sD/HM/dNd+a96UMBX3+H1RJRjoxUQpK3gyNpwOjbsNw9UdPsQ3Cw0xOhE7zwg5jY+QPRzZJIFu3vDX9ku+wiXlqcd8pckoEcC8093/oP3fqjSpaCXQBKFTeouqRllDcppu6bLNAfBPePd7KVq9gdx3220y1Y/0Yw5IPbwVXn2WtcVNB9E5tyhBqdLFS5hx6FpGQ8jUG4lXNWL8O9/6n/dLMvC0PeekSO0W0rF1K7sH+G7chbgwM6fLYAEvbCTWD2JnPL5woZVEaDhytq3BDJUoPoP8qtTtP0Huu+MOaVSvfiBKiRMAKC4wX2gnVWEznBsLYwS/M4U+3AkkK5layhheLVR1yBqSXXouf80n1jxi1YnqUs27SeN6dc0HiZ8SDuoNJXMRHsf95AwJnPrhqk+WbNjeB5ZXSTby9X2Sr0hpefCO2xKh+JYuXmLWdXI122hrgDQhs9kNIlS8EyAmPBmA76t2HeIn5KuJRCr6bavpT0lO5VSsAcRKDeNg8FOmtOktudPBIOHSZLMD3mfeeEO4f6U2PeTeW/5lUsURKAVq2PwlTz2VZP64GgkV8x7uQOIaZP1oTsp3Y5WzFqreSCaoHh6s58IIRmzeZ1jrJ/xclDK9EG8wcOiBe+7TtfRJBt5zokrmzOkzSocFay35ACnTdtZSPbzpVI3IHZAqBGWQ4GBQfPefkjrLcx1TTlC4QEHTRR26ikIfhePjjTsSgibp9KFk9FuMv/Fvf2Ox/wljfFgPfNZp/WW6ElUH0t81a9wk0QKsWrFSsqVLo/rlBMtaiS9fXR5QjtDVD8xngErDMCXqlFwBFHRBynPhlnNcDz8z2RDpqbIUml2ajJuv+u0Vf4KuZ/4czP0XLYWoVsUKxnHR60nTCq5BAYeGmL1QUMLBxeJiJb5KPQP6N1A9+v47bpeyJUoGMCAYcyQOsL7JzR/jlv4wrJe3MwGHEI6agwNfv41MfC8Z/dYvGVvPetr20KkmBF/SBqHgDFZ7513y8Jw5gWcg8Tq0aWUpbANffE86P7rWClqSSvacP6DDAQO0ha8cjs9I1YUTQacRxUMHddwByzvTg2kkrnwN26i5RxOSEDNcouPCdRIXV1CNDF+xF4qlxPgrvnu5ApwCpFtwp/uHZ8+S8NyRkjsmv6S5917DHriQOVEswuxAKa/VUJzABKrRwP79AgTDIShRuLBksnD6NuWcCUncgeQ0kvSaK7awPOTPoL6acFXatmljaoX3QKJqgKkIxqYgLQrQgqx4BUmvHK2UWvvoxz4j+JJFUyNy5JLPksmCcYNcTJ6Fvk9ZAGdwt9d5gOumzNicw1eVCyck8ZygIhSu21JqV60akHqoBPfddU/icmmZfFhnV8bMq6rVUmYQHV9MsmYNtbJgVHhyhPzYowttL12hmlRPzCaaTeRksA6vjqDJi8ul4pd0mwHPvWOb79U3UTsqduwvRdTCdi+G+HpcRScvy+KxEHA5MpJ3elQBt1gnTp40qOhdt9xqPUFcmSqQaejCAHsAJV1vYKiQpEu9Djd/JEzZ4sUkNGeUpUk5TuaKq3AYuy1aL9l1s70V6gH+oHMS+WT+oOfwYbtNDn4HDtGd//qXlC1ZSj7wB2ewHQBvoQKBq77eWPzkU/Y8qqCe9Bu94GQ6tmtnc6jWbZhly1tmtV/Vw5uCTzsqf7xMGT82kS6OEQz81ebvL25Dd6zgbBwLICnjgpGEZckiTy56MvB77A/WlFoi3vIRqZ6YcRdRQIQ8MCCZXv2N2mdgKBqPnSuTPjhhRUNw3+DaiStbVYZ7sAwMRDUWOiWj8Ed2V7XB6V9uoXwNaD60OD+uQpzxzp8MIYwYPsIwvC4R9HqD7+CmA6CzRPVCN3/83o1Uf02r71WxbR/Vb/fboXz4iC8cXbHTIKmrnMmLcjOCfvMt6dK5szWtQYe2vige+Cv3R62hIhQemwb16gUgnAa+Ur0SMJXz0V5vkCyKrov+jL/ZEQ8q02g9FNSvzlemiql8VrhFiRo7o928NZI3b6x8+P7uJByX6C3qB4Yf9/4hqMMW96ZUbQkaZBYvbtLY/Q0HAO9FkMebNPCnIGYn2ujmCodeumRpoo5Endu1tTyy/BVqWU2KGXt/ll4rt0lI1hDZvmVrigTm7XPioIaElon1E0DAbeetFIoOTMvkDGppU1bg1ww2x6ffZZUFKhYd8RH9IkkgIixMsuWKkgbDZsjo7QcNMBReoLiMGTE8xXsyf+djdvNH5aEnYulSpWzDybtzG8tBHqNERAeChzz66Y0MuueCirv/7nvt/17PB/U9SBrOmCmbVOs82PzKsw9flkrt+0qZwvFWViCl+btEZcdEyBHEdUepMNQPMuIdAIu/w8CwD4A47PXDPv90xGx/V+4IQaMi0D4BQ8wR9XNrn5Uq5ctZRcrCal3Hlq4s4SEh8s47u36peeHpO+d+x4Lu3/+FQRu7dupsdcryREQZt/A20MFTgMcju6o2yYn0GyLos2cNp0FPjpH+SvyBjko7dkgnVWWypk0rUQWLS7E6zazoChhqN9erycyfi8ABUEkMUVKgWB849wd+/di5MQmzGyHPniO/pd8UhxlvjA/cVVsNyT2B+QOHHaMSLHe2LJI9PFqK1W0uOaLyWTkwMlCC5+99ByQPah61nvE5c+AhZoBPrhMX1ZwWzJtvhifNgVKq1P+nIWYGBMyCZsmYUQ2wembQuAUF07pOF6B+dTUacuSQ2Lz5DNPBBvdQbkJGCCFaxCwAcUBBBB+omET4HKgjxoQLdLjIIFBMAC2A1L2otd8yMAJ5BhkvqAi7PHmI/A2Dq5cSAEEGugNQVpZi5XhAhquInz51mvlSCWDwThigcCncUwSCUIlYEy+wffPmzVKxXDlzS3Jof1frNP0Pro6EpOTw6mdWBXzOpjopF50+eZKUKFhAIrJnt5Zo9M+uU7OmSrWBBq7C1cc8+/ftJ1UqVDSwE+9B5A69nPk6YvTV/fhMOXRnO0SUobgWRudPRcxu0HCSTYQoKGMKjsO7SYgmirRwmlu3aGHEQI2IWtWrW+kp+7lRI+srQvYEoVQn+h0RgP4izMvBadW8+W/uYpXcwIApW7q0QS7RbSkvm+AB0eMrJly9bNkyC/Q0atDA5kwdaLgi/yaZFq8Cnh4wFi5o451/3959DEdCetfbN9B/5cbnv1kqlClrWdI05SRM700CgMDx5JB2NWLoMFt7rob16lvSL1n3XARsqMFNvxIv+tFlyBAkwm4haQMgvhez/l9DzAwc5qRA4d4pFFdAxo6h2s2eZNvwMvg9ul5yPTjc51msLVu2mF4IJ6PgCEmfF1NoKPN7Bhxm5oyZtlkYcxhXQCtTmj8/Q7CoWwmSkOz8+S54ZeCccHYkCl6UlPrm/Z6B8UXwBEIjkAJMgIQFp/4lt/787Ycff7B1vhpUutfNnwZElAwgQ4fkYTKPvEUr/yuJ2Q1AMP369rU4P1gFOBeZwOBvOd0sIFzX6c1OV6OoH4YZ1jU+WRawlFrO1IojVYiwc3J5hf/uge6JCgQOmhAy6gd5fnBSdF3m6O017eZ/xT9/PkOUkcgkJQno+4GngGqermXaHznQX4cPGWoGJ5ISdQw1goSKw4cOG2EF68t26e/g4BwK2hfTRxwPUt7IaKvVAUyAw3E9bvxfRcxusKn0aUY1QP8lbAxxYvjAafv07m0t0NA9qXjZs1t3y1TmAADfRAenDTHW9O9djN8y8N0uXbrUADOIYjh2wbg4QxHS8oFmlYD+mT+uStQPdEykB5+tqcYT33129ZrrVlD6IwYgLhgAqUwl1Q4hMod0Q5UgCxwpijsQm4GDhhHM3tA1DOnKe6A6cbDff3/3b5rDfwUxe11TLBjpTAQFSK8i2bKoGSG1rI9G9apVbeOBadKwBmwDxgd6KToeYjylJNA/arj5cyDhypXKV1Du5CspQOgbjl1T9X2bv3JurH5+h1GE94KwOgkBtGL74Ycf/7/Nn6yVhx962OwZFxQhm95qhOjFersuBvzs5s9nQBmOUo7OGvzW+f+pidnpkRh7lBHAoifnDlWDyNvWrVutmAvVjdAbcQPBtbiAlwIo3/DyBpk4YYJ5PdAxIZKB/foHvAJ/NBGQIUMkkewan5TIY64pDiV9UjBOUReYM/N378DvULGotwZsFtwGYW04HJz7HVU9ghNA/4j5o8YRpaTKaFR4hB1CopQkI4CAY34EpsCLeC/0YLrcEjdAmtKMEwlD5wSMQ4xksw9+xfz/tMQMoZGKRF0KsoOJCAGCPxyUDZFEV0uhRhr629s73za3Fy49jJp+ffrInj2f/SEEwT3RdbHyAQsBSgJH/GlQXbcbfQf+TSLw+HHjrHIn/lry5K5Xhuw3zx9jc8cOO4Tp06SxYAZECRDIVUj6NfPHOCefEJcjTIX+5XhvaBlxo0zlT0fMLACGGRE1dDJELhiDn8/9nETssUBw382bXjUfK51NuQhpcxBw4cFZgsUaXA/dDk6J+KPm2r/Lo8FzcEONUh0yp6oHZEeg3nj1XDd/pA5cjAxqMriZO94V/g8MFvcbEidJIW4V1QsXPmrqFSoIOuq/yw7wuc2+M50XLDj6LoXXdycDC2BeVBTFdfjCCy8E5k+PxBeef0G58/tmKwR7cAA/Aedk7dM9kMY69H6lkvR6h/JPRcy8DMB4Ah0kWRIh8zrYWRQIdPHixQbrxGXHZwGfo0a4ixQsuBcGIuk3AIdAbX0f1FcbHbxXz57KpTNaseujN7Cg1yMEah+j+1L1nYRSL/bCEfr69S8akg/PSimVEvikeQ/m7Jt/SXNd8TtUixbNmxvuA3+1l7DpuY3Lj2ac9ZTLAcX8vfMn0EMUDt2XZuxEGhM8fz91+pS5B9lH1pk9KFOqVND6l7QLrxEBHzAaBGPoM+Mt+gJcgagvOjXVrAioXGv+fxpi5iWeWrTIMlColeEamzNM5VDu1bdXbyMSiIDSXgBagJHSfJxK8XBcLhaJBYdD91L9Eu4Ol6To9xy1yOEm3kWD85Pmw+LjRvotBMF3aEaPX7ZCmXKJQPv8DeARagbRSDC+6M1UQIIjE+6lVCwSifnjOYATAjICAUcAKD6uoEqq7FZGl1Sui56CkBABXBpdduvWbb95/lZbQ9eJdwBo5Q00ARElAIWBTfH26npgidiRTYPrk6CTW3+YAvuH6420NTwgMBxaGGOIv7DuBTnngSuQzIAaAxQAzp7S/P8UxMzkcftQSQefssuU4PdsMm42vluyaHErE/vRdRrEBw+4I0YYBVogWsKrtEPztXzwLRyLDzGjzxGd+zUEwWchSoiUkljOf83vMXJod0FtirCsITJMdXZUoDNnb3xDwDp/+smnBmKCYyNJKFTo1Zfx+ZKpQ+oWYflfO39aQ+CdAALgalU4RgLDwAANzeIrzMjhD9abrzeQgqiCoPxQXVo2b2EMx80TdbG8cnC8ILSFSG7+qZ6YLelz3nxz44wbMy4RN8AVlT9fPtOtHlOVwxH57xGjAHb+9de/Stp777Vi13RZdQsHRwGUj1969w1GpSyJc92L5iqkaMxpj1r07q53zeWGAUvo2VuZ6beOZ1ausNYLadNlkpjckbYuLjEAjHZT5eIcqk3+huo3Mn8KLmZ4MK0ViPGG9YFuDug/wFCGVJrCIEypj/aNDvIwC+TNK3f8/f9M0hBldH1kkJj0vCFBITmCTvXEjHVMGwRSbhwhnzlz1gBHcArwCdfDTcA94BRw4GtxJPQ/XHuFKtWS3NGx8sBdd0nR+Hhz/XkJmiLoiMUj12jP5gZcDI5LOV6Hi+ZeNF9HZKNDbtu27boEhaGHH/dalj0GY+2qVaRwtYbS59ltUrh6Q0l71x0yoE/fgIHJPerXqWdlrD5JxnMSPEgIgEDQcV1WinlOVFLh80bte0JVjgspQD3d51F7sAfYw2vVD5kwdqyE5MgtRSrX0QNEHWvaVnQKSDMyhiorQfuyU1788xAzPmIyQWhy6YA0dEFt1aKliaIbAZ8cPHjAoJe47gDlAx9NDnnFfZo3bCDRRcrIhHe/k96r3pB8RUpZ7h9eEy+wHm5N+Ja+f2d/TrnItmU0KzfzFoM0STN/gYGMiO4dvc6BgAjJUqc/CdwPg/TTFIiQdm9ZlCv3WrHVCtZMfO8HqdK+n6U4ddQ1POU/TN8c+8aMxyqVKl9Tmn355RFraI/v+H0PpBRdl+hkOTVMk+tFEkzI6PYcZvYAW+bVFNQ01KIcmTNJg6HTZNqe49Jw6FQJzRYm9+se0BLZVVNlT/GnR0dGJlqLVEvMAIKaqd6H0eKwxXDWxg3qyy2qBjRT3fN6eh8vTwCFsk1EnYhAuQY1wZzkmaeflhA9IO0fWWsZzWR8UGKqiHLp+269xdKkXnrppcAzEb3M17W8DR5wIDwS+WJidMF9xip5hgRDqL2RNyIiUZWl5AbuQGyENP6+37wDOYsVy5dP8l0wEgVVPFdo19cyva2b6iGxVP1avUfJvbffIT26dA24GFEJMHrHpdBNFQnAs/Ek0N/FjY2qnmRXgntQ54FL8Xp7wHezZvRVayUSaL2zIyLlheeeT/Q59oPKrKTCTXjnG8tWIXOl/cMrJTx3tD7vLmmuB8Gh67Zv227rD87clUJLtW0gqG2cIzTUokTuhA8fPNiqDhWt2VjCc4bL5HHjr8mZAdKn97dxCNRzTpPOIk1bPbXf4E7lShSXwjWbWg9ny2Wzwi8io7YesCpGD955h/mdvWlWeBvAgCSn5uDqIz/vcQ+x4z2hRl1cuWqSMyKvtGvRItn6a25AcNEqATJ6alKzRhDGnNlzEh2c/r17SY7o/EkawrvcyCod+8v9eojIrnYESMlgPBPJwUPRqSlESOAocGDU2C6sHDmqUEkpWL6GNbjEU5ESQSNVaNiOvRNcj5qI7TlPT5NnVz0j2UOzS/sFzwbqffj6Z4t0nLdawkJzmB3TQ419p0Pj/aFqKSlWjFRVOZ+NohsruiXuNQwmt1DUmsuYJo3U7jdeZn5xXhoMnyEZdZEm6oak1NZ2qBI/2QnebGArjq0cDnXDHZIZUyZbCalBL31kRfoSlYRSLWDoRlV3ChaTB+++2wxAl3uGxGCeRNq8G8rhQCUAd+y4xv69+ySfisX4yvVk0vvHrXBNxkyqSzdpnCJBk4FMwmdolmxJCqwTsnbPpA0CxlLziY8lW1qMGhaoHEVVl86RNauFyW3NdZ3BgaACnPv550RcEt8vPnhvVabmDRtKtrBcMujljyzPskCluhKlz92aAkHjhkuu0j7Eja/dreN3ym0rlS0jxeq19lUy2ncpUTEZMr2bjp1rzCGd7h0+aV8VqpNWGg1PEOs8Y+q01NXTBL/k4wsfk4hcueSTj33iGaW/gHKBgpXrWjtel/RZX3WrjGokTEqBoCFYxKSXmLNmyGiIrrX+zGQypXOHhkit/uMTZUj/UgPCV5Cl57LNkis80uq0TfB0HaXeQy7dUC/HBm+AgfKGv640nLNFIyWE7LllyCufmgjlHTovfEEyqKShBVpySDfj7koIWTMkLlzDYcSN6AiPhvD5SlexJpfUOU5SdFAvSsvy7Gw0/1Rd1wVrUJfIdEYPdoPcR4D33jT+xx991NS15hMXmsRi/pR6KFCxjkSGhVlEMpigMbophklminf+SBbC9y51bOqkiZIpYxYZ9OL7yRRNPG8cGqKu0X2YEXMeZQrOm7Ru3Qt2uPF7U1c61RAzIo/QKAg311aAlx02aJBkUsOm/9q3AzXgrPG46ob1h0wNcOhglQMCi7GQ6IOBbkVp/AvJQuNGate8mUTEFbHi3GQWJylmclCsNkSvp7da/717b73VPB7Olw13KVKokPTyzxddH26Bcej0U1okZyXjY9gMX9N2arGpKkMmObWfMypBoy8GG2MQXLMmTQ2nAFaEd+BwoiY5DwgFuylP1WXRBrtfctVLqZM3atshqdFjhD4rRO657fZAUi4cF6+Eq1JKeJ+MHPzJ3/sNZVxiBfLkMe/INOpY+4vWsBesWxwEDYfesiVJa2R86EgX6xiVKYsRNkhGJxk/1nWMCAuVmn3HWg/uYGZiJXl1Xyj1VbvfOPv+/XfdYzWmYWAcZugF/zRZ8HiIUk3lfHpPY0Hv3v2+/Z5oXc4smaRatyEy+9CVRGW4Zu2/6uPQg6cah548YXySxuMYbSWLFg2IO4A9jhBfenGdZFUCoXooRBZc9ZPm5GO2fymVOw+SkLCc0lAXDA5AlUxvDw/chKWshvSPxjHwKbv0eFxq9WvWlAjVMyd/cNJTDNBH0Kg1VL7PHhEjDXVTXFkAN/iZLA53GOk78rzfeELNoQh5maadjWhnJVobHxFP+eiUNBo7T8LzFZK8uXLKw7NnGziIOnKu0DgNiPB1003gjTfesGcRpHJjJhIufSbps2p7onpyrjLn2B1fGUGbyrHl9SQAInAcRGa5LwUfqYVyRlUcJFaH1q2seujoNw7bensLyfjqB15RlewV61QbpirS2FGjZfz48eZhcjVFCEjFREZL3qg8hjpMHZXz8+aTB5RzAtJ2XI1+ymw01dNp8p60GPhVI7x6Q6YoQT+gBD0hicoBmAUjB/eS8/Vaq7Mypa2pDTXl3H2NEygRTP7ghLSY+rgZVbEq1qapKHTpR3gkEHUuDR60GqrGc2ufUyNkYqKCg0TbqC1B3egF3ycuVuNKzaLG9H/+HcmmenvVcmX1vok9FeiDlEHYuWNnwJUHwQzt30+yq7SgQr3X6ENUz9x/yVSjAqqjUzCnZ+dOBlpiUFUJTrnMX/OZ7HMwyI8+8qhxTMLRrnYd0qFgnmgp2aCNzFZim3s0qU5uBP3WV5K/Qm0j6GCjkAglzyait9+PHzGJ9ewaO/htH34m0SGxdhC6ByM275WyLbpLZpXKDWvXklc3bgxIE3z9YEMM+KTSEWmJBAAOkGraQOB6emT+fPsdkyqv+l0GNZSqdx9u9TAmK6fhRXlhJ5JwRUHUdQdNNg49BYK+ViQKo2+qcvNMWaXvszv9ZVj9nEDv1XP56xJXoZaEZkhv1fg//eTjRF/HLYbRQaYxg4MHFJVWEEgVWqQ5MTtyxAjr/VG6SUdpP3elr3/Kl76SVnaA/G0P2EwIOix3HqlWvpwS06FrrhfBGFSXxqPmGDGxFqwBhXAo9l2xXV9rrdygVi15JSirHHWMHt9wfMM86++Ab1JwBRXJ/Z5BO+BMuqbRhUpIi2mLjKnYc5Sw0WUdYaNyjHnzqNUvicqR3ULy13LbIRUqlCxpVfCnqwrBWpik0vtOePcHK/1FLZFCeWNkwdy5Sfz5s2fOtBQt56IcpOqpVc5PLcXGIWZ6yrmWCUAEKbRNdnTZwoUkZ+4oia9UW+oNn2mLOuMzX91e9FrKtrLItEBDh6bbVErRMjhppOppNFvn+9ac5xBE8LkRQZiqFLWrVrZ6wY4LBm8MxADgyUkQ2u/iE4fIAaQbB9EN4DNVK1eWutWqWN/r/KUqSqWOA6T3qjdNBbD5H/JVmQ8QdHi0cuhyVtMjuWFN3qtXs/55k3afMEKikDgei3pDZ1jNisKx+eTR+fP0sz8nO38Qh+jhTroQFMJ4Snv/g4lqgwBkis2b15rU0+Y4Wu2Lkk06SNt5a2TCru9UAly1Z1sPmCO+VhMQdPR1CHr65MnGcfs/v8u+xz1wi3Z4dK3Elq1qwZMhA/oHiDX4HSi0Hpkrl6WaMQAjwQitcr5f+v5/JWaa3hAxO3bMF7qkEQ/GDqIJcbf+heelbbOm5jLKmTta4ms2kfbzVsno7Yet/da8b3yEgVGIo37S+HGJfJmOW3br2EHC8xdRLnlUrfwE25RGY+ZZGLVYfEFZqETgKrpzykmbp4qoaxbJABsA8MgtNrmDtpiq0wLqMQ6uhEJ7M96DYijv7Nwhwwf2lzLFi0l0VIxEFi2jz50rQzd8LNN0I2lQM/9bH0GHhkdJ9fLlA+LeO5bq/UJCwqTLkxts/tP3npeui16WyEKlJLce0kF9+waiZbwvhjD++k9Uwrj5gyTE0/Dcs2vtZz6DPounwfVqQacFII8xi2GIn3nmlClSrUJ51U3zSqiqf1V7jLTSXLjqkAqP6HzGqQ6dv3wtq1+yLcgoNEL89BMLGtXoNUoe/krse3TUKtm4vWQPDbNI7JuquzsiZo1R16grwuE06aKSA/cezeydIUmRHnAzqcabAWzQYTCwTknDD1YZDh08YBXnWzVtIjmyZpHQyFip3LGfdH7iReV2p+WRHxJUD1stIaE5pV+vnokww8+uWS2hISHSbu4qJZ6r0uXx9ZKnWHmJ0IUfrDroF55qOYDfgSTiq8YjAp541apV/q5KH5oRss5v6LGYYKwRc863jPFJON5bEpZxQo2i55STUPGnWIH81nq3dPPO0nrWUhmlB3PeN1dlyIaPjMPWqFgxUVdS/k1Dngrt+viI4KUPpFTTjhJGidx6dWW7JxiEp4XEV4BFoM1wd1KIBbuBwAOqkWs95mtfEWOIQXcQAPnjbw4uR3ZJpdE2NfSG6HrhHyaog1rWaORsGbT+Q9Wrr8oklRL4ofPoM6mr4QjajL6WLSQqvri5WSe8e0zqDp4iWXQNyhYtYvEE55VC6uFuI3OdfE5ccBSEcfPDkAQqy0GDgPFSARVNFcQMPBH0mHtpqm/26dU7xXJSFy5esC6kM6dOkVLxBWxDC5SpKjX6jFU15HNpNWOpZAvNIT11Q3lhWgRXUW4XX72RDHxRiUD1WELYjevUSYIxILMBQw49DJeSryj2vYapIH8NgmCBZ8/0Wf0YZnBqiN8NQt2oGN8EdY/1jv3798mTjz8mjWrVMLdSjOqm5dr0VDXkLem9cqsZvzWVA7lCN0MGDpBs4Xmk75q3TN3Krhy8dJEismL5ssAhMo6m/xGOJtqGOsH8cWtxKOf7bRJCweAl3Hqj5pEZ7g7/e++9axWHXk+mmHpgnb76yg50LzUw8+YOl4i8BaRIzabSbv4aGbjuffNy5NMD7Toe8NnsYTmkxeQnpNPjLyhRl7S2FBPHjrFaKN5BnxYOIT575u8awQNHYD9BTYIx+cZfoZU8xFTT1BKH+ohhvmKBFy6ctwbv1CBLbgSLLjZgk4rSXl06SfFChSS3inGINrZMNUl///0yXO9LqJwKPwRfIvIXlhIFC8riJ55IRARuAERPrjj5/XfebWFTRu2aNQON61lQuJg3/EsEEvxycilXwTognPIjlQTjR4+UCioBopUAIouVU2KoLWmVAHEp0mw9Rgkmn+rd0UVKKRfKKSP1GW4zvePLI19aFkdwe2b81CD1TN3q3MUkictOoe0Y0UAnCTdu3GiN39/3u0mvNX8Ow6FDB+XJhQutB0u8Gmfh+eKlcO3mkjUslxTMl886DVAPgyhigSr1lXmFSdsWzZMt8oL/mCbwMBAkSyDohb9d9wS4LGoHP7v2yDDCVNXTxGEzsHYJCZOkGryIYCGIrlkaUDJGHlx1yZOLpHP79qbDYlTiikKNyZIhk3Umol0auWwpjVV+rpCUmO8yUc0gw4M6DzZfFdNwORrmuEGvEbhfQtD8IT58pOipwTo948yZ01Y3j17fgO3hplwAg+BOGD49unRWvff9FOePToyrExUpUShciZtUJogFbwwuORd9ZK2oveEGuY889ysPss81M4KQkGa4OIMZC4fhg93vWcPKOjVr+NpCewI/4J8bqDR8wV8FP7mBzYKLFhx1cr3GcbXu/Xyv3Hnrbapf+/zN1K9LlcRM1AkRt9JTVpZJgvLCAKSCEZyHHLeUip4kJFw1XZYi4+iC1HiGmGvXrGWbca36DG9a8CCrHQIvrgM3mztg1HBz3VhP42HQDSLR1g1cdHA6bwdTmgHBwZk/Yp0EgD2fpIwrxgAkSMKzkCrMh8DA08uWmvRKzlPBIMKJCE4T1DaCnynM4pIbwGU7jATE3LFd+8A9gBbAyb3Ykffe221GISUZuAggERJPaR1hShjPSMbsehjpVQIGesK4sfL9d9+muAfmRx8yRI3quxIxFOZDu2PUG6AIgKGoWc2gAWqqIWbrwzxunP3MAqK/ATxyA/FuRUWUW2RR/c/92x2AlNQRuBRVdgj7ZsmQQXJmzyl5YvJJtXLlDHOAeyp4UVE9BvUfIPfdfbcPfqlc+u7b7rCN/FoXks+6CjyMb5UgAO141QwSZeHMbqA3YiTCpdBfMWgo4k0xx2ulGTE3AgS8K14aDn2evHFSPL6gBXPeUwPTmzPnBmlI6OF4WUAPgmvGIHUNNwk1c8gDnFlVDmq7ubFIdX64qSvzBQ6clhDorXB8Cy3rv4ncvvvue9fcA+rqZVPbwxfJzCSREdF2oHt37SxblNjZb5u/5x0wnKmCep9yYtYfhBzZ2q5JEvjnO265VaX0G6mPM6MbuYADCj6os4l+nRmxU6ZEySQNXtAJCfEmhzxjceCwQBUfuOse80bUrFbV/MhVeoyQSh36mT6XN3duGTJggGzc8HKiEq0YecAMqYGGXxkpcNDvirMoVNmyAZ0Zyx8u16Vjp8DzIXQqXzrsND7b4G5LbC6t0IKzJtz46eRP0qldOzsAwEHbtGrta47TsK3U6D1KDagS1m21dfOmsnzpEp/70HMwAcZjGLVo2tQCI17oKxU8Abm7tTJJoZ9zOj5FJImovfuezxtD1g/6qrdjl0MhUg4guYEuPVMPDdBX8Mx0hioCjLRwKakzaLI1EcpOyQg1lEkuQJJ6GQuRT6C2ZNvjEFiierfzduBuRIXBs8SgqiuqZKpxzXXt3NkscV6Ixe7cyUcceAtQO4INGjgEm3AkyBJ2nUMxmGLLVZfQyHyqZ3aRL788LLWrq4FSrYGM2fm1DN/8mdQfMl1y5i+iXDNCalSqJLOnT5UDB37h1lf9rQkSiXHlxHCmuX6VA3WAesT0ynPBGkqykrP2vV+M9/cD7YO7LUHgSxYvTlbFaKIGk4XUS1aS2KhIw2OMGDpUQnNFWuBlwq5vpO3sZRJbobah3yqWKWtG4W7lapc8GdrBG2w9AJs1M0irk0RwSrJxHKdGosG5N/v7HlI6LJsfI+J9B2yS5k2aJMtMiLRmU2lStHZTyaafBbPy4gsvmBepyfj5BiXouXyzlG3ZUzJnDZV4JXTwGjSNh2G4+bP+wUAycDKUi/jOXyKidYuWhi9PFcSMWwVO5lKkqC7Jy8HZ4BYsdDAxwKlpQHPaE/UJELIaSnEV61rIOiquiMz1h58t1y9PtBSt29JalwEymvTej9J50ctStF4ryZ0nVvIp4fTu2kU2vfJKsmWiKBWAyH79tdftZ3RwNhk90qVlkfJvcEW/n5kWyvfemZgzcyByheWwehreQWWmmpUrSUh4lIXxyzbvKq2bNg5IDLAKYRH5ZMRre2WBaihTPz4jfdfulMpdhlnoOSp3pNRTKbR8yWJTExKC1CgkHWgzEkYZHBLUBTi1q0xP2heFyh+a4+ujzZrCib12hOsWNS/IFw1HJspHKByoboNRD5vkcsbktMmTlBGlk/bznrFAC6Hs4a9+LvVHzpG8JStK7tzRUq5oEZk3Z7ZBgZPTrfEWwbF5Ft4scgMJvKUa1BxOb9evgpQbUv9djQxCls4IyOL3mfJ5fu8lZDwFMblySr4yVWXie8ekzUOrdJMKmAhzA39nSPr0UrXbMCVoX+TQwsoHfbhfHPmEVTEa61SrIvPVGCIM7haVusdsjgP+ANphPngQXOYGnBWR/OiCR+xnvDBlS5WRB/VAOp2ZfxMcOu/xamD8QsihljDwgWW7ZA2jGfySwGeoA0KQIaZEBcN7cCBn8w6HxX5uOWOxqiJtJKMasUXyx8ro4cMN0ebmj/EEOMd5FDZufMX06wfuvdcOoSNIegECr3TcEajofR6dGdcZBrW3WDicfeSwoRKWLUzq6ToS6s5btro0b9QwILWQBN1pTaEqH/50MN6sPaH5yR/9JF0Xb5QKbXpac07AS12ocLpmtZw44dOt8ZjQBdeppeRloi8DKUgVxIyfE6ytI07CmHgsXEMZFpewJj07wNuiQ230L7wj5GdXr5Y8SshABkFyzT8mUqJBG+taGhxJXLhggSHamk541LABM/3AH4gadBgters/9YqUbdNHskfGWCQKEfiK6tYAcvCZus3pr5Y0BVDw2zpOdunSxQCgx0U1QY8NGzrMCs5QuZPAilff5wDUqFRRQnJGSL+1OywxFYhqeJbMpj8mkg56aPKovl+2RTeZuufnQJdXw3no/Kd/dl4GPL9LavYZK2F54pQx5JG6qmKhW9PUnR4uLpNk6KDBRpyoPQv8QRXGjGnTrJqQ64EIGnD2rNlWaZU9oPK/FxSF1OjVrauB7VtNX2yIwJFbDkpUvgLy2IL5ieb/gxq99WtWl/DYQjLs1T0B5BygI/7NwYRbt5y6SKKLlTeYatUKFWX6lCmGUISRPeP3duFKxbMBDaUeCKieenRLR5x19dQDFvfqS/ybRQ3uGMULAVApXr+NTH7/hJ12kFyxJcrLnOlTkzwT4h7Yp7dkCckh3ZduNOjnDA+80YFnIPIRr+9XUfmQ5ClSRiJUhCMZXDNy3E8AjCi3RYiYAIeDoeIRwD98yE80biAWg5vCQ8i1IOQcuaXPmjeNEEDDFW/UwcD7P59NmgnO4YUj1R4wSWZ9cTlJyhGIOpCA4E+IyhWq3lhFeKRFL3Ej8twLF3yoP7Le2yjn5d/OaCX7GVfgsiVLEz0XNSU4mQAi6tOjm2TOlFVazVhiXHb+NyKNx8wzqXsgmcY6lC8ookYm4KRJ7yfu9sq7AwKDqKd8+JP0XLFFyrfrJxEx+SWLqii4Hp0XCJqBdlIPMau+ifiiDa4TW1THQQ/aujXlBpJsCI0uyRou2bCdTNYXN+6qxNBh7irT8d5JoacHG9K0fn0TZwNf3J1M2o4PRD/7gBpAgIBWvyUZ1aAhonXMX8sBTwTgc1xJSBUOpVNpLGta9X4q819r/u+9u8vw1bljC0v/53wZNYhdOrWG5opSfX9Wit+fPX266a2WZPBlQrLZGnBtDiYGV77iZSXN3XcHmlq+vvk1C9MDqKLrAF4H1BAnDQnR11cCP3v27DX275T07u4j5Naq4hgSkWwgPWCoO7UqVUjUr9A7wD+Hh2RTCdNVpn12zqClwR1fDXbqT9eq2mmg3P2PvweYHro9uj6R0gKpBQKK2EB0lylRyirxOA5GnTRamyUH6fQRsnKnLJnMXQWs0nDJ4HvVuKvaZbBUKlk8AKy3giTK0b3tCdA/S+kBii5aTsa9fSxpL2i/6OOq3nWI3H/rrdZjz90PQ4rr0qXLZmxF6HtQxdIN9Doc/cm1lbDStnrQ6CYbpVx/+OZ9/qwXn7rT4ZHnJH9s/kBtOlcgEnHuvBVWFqBXT8mSJUR6Pv2aL30qCEBvzeX1vp0WrJV0D6aTmqoSuTUBeRZfoIDdjzBxbExMAIDEeGn9S2anUIYr2b3TufRR1SKzqhatp/sIGQZAk85RWw9aNrdXxXCNK71FEgEY0VK47uCpJhGDkzAcZnroxj3WAjpnSEiglgf2C54k/PxUt0o12Awc4qSTE8Z1LiKK5dEv49WgklIWxXr6acmeKaOUUNViykc/BQhxjonWbyW8YHEDsTBYPJJE8Rvjcx4yeIhxU6tuqQSVPyJcitdpYU0lnf7pXchey1/TDcusoixvAAcMIVIkZeHChYF54Y8upjqx82ogqnF7BdeosOe+8441hYwuWtYI+aFAHt9FI4rSqg8Djjrj96gwX8LkhKFBGL704vpAe+RGdWpLrrwFTf98KCgfkHUZu0NVruLlJMN991mqkW2cqjaoABQwdIP7wuFcZBDCa1i/gQWxggkFXbp1s2YSqqoRqD/SwBwhwkXbzVkuIRnSBwgPgxnfPbXpfDbDEwFgE+FvSkm0n7fa4LDejJYAM+kySO761z+tLYbvIJ2yaksU1MEzk6rC2TRdJOaOF4CqkgzEG5yPDaRMKwNutGDeXEtXKteyh8EJAel7N6/nslclW4YMsnmT7xDQ84RKknAZ1BkiexiYH33oUwleeP4569MM6m6mPyPYCFnvNe6dbyW+fA1Jc889VqDQ6dx0EaU4+Y+elrl79nxqXhgXqWIQbeOwOleejzB3SbGCBSRPsbIy4jU/Ifs3ELE6Xg9jPiXy8aNG+A/OTkuexT2Z2Q9LxVUGttqn0uyzgEQBNX75riubgNiefeCy1Oo9xqoD4Y91XJ0QMFgVbzMfUHK43GZ6oq+45dD9kTjuQH519CupV7OmuQ+7L9vsS9b1qzhwZq6KHQZYIgHeGg4H+/jA3fda+w1UI7w5ICNhNFxdO3aQ0PBoQwW6BF2XidP5sRfsO/lVh3cpYPiaMVzBidAjMVXVzaBxIwPAS7xyLGdF73pnlznEIR44xcOqQ2bVEw/AGwPNS8i8PPpmjX4TpGrFiiZOWUjSbLxBF16cgEXvXr0CNdBmzZiuel8WaTH1SUvhQVRO33tBqnUeKPfedpsFGtxiwRU5FKv8XM474M60NNjjr8/GgSQUTuDnqBIBHLloXKxx5BGv7U+SWQ1hUFsjPHeU1cVgEBonfOzFKvA+eBucIUSGdHTOHFK6aSeZtudnWxfeo8O8ZyRThkzWUs0l9O56+x3zXniTV92gvlu0Goretr6TJk60WADgffalfq1aSnh5VLV5PUm9DlQFKhOF5SkgUyb4VBaYE5HM0MxZE6Hg0j+Y1pIbGEizaiqJcsUWkVHbD5l04t5DXvlYogoUkUxp0sjTKo0Z7ClBHSQGg866qaw812Q/d/vMSmIhUh0nWLH8afsdtdvyROWRmn3G+I2bhCQG29RPz0ik6qB9/VnUZB3j1+UZwcAbKmN6m71THYhoVK+VW+ShI1elTt+xytFul2LKwVz1IogH8QY+Izg66BPfh4zr0xHKeV3wU3OgCIMX0ntREIZk1GCVYKZVU0qQmr1GSMHoKFO3kAJVK1WxEl3e+WPcRuYMTwSjXLZ4sWRS6VNP9c+5XyVIH3DRqgZkeOB+U8uc6lCjSlWrOHQiqNk8A+loyRJt23oKVp6RJo0bm7FFxf+I2HjpAUc2Qr6UpPBMt8UbDYviDuOwIUOTwBE4TKDgHvIHtHx7v0eK5IuRQlXr6YE8a0QdX7663HPLLVY30Ek2/PNwZWfcp+rCiU+qZZ1BCdCVL+UaNXyE3Pa3v0mR6o1k+mcXkhCCUzH6rH5LomNi5bk1q+1e6Gyhfk4QHIql2LXXzQecs4nqn1FxRaVyu15m3cepUeQALXwWgDic11n9yQ0KzdAqgeiYt3C2lQzLGSFDNn5qfuRgY43DOXH3cYkrX1NGDx0SOGRAYuFsweF8vD1eDsqTZqqKkzNHLj0QoyQiRi19VY/IKneEQHkEVDQyplMaj6kdgCpGTqCb/0EyXdTYuvuOO6XFlEWWtpXEWMNXrxy1cvfhUqVCedWJfS488iSDsSlcgK2e8quUbmx5/TWJ1vcq16yLFK5SV+659RZp0aSpnPQXjmFtYUR0eHWOgVRNzHgHqHqZO5evNpwr7QohZVLOWbvvOJn2yRkjaK+Iw2qvO3SGpVwd+9qnC6Kzde3SxSJWGQ0KmtGXxaAc7MmghWSAgitXooQVaQTIRKMYRwgEcfj+08uWX/OdWGS4EZ+lar4jiCcee9xKbhWv31pGvv6FudO8BIHK0U91xnQqfp9/bm3gfiShuhQu7sl7sKHgWYITAHgWZcPuVm6GaAa26rw3i9ToQif2VixKbrBmGINgPmi/4ebPWhTKD1iotPRUo3iOJbRKImMNYzy6SGnp46kvAroPsH9afwQUvR+1CWMfLEzwYF8y6v7c/a9bDLbqDGqMbnJD6d3oTV5N9fWZ0c1qq26WV5V+un5aW2AVuYNU/Uh7911SvHYznxfgSIKv5IAabWT5FqnRSFo3aZToXljSHdq1l1i9Fy4c9Fc8DOc9FUFdVZ8VT6+QmOho68vhymxZGHvBI1ZXYmIKGTDBA3EOfBNxCq7XEcSSpxZb3bfcyv17LNlogQ30Q1yKsw9elQYjZkupwoXkyNEjiYiLblJ0YAXzQUJqt65dk3RidV4S0r7YXHzH7vcEWSBOoKo3Uhic5OKqlSoZ5oTq9W7+4E047OnSZbSyAPj25x5NCAQ6eq3YJnnzF5SN/kx1N6hLDYw0T0SU5Rwibbb719c7f9yYFH7n0GIguijpF/u/MDAXCQbByb5/ijYQECHJikSigHS6BaXPHMZOjsh80mD4TItyIfYGrf9AwvPEypqVK5IlLtxbwBu9ZWGdvxaruK0SHx4PCje6crr8jXoeEMKQwYOTTbVKkSC++caMP7APmz0cjhJb5UuWkAwZMkuFVj1k6IZPfCWqlLPlLVvDomnJDepWwx15Dydi3fwJ0owfN9b0XTjeFn+wyRIDli6zftRAQX/N/HHfAdwvUrCQ+bvd/EmT6qr3yvTAA5aK1k0NVqtr932C1TCheM4PyeC0YVC8O71aTgQ1KIJoqbuNvQH3BfPi+hniwQAPQxb5rl3vJLnvn6ZBj3HomjXNmuYF3SaCqOrUupWEqW5KzlmTcXOlzoAJEpIhgxkSwT3ngvvQuar6RMOoB40YJHsCkJNbxLN6AIYMGmzgftr9XqtKfEoDy5tmjeALnnryqcD8+f2UiRMkMjREwlSPLtuqu7R5aIXkyBWp6sBjKfb8884f1Qt9npw+oqjo0AQ9nFhGBSHxFhWld89e14zkpTTgypQgo8g6+qqbDy4+Ek/xlWfLGmJ5l20eWi6FKtWRbu3aJtv3L/h3SJzP934uU6dMMWmJFCNJwAHM+Ax9ZODGBJ/eSkHP/1O1TkP04LKDaw4eMPCX7AQdG1562appIg4fvPd+a1JDuHOxinPASVu3bLWTDVgHcU80Cz2SvtQuBQiRh9/SbTb3xnCEqzr0W0oh2Rt9RwDkWXRuJF+CwXbzx0dM6n6JQoUkXRqfLty8aVM1vubLiy+sk9de3WybizeFf1O1EwMZ4DpcDLcliap02HL16qzmxBdf2H2QKGTxnP8NB9ENpBRYGdK3KEPmXX/87NMnT5Iq5crqgQ01o66cMgX80hQlp1o+Ug/J8ca27fYOq1Y+Y/mUoO4og4Bh2bF9e+PYbv5IUnIVsymzQtJ8eo3WFX+6ppZwRWopEPqm3hh5bN4+GWAcKDNL1yby78BD368WNIYGLiWQYnfeequBzAHO4zoDIMRpdzok94JjEjQIz+kjklc3bZJ/x4CTUqgQ7gmEEdF/3pPdQrr9k3qg6OFCCJ8QLQfpzltuM6kBkIYkTt4HDAtVQmmy/uyzawKRNGtlpsSFgcd34vMXCJTw/b0DLAsHBgOO9mhUb/Jijc+ePSPPPfusHpzxarz3MtASUbnb/vkv038LFSxohvft/7zF8OBEFkkCxtg74I+qOomDzxxcCL70nj16JEnA+NMTsxtU20Rsk+kLUa5etdqKT3vFGYQPN6FnHlyBxMuNr2w0vyTlndhwr+hjAVkwgghExfJERdnGJdcD5feOzz//TDqqvkkovGrlKlZmys3HOyeejX8agw5pAvQRvRXPALbEBb8Xw82ftCmKtlA3Dm5N7YzDQYi9f8dA7HPIs4eEmMcDI85hLQLzF7A1P5mOz5pDnITRwZvjkYBLewnPp3JcsKx17JVcYWEWVgd7c/kGJOKfuhE8+hobjBqAzxfOi64ICosyAmyut5Vtcvoy+iQlCyhTBSQSLwGg9Q5t2t5we7TfM6h6RF4cRg0BldEjR5kbj0N45Qbm71r6Mn+KB3I4uBdemx3XaZ7zewfqGMYaHVjx8GDTgLUg3Qr14Fpz974DTIeWabT+aFCvvt0LcNn4seOu2Sbjv4qY3eDUbnl9i4lmVI9sWbJYfz2sdoqX41gn1EnQAEANYdkxSjQkYVJHDSLC+kdkw5VdQ53/5MD9h06L3p5ZjVdq7sHxyDhGjZg6eYoRDu9AljpEP0D/1lE/g/uQRFNEOp+jV/V/clCUHP2dtSQwBXAJdyT6/KwZM81gX/3MKjukHF447bIlS8woHTxwkDXCROUigMIeEKwJdjf+zxCzO+WEpNGhQWTdecutFiDBgsf4Aa+Lnkp4FR0OnQ9d7O477jB3FWJt29Zt16yl8UcOH0j+gqzXDae4zD06rwc86Um49dD3bf5WzMYXNCG7gotOTAQ2/n/OHwOdhIWihYvIHf+6Rf7+179axA9pge6O5OTCv8zv7r/nHvsM+jSuPyKltGv7rfP/0xMzm4eHArcOkTq8EhRMARIIzhXPBRYwDnaKIgLdRFfDR0uzSow/wENUI4LgyWqBk/zepu+/Zv54WTDWcEtx4Cgmg1VP+hKgHsQ282fevAP/piQVeivrRTgeNBrfJZ0JgnK16f4TRIyKwFzBqkBMEGytatWtQv9UXV9C+KAFeRcu9gRXKP0NKc1Qt1Zt48x8lzVgT/DcXKuB538VMdsiqq4L8B3PBtkdtBtgg3/8FXqWGxAKGBCICE7N4s5VlcQ1kfkjiABdd/CAQRYMIhGTqBxGqsMR/5oBV4RoKHgO5gI3FxBUV7Dmj5g/B2b82LHGdYFykvxKziAZKyeTAS+lNNCvd+3aZfBfgFuE6/Fnoza6WMF/LTHjZEd/ZBEJ6XKSDx8+lGSxLfStRuJPp36yoAsbzubSqosFdC4972LhnsO33L1bd3PeU3jmZU8zy3/HwOjEPQcXIt0Kn+0XQflxbl7MEUOLwA5zJ1WL9yBQ4grWBM8NroYfG1EOPHTF8uVqTF75t88fWwOfP4YfEE5vTqDXwMPLgafma//ceYcTJ0/Y/L1GotGBqopEZ4H6omKR1IB//0Yiln8qYuaF4aCcXowF/JMu3Oz+7sQ2EbwJag3DaQmBZnLlvO5/wHRORDm99DAIX930qhFLsL6JUYYhyQJhWbs0o9/DzY4qQVLPDZ23e9duJl2CCYC5EPamNFkvnSNimNCuK+9KrhswUgwuqqQSlCBQEjx/DiUqFMhDJJg3geC3zh9i7Ni+g+nprCuS5OKlxInFMApcoRhySBtcqETuWH8u3qFo4cI2t2FDhhhOBVUquK/2hg0bpGa1anKPPovqVgevozr9aYjZldqiXFS86mSbPEEMl9dHShQIMjKlibKhB7OYiEKyQxaqDs0FdpbSuRh9uIAy+QMAINxwx3l1NdQMOD+NZMA9H/vm2G8mBO5dtnRpc53hhgpuM4Z/ldR9yhjgv6XOGlWd8HUzZzd/Ipe8E6lDVI+HQFCL8N68vP4lk1zu3qwLEE4ibLSkwH74LVKG7+Dqo9UxRh04c29Oo8ulBFEIs0Gq4S5t2ayFESyRQDd/OC0/D+w/wIIm9DpkTajJASgK37qbI7EDvDwYwewVkdyU5v+nIGbDryoHsABDpUqBSBGD00zRkgZq9NGTGWJhQUmFulaTc0dABBnoWApxu4o+4DCCN51wOfeHGznMwK8hBDhVnBqo4D5cPpz7G3ohFeHxcRPVI0sFQDsZ6snVdvYO3hEDGGOXvEbQgE2UmAAieVFx6LHU6uD+HKpfQ9B8dvv2N0ytg0iJ1jm1xaKNaqMgIcCFsIZEVV/W9cImuJ56cFoJD6nyzMpnTFpC1IStqSdyxlOeC0gCdgU0wH4nN/9UT8xMGo5LQisn1xGoGVCHDhsnBryDjxW31vlk6h3f6IAjtFHRffs//2mRJzbNez+qThIeJ/L1a/ygcFxqKhPp8/b5QxdGzeFv4CsIn3srA/3acenyJXniiSdMlaISE0GUo1/94pUB14EfHsn1gb9A940MDkK+6Bg7bN7Ci9yXMD/RxvAcOaxcVnJ9xG90wFzIP0RPpvkoXikMQzd/SpjhwkPlevXVpB1hUz0xv7PzbUsOhZB/8mAPdry1w0LOvJid4mu8QCLU1nXaeVWrXNm6IFGUm17dVG8ncdMN8ufgHvWVi6RUF9o74LrUzQDDe9RzAMApw8Ewckj/Sa4RT4rvcI3PDFECBr0WGpZTHrjzTgv17/TANrE5iNihc9/IgWRelCGgAqnrCstAL6Z9Wab06a0k767rBGpuZP4MDEniANmyhckD1vAo1lyl7ntAP2E04KGDD2SqJmZ6gQA7pFfId999G1iUxYsX2+llo/ZcA0XFQNSiZ8H18IBQnCWlBZ08bqy1KOi+RNWWwZMN4HPXLbdYuNxLbITLwYSQj3atzcEyZ6NL6Du4YoR8/tNPPpU6atRhFHnr5KVEBLwjc6fhJLYCRcaTG69tflU3M4s0HDVHOi98TiJj4uT+228zQM8LL7wQmCtqDq4vklaDK2t6BwRLqB37g+idG4SYKQcRpno9+vz1IKXfffudESTRSd43JUMUla904UJSomFb6b3iNSlSuY48eOcdkk33gcismz+4Dg4XPvXvPHjpVEvMVjpLiQUjwjVZ9xWtniEP3n23VK9aRU5eRydmMwj7cl9L09ELnfKxRxcm+SzAI6rq1OozVuYd87W5bTtzieTKFSn33XabRRWpzOkGQQJrK+xv/ZscERKGtgwTT4Ob3e/ttnxC1KYbwU4Q0YToXSSQA9ZHDT/WK/hdG9SsKXmKlZOpn5yxak791u6UvAWL2fwBHcH1HEFQyox70lUguYEtQjYN0bk5nuxtQtf169ax6ORTyaSbBY99+/aaaoMHAw8O70AhxuC2ygzqm2QLyS79X9glj/zoK61WoXkXSXfPPVYkHoJ2EFwM6DSqTgFJcHZFqiNmVwWfQtIZ0qRTS/yRAHE8s+JpyZopi3HPksWKyfZt1+4CSpMdR8TcmwucML7pfXv3JeLendu2sZy1sTu+trQl6z1NrYYFzypBR8h9t99uNeQc8AUfKfgDLOzvkwlyoOuBU3D9Txjok+jGadOmtwaRuKSuNX9X85mwPHMP1QuCoDg57jjvWKKElS1bqPR8ekugohBZ04Ne3C354ovL/bfeZtFR18aN5yJZCC3v/yJp/h3cO0S5PC6x834jjur87VTdS5suo2TPnlMG9+snx0+kHKDC+ANfYh27/PPnMHIQSInyuvSQPrHR0VJ7wERLhiX9iv9P/fRnqdaxn6S79x7j0E8uetLvf78s/fX5eHIcPHdyaiPmmdOnmyGA1wK91FnDqAeUqS1YoZYMXL9bClVrJPkicidKQwoeVKoHv+CtM0EiZ2YlCFf0kIEIzR4SJm3mrEhUv8II4qhIu9nLrJjMfXfcaThpxx3weCDuyHROtIm66WStVKpQMRAJQ7+uX7OGhOSMlF5Pv2Zlw7KlTyeLHnssxflTySm58gg0renbp88vGGgKsReIkwrtevuKJ7rkWH/xlIEvvicxcYVVh77D1BsXYQTuSvSRxFdvoyPeD49IVHiEFTZ0xD910mSrUdd03HzptuQVK8fQqkkjFfXJQ2QJVJEZFJwRj78cl+IPP/4QeF77li2sGtP4t7+1alTeTPtJH5yQMg1a27OxV4CSuveGmeD9gGaIeKYaYmYiNIXBDYdYdAYHumdjFU0UHBny8sfWxXTsW0clrlIdyR8VafH+5AgCtByi1EvMrm3BLDVefPrfj1KpdCkpROmCPedk9v4rQY3mr1hL4HoDJphRCHfx1lyjQQ8b5tWpORzAGF94/hcVZOb0acZFKCqIGkPSbcW2fa5J0PhcSfUP7niFyLb+iH6DigyVHLnzWM/s4MKPrhpQt6c2SK7cUZJeuTphYncgH1/4mB0Wb8kBOB3eEJJ93WAvwvSdSjdqbyrY3K8pUvOy1bdr0aiRfJ8MQUPM7GPWDEmJmfK/Px736c4vqfqDFGsze7l//olLL/A7mn3GV6huFZn4rsOYE5ghiPS8rjUuWe6fappajlGDAhgg9eBc8IIWCfcrV6Eon5WA2nvJyguM2/m1xFWoLfkiIxJlPgfUjLXP2cajZjhCJs0dHIdLv6EhZob0maXvmjeTrcEBd573teq/b34p0QWKyB1//z9bTFdBiKRYjNGhg3+pb4F7DyinKw4DpDQiNMQqlM7cdzFwQKbp4anYTgk6XTp5MhmCxmgk5G1VgPwEjZoBgbvyCDveelNyql5OwRff/C8mS8xkf5dr1lnuvfVWu4/Lo4MoUH1cTxLmQEsHfOquMyyRz0aqJ+fIU8BaO8Mt2QPuC0Hj/WnRqGEStyJuTXqwMN8Qf+sI15gSaeAq3lcsVVIlbUOZ9ulZK0sWvAdk3c//NkFaTn/KmNP9d91lOA7G2TNnrTwakhAJmWpqzbGA+CwRHZtf9fVvJnuXMlZFqjeUKR+fSlTQkBNLQXFa3cYmw6Gxstkk6993193GkbHsnYpBKDkmZw6p2nmQ1X7w1jZGRFOrjUzpXiu2SoGq9c14pE1FPtXt5s59OPAcDDKMnNNnTus9P7cNQx92xN23Z0/JEppDBr/8USLOSdUfSrhWovl85kzyhM4rGCmGoYaOD0EQeTMDUPVNV0WzSb061jOb3tXBxR4pJjPncIKM2LxXKncerJw5WurVqmWhZHrFOO4MYXBY8DK4Nsp4KdxY98Lzku6++6TVtEVmR7gaJb7KSyJdFr0kmZVDt2zSOAmHxninVRxESOUi1CaqIX3iL54ze9o066JLq47gEmW+ouMJMvmDk9ZjPGeeOCufAKNAPXItJUAcEuyiXnNMaqkCSn4bxk6lChUCujIcK1RftsfSV008JxFBX/pUDopV54+KMrdZMHBo3bp1lkiKDo1hxoBoenTuLLnzF5HRb3yZqIwtdYWpzzbs1c+lcqeBthHVdE6IQxIBaKnGoXP6MK4ixCRuM8u8KFlKRayva+oHu3dLdHi4VKfp+VGfYRZMcPyu7uBpdg+a1wdnfwO2p3MVOA2I2/2dMrAYfRCTFcLxFulWIpi0+7g0nbjQ9PQi+fNbK4tzegjwwEC8rtk6VZkIRqxds8bKKYDlcPXoWKdaVSpL/rLVVXc9maTcrzM0mUOmzNmkVePGyu0Tu94Ic7MuZI9DeK5+IB6kaDWEq8BMDv5SdNFXEYlOBpeky2PrJKZkZcmuxmg/PcRHjhw1iQUx46ligM/hZ5hVqqnPTDgUDurKq0KU9dRoypojUro89YrM+Oy8iWdefJZHt/UR9FeSv3xNyR/tMxCu55yH22AdI7oct+SetIOACBqPW6AGSQGJzxcj8x6akwjSiEsNbumKdbN4GCFkjIPx6OGp4jNn5iy569bb7H7GPW3+CXZgZgYqfvrUDmp/YJyOVa548Rr+Xwa4iMJ580gZVR1m6abDxRD9pgIoUXRSIogtU1VyqXpD7bx9/qqZDHRVKqoO86hGZHAjXZA8jRs2smpSDAIuIenSmsE9RteYNbL5H0jwVPy8ZBy7yxPrVeVQglaR/+11YKz4t7t2aK/MpLDe92igXiDrMFv3YOD6D6Rc6x6mVjWoWV3VyM2Jvt9T1xgVzAWugAPACAukpsr5D9xzX6BVF60TcMER7cmbL07yFK8gjUY/LMNe+USmq3hGBFn1z72+WsbW8qF8DSPoLVteT5Ggca9VVKMPbj71k9Mmno2g956X7ks2WdFxDBdaRBxKJjLHRuCwb9W8eeB3dJIiIknEyrnN8H/SdyWn6nHxhYpKdKGSUrXHSCu9heiE+yABIAZf2VmRBiNm+Ql6ZIoVh3ivYQMHSKhy3MEbPvJV2VdigBCGvvKplGjcQbKpHksP6zeDqgW5QTID5cucIWVt0TJlsQ62rocMAwA9Rm98gXirWVe0QVvp/PiLMv7tY/Y89sAdJOPQT7womWgD0bTJNVF6YC3IkKfvCfO3yvh6r/FvfyN1h0yT7KoSUdFpsdoGyeE7CKuj9uHCZZDlTnmDVNMGgkwJ9GXXNIaoVZwSB9Y1BRC7degghVVc0oOkZJMO1vZg5LaDShRXjaNSY45Tnt8IOkq2vp48QVMON4sueJ9n3rAGPhDVkA0fS+lmnSRExTZFu1/zHyi+f+78OR9I/+ov9yK4AydzRg9Zx3fddruJ68/9RQzBTROKB6+8Uw210cOGSWXVHzOmzyhxFetIo5FzrPrSjH2XfAdTuSqH03HocXDoi0nrXJDdHBEWJnUGTpKHvxL77jglgnpDZ0hYRIwUj4+XRWrlc5gcLBbC8kJEkV6kYm3xu7nIniYqmPa+BwIEwmeBEVAUHJVgluq3DSloHhoqOWOLSM3eo6Tn0s0y5aPTNgcrP0spXuPQWaV1s6bJZrYzFzxI8dXqW9ldDGzaU3RYsEYi40tKZPYwk05f+7N9mDeYnAseNCBGKT5yEHkM/OfYE0jMVEHMLC7izp3E8WPGqnUakqjHH16Ixx59RJrUrW1NWmKKlJZyLbtKt2WvGrebdyxBJr73o5Ro0E4KxcVZsRQvQSNu6QFIOdy5/s/SegBOUDQuvyxd/FQgPAsRk20CTBH4JHqrc8HhqqKzFCAcBiVlc+gmk7rlvBgg5Qg8gMpzgxA9wZ++PbpbFaPw6PxSon5raTlzmR1EDiY12xqPnWuthakmf8nDodkoXGF5S1cxAkBdodI8dZ6jcuU0ju4w3r5A00oLfNRRw48COqQvOcw0cABXmxm1xepy5MsXKOQNAVVWW8G1gGawNhwEiK24GuahodmlcOW6UmfQFGs5N2vfFfM8IOEyZw2R1qpyBLdSpgdL1qxh0v+5d5SZJNj/i9VrZaH4ti2aB0rUuiI84M5JC+M9vDgNILCtWrTwE3sq6wNI6BdL3b1Ij67djLiTywVjUamHMVE3m3h+3nz57VTXHjDZ2m1NfP9HqajGW1REpIqgpQGfLPpjdOHSMmLrARWXL0hMsfIWjRs2oL8VAXeDwixkdmNU0LM5jd+bQNDh2+++NbwBVfgf97d/wIFPDhw18dxYuniJ9f1LDkTk6sI9/sgCqaMGVj5VscJjCkjZtn1NYkz+4ITp2aHZc8mEsWMDKsfK5cslq+ql+I2HvfqZFKnZ1DKzG9WuZZX4vYPnE3J3vaeZP5vtwuu4s2hFzOD++a2qU9UAMhGoK24vyhgkNwi+rHv+Oenaro3Eq8TMFZFHCtZoIu3mr7a6f10WrZfQ8Chp16pVQOWg9C7Iw1r9xutnvrcuBXgzypcoIaufWZnI+MVYRy/GC8I+4NJDh3bVS/Ex4ylxlZUoxp5qOrTiQgMgb8Tkemd7GsWkNKii8/KLL1r51NJFixpirFTTTsrd5kneUlWs2iYWPA3HAamXbd5FyjTvbE0X2zZvliziC/HLwgV3I2VBFz660BYP8LybHxY6C+t6bZgereoFICVcdtcaEDY9VcaOHCG19TBkBUOiFjzVNYvUamJ67HRLDTusakpZU6Nq9R0rWZUIyhUvLqtXrkjEvR1Xxd7wdrR1AaNG9evbZ9DnSX1yzAN9kwQEB3ulsAtwUboWXJcADh6Qh2ZMt+BWtEqIsKhYC01XaN1Tn/mAJa4ePXJUBvTtq/POaX7xqCKlJC46WiaMGZ2Ee7Mm4LrRg71BIwJPSI8jXx4x9y3Z6nv3+tQ6Gg2lmt7ZRKKoCeF0IgAp3q5NbtF5USzw5NLqDx86ZDlv7VVc5c6eQ3JFxihnvcfCoNSXIKskR45cprMRyUupCCI6MNwsOPp2v3IJF75uqpwN1YPhE9sVA5KF0b9vH+MWwcN1GE1u/hTmfnn9ehnSv7/ERUZIzvBIyZDOhy1BLWAOzL9IwYKqw04NtG8LHs7dhlvRO3+imGTqoE+P0/cgQ8X1qObzFCwMcPYlS+z9KSMbPH/WPzjNyXH4d3butGBU5TKlJbsyFtpqkKRKqTEA9uBr8sXEKvPpliLqERuFQ0foPrg4OSlbO3fsNJ/+7f+6Rd7Y9oZ/vfulrgY9DmgEbgARBz7Bu4gYP2Qgl1LCJLqEDng1IakaApESecOthr4F7ploIO64po0aqu78+TXddyQE8PlgYr5XOYU7cNRBI5ztdFlfXmHPwD3Iu6Pe3VXPcw4eOGBoOsQn4HPQXyklFIA3XqX6NXmMIOcIOHABi31108Zr4oNRbdDpvT1cHGerqBKEg8Ta4hN3WA2ImfxEN7AXIEKvEYcdAfirgkoI3JFjx4xJtiUcA6gA0pDk2tL6nEz+FsuoAvP03t4ae8GDw0YnXpr5oH4mwtbofayI5J7PjLDfetMXzaTZUKohZgjHiW2wrQDIF/r7ATLAPGBx00aBTWJjcqoBQlDkWoPNIGrkYIhmaCpBPzp/nnGG5DgkXgqiTeiZLCAHjVA4aTsEMfg8xOiIOTnOPLBfP2nVrIWnnvEhIwD8oZbcqe8B5wRqea0yuXx/qFrtfJaLuVQuX06mmpfkrWTnD9ek2CBqEVa+g8FCUC4Ujs4JVtwhASFmjEQvMSOdnArAHKmsiqriklP5Ozl/1yqPwNxWr1kj4eERPiir7kF8bKzaL72thzk+/OSIGuloPcbT+MBWvAf6M/U4LItejW48SG++8WbqI2ZOIFkXxgHOnbOsXvROBtwLFxEL6bgl/4dzVKtUOdkmOQwMj57dutki4sqJjogwnbpw7eaSJSyXFMofKz27dJaNL78UELduYIDwTMcR4IguUALnqF+3boCY7fCVSawzw5kxsq74DVhKVQV3i2Kz+HnHm2+lSAhE+iJVsrA++LJpn1CwUh2JKFRaYiKi9GA2kscffcQOoJewIVK4ItnoYCPAhiNV3Fpx8PA1O+MSA5C2ai7MjXSCeTgcCxFDdygSd4tKk8g3HTx/pGmJIkWspQM4kFwhIRJdsJjkr1hHwpT46BU+c8pkgxd4548/nwOH75715/3JznGuz21bt6ZezsxEevqjZ9ZEXUW0A/AYzFFFc7DYhEjZhKP+OH1iMXdC2rVsKVmyhEqmbNkNAETNM/S2yh0Hykj6YauRRQfRqMg8Uk4NpkfnPiz79+2zsLX5mPVQgS+gW5VXnP6o3J4FJnvCqUVklABCcptBLTXaernoIRnNaYK6RbFBbMiT/lYNwfrnoscelwjlaMAt8yhh0Uahnh+EP3D9+9Lh0eckf6W6EpEnVmKjo2T4wAFWJZQNdfMAB0HZhM+CCqrg1qKlgjuchITr1qoVcIU6b4IDJSEl8Zxk84OGvE2OACclR8jbt23TAxMnuWIKSHrlsA+r2jdeVZPsagt0fnyd9Fv7tpRq1kXCo/PaPrZp2kTWr3vBpIFTo7CDWH8KnqPmuEHiAgas2/u2rdoYriRVEDMTaax6qOMcfXv1NqPBNebB9QUnDoZDxukiBFvDcOT2ullZlAjoHJozOr+MGeEz1qh/DEdoNvlxmf9NggGYOjz6vJRp2llyxxaSfFFR0lP1tRfVQPQShXcAtIdLUTWegZuQVCq4yGl/fQ1qdxQrUjSQVYGDH87snT/3yJQunWwI6v0BV5pIGlfmrIbbKNeiq1QoWdyXdqWcki6xpZp0kplfXLZIXN/nd0nVrsMkulAp67PXomF9efLxxwwXkZwaAvGi8w8a6JOE+KaRWoB1XB1k9G6yyV3TTKRSWFDHLpOOqmoM9rc08xLyG9u3ScG8MVKgcl1pMHKOFIgrYLh0Dkt9uiDEFZXR2w4b5mbk1oPGWApVqSdZMmaWCiWKy+wZM6wMWUr18yZPnCy1qtcwekFy16vtqy+SKogZoDvoJxdCBvSSS0WkO3ngkyFmLHIwshgTLCRE4vVFoyPjcsuUMYv0WLpRej3zhsTmLyib1Why+uRIdNBMWQ3DQK88Ilc0why+ea80m/CIRJeoaIRWvVIlmaREhX/Uu6irV68274gLMBCcsHCqGl0OpMPGZUybVtb6/bRE1nKEhdmcXQoRPmAMVK+RBUfmmZQJazT6IRn/zrcSXbSMub7ceOG55yRr+vRSs+84f1hZDHVGSL/j/DVSvEFbyZgpi5QoXFgG9Okl27a8nqieBsQLc1iy2EeoBIEicoZLugcflO1btwVUO2qPYHAz8JxglLtuUbwD/nfcY8HlE2gNHa8HLrZsNQtRl1Tu21AN5It+24CDUqJgAYnRdSZ6SZoXe0CrZ3IwK3caJGGRPm7dWvdyxdKlcsJTqZ9RV4m3a8fO9m/2B7crgZ9Ug80A6kjUjkGIkj4WDuuAuHapPtSXQ12gkMgpT4Twm2+OSftWrSyc2klFMLlklTsPlJK6qd42W2fOnJXmDRsYomzguvd8qDN/pySuye8fl+5LX7VNyJ1XFz0yUjq2aqEcdL0ZOxhXFGtx0UrSo/AM8A4uxxBpQi0L577jMJCMW9xflouqnnCW3f4cx18IeZxkUWLBF0u4vffTr0n6++4LZFi48ci8udb6rfmUJyycD4SVkDiETaLBkA2fSPVeoyWiQFGJVEZRrWxpWfbUk+YlWaMGGWrd7t2+Z6MuwRxAzD3hycJB58ZodVFReqfU1Dkzd4MfxMfL08uXJyqQjms0PHt2Kdmog4zb+ZVM/fi05M4XL2OGD080f1QQXzfZzr5o5kFftzBDF35xxbDTzSY/IXn1QERG5ZWCMXks6ZjQOqleGPK0cfbp9y+asZ5qsBkQAhOa5Df6KAICoMfr+2Sx4Hx4NnDPeE8qQPnqFSsY7rXH8td9J/2jnySuXHXp3aVTkmeiA1cuXUqiCpeSMW8cDqDnrF3xF1eNMADAjNxywDhkfOU6kj17LoOo0imWOhGOaPHXjlQ1Bp25WeMmAXcc70KI21vMEYc/hUy2qxj2LjyqBRBQxDghdgNA6SGrrty3WvlySXAOqAqD+vWVbKE5pZtyM/ARv2CBr/haDes7jN/1vbR9aIWUathWwmOo+1HCMDBwNg4jkqpZ48bmjaH+CIkRzgikdBn7ssVzkAjIALVF0nxz7FiivaEDbI5s2SxoRboTTTvR6/PGxMpbfsipd6xRVYygFhJm5heXAilfQEuRlOwBmO+ez2yTSu37G2SXqG6VypWtqM0ef50OKkGhwsWlFggopwoDCXeRg/aB7oJQvDXlkhtgLqpVKC85VDfu99zbBjri6rVyqwUeNqx/Mdnvvb/7fQP2F63T3HrZeXtwBwj7QIKJQVKdIIqMmbMZ2OZDf90GwsNh/j5/WN9w3oOHfKoS6UgYeaSCXfP9VWpgGIFcqzdkauAwAUcN03ca4QfUBA8OUlu1DXIpkQ5++UPjysHdUkHkcbA5mIOVW0cXKiF3/OMfViqLQUsJADocMFpIgCdxIXjmhcTBU3C9mh1gTrIrIZdu1lnX8qRPyum2VWrfVwpGR6dIZDOmTpVMGTJL6znLrcGnt0Ep84ewuY8hI3d8KeWbd5Hb/vbXgKcIWuFwGgQ0tRAzOjMp/Zy4Z1evCehWiMOpQZFA76DmcvVKFSRHVKxZx9bLeZ8vtarBsBlSME9UopSe4IIk66mYpARXufMgyyxJ0j7XT9QYKu0fXql64r3SxsO9CAvjx8YPe0Dni7W/YN58+xu/IywPx06p1BaL36V9OwkJzSUtpz1lhDzbj3Huu2aHROi6YOGnNH/WqLSqUYTuJ+z6xrhx8Pyt86uuC3mC2cOjJT42X6APIkUhna6J7osLz7UmZgCspzQCZcBSIuSVRshZlSP7Cdkv1cBwFyxfQ0YM7J/s/F00tEenjpI1JIf0WbU92fQ1X2ZOgkF/S9ZrKenvucf62DDwamB4Q9CksKUa1xwFAdspcVDr1+mjGHikO3mbULpFOXjQp1okImTjRletfkThmk2kd9cugdCrq+5OWwgSTs/+7NMF58992JzzzSYuDGCMgxubk1QZW6ysGV5O7OKpQId3h43nkN9WoUy5gIuLZEuIIbg8AIMqTZ3btZPMWUKl7ZwVPmyvP/GAd6nRb4L5t504R/UCZ0KmNAgyQPC+Ck9vGXSyVKN2+t5n7UAEJ+bO3HtByjbtKPffdpvq+L6QPPo/hDxq5MiAXk9JBfRkhylBxyYEjl/6ahB35tmPKYcnE6S0qhYApFw2CvPvtXyzZEyfSTZv3Bj4PK4++miTruW6vmIP1alaWSVMQRnx+v4kibmGWdf7kRD8wB13SE1lDthAGKmAoxpbNHZE6sJm0BYNJzti2wUoDh44aCeuc4cOidqbUZ4Jh7upFn5Cdk3VqbkwZP0Hki5telm62JePh68VDDLiCN8uBg9VfdABIcKhA/qbuOvy+LpE4s7A50pgVdWQpBd1j67dA1hhiixijFL3zg0gjBH6u2V+lxZZI+CCCcF7fdWIRzhy5ixh0k45vhGyP60KCUHiQGzpKtJVP8PA/ejqFpO9QvStYtnyVgOPQdoTzTxr9B1rhzmgf/qTWturioQ3qLAa1S51CVw2htwef0kB02P10CFdFj/1VOB3qE8QikuccHswY+oU885U7T7c7BO4p8s+gaiRjEXz57NDw+enT51mHQrw/LAH6Li4/vgbjKGUSuWCVerJxPd+SJSixX7iaYrOX1gyp00jG/2Hg4NNDxgYBhHLVFU3w1mn4G8JJzvd2ZqC6yYuX7Y8EFUqpKIF1w/AehNNTtdCz9WFaD5lkRQvFC9Hjx6xQiYEBO678257YfRYPAYYDa7sAIvQsnEjA7ijf/oazF9SfTNB2qEr6+cL5c8fAMfQc5D7zPWneXkHzerh2E69AdkFUL97t26BrqRGyJlDTA+3Z3nUGzjTgHW7JSpfQVnpx6fAefD2YCDyXN6D8C6AHBcOp7FkVl3HlmSy24H0qVtDN+2RqLjCkunBB8z/zQCCCk7CBabcIGBFo0lSq1w9OqRkgzp1zX7hQPIOAJ0y6OGo1Xe8zd2I77PzAUkw5aNTEqP7g5HKIEcyc/qM5oFxfmpce7ExMYG6cTt0X2Ny55ayLbv79P39Pj860qZ04/aWXY5HCwmBhwVvUAmdp717aqqb4SvP5QMaEcVi0yi47ZByFOcG/TZn9iwpVbSo5CtTVUZs+ULmejiy4wpccVUbSKumTQNGDv7p4IIqEEfzps0CgRrUlgr+lKqxO49ZUKXX8tckZ0QeyXD//ebSYrCQiDfwI8eTSQ/68KOPVHxHy3CKxvh94Oh2PB8R37ldewnLGWkc2Sr4BOnpGJxNxs6V6PBcgcAH+YXBEURwDkiGj/3ZzkiMPj26q/4ZJj2WbZYFOv/x73wjRas3lPtuv83qVSOFkHAAmIqprv3VV0mjpyQWEKZG8lz12waEmynTQCUnAPuAtmr1G2flE1wOn1ctG/j8LsmkxOsCS+jmYMODUXAcSGeMMpYtWWx1OxoMn2WMZIaqR7X6jDFJRM8ZGAQ0QdkwvF8OmwP0IVXWmktIuGr6M0W3t/jB5KgDuI5u+dvfpGCFmpaZgZWepM6CitgRr+2XnLmjZO6smQEVw4F0vAsJceBK8y4AYpu0K/yfPZdtkmiqAd1xu3UddeIVQBSiONj36x3zyXRWgli1cmXA2AHLccc//2mpX2ScQ7TB+jncaLpyOFxpHVo293PLSxbASBtEzEgXol7eipjon/V008Nji0ifZ7aZnnzvbbdapXrWkHkQms6cLkOKhRsJ548ZNdoirPhw3aDuMs0m773jLqk7cJJxY1+Jg/Me/dZXiajhmPlSqnhxO4wM3GeoeF4UHP+GIOd5DE7G1IkTLBLYZs4yqT9kiqlH+ZWDu/JiHDZog5LGTiql6iqguJ3wEgAQP/CFz/gDJ0FNspxqKPRb/aYlQc4KqkKEfthixhLJHxsnH/stcPLx6OUM8brF5HlwBQgs2O1EHxNqMGTSBaVQI1zFESRimoVEalxrsMi0TIBzut58vFNLlQRplUhaTnlC1aGrSdyBcOoRr30uWXNEyBMLHw0cIPr+PeivOxeoDuR3ZQYXVgfPUEM5OaVh+Q4Gk+ugRVAqZ1h268F3vSqmcEKM708+/qXA+pTJk60hT4V2fU2V8Pm3PZJRVRskDRWnWvslo9PF4fbecLhVnNL/bw9KvCU7fEDv3hbOp0AiQSvXLeErVXNQLUoWLWZ9XtxI9fWZaVyDnkYY1XkzUEGKxxeUrNmoD7fcFs4KtrCIlm5/Rco06yRVy5VN5A4jMRYuhp7MoqJioJt/8UVS8Dm1lMElpLnnHoNoulD2K69sNEMIw/HCDTRVt8CM6v5gHhzaC9xImxYtJINuZPXuw8zYMQ+KZTlfNGLGBRgRGqoc9/3AvegYUL1KVZs/HNPXDzy/bN26Jcn8mRu1pe9SHbN5k6Zq8Pn0XDgbRcNJR7uRjlAYhiQVlytdOmA0oqaQO5hJ17BA+Roy+CXsC1/5BKt5oTou/uw8sQVlkQfCS9R18KBBBn1FZSB5lvcgAzw4E531XvTEEwZioto/2fZu7VALwfG8+WbiIMyfog3ERx99bK6hkkWpc7wv0LaLxM4MadNLqcYdZOjLH8ssXcT53/jwCTFFSsnMKUnvhaeBxUNlwEXnLbjtDDNcXvgsaVr+9PKnA39DxAKnxA0EIu9GB8AgqghB0Oi2CX7jZczIERKSIb0lp1JzwidVEizyVaJRR2mnBH/pUmLfNNyVniCEz2eqsfyhx/frbAuSbAERwfFoJ/eTHy9M00u8BwByfk2FftL6CaTQVcrbXxBOGxsRLqG5IqXpxEdk0u4frTIUUb8W055SmyFG9vkPcGCfldAIIKGm4c5EAnoJ2TVhIv+ScDWl2rxMoIUeQrxQYJ2Dx5+mQQ/OfMLCBFT4t68pj+qauiCxymkyZ8thqe+jtu6z8Gl4eG4VjR9d97neBuosMmpNdmvG0zjQ0sBxiezKKamOefw39Bkk4FBCxWLh+PhEVZcI2JQrUVwyqKFUSnXbvqu2m+chNEduecjvZbne/LlQM/DwoEOyoZXKlw8UeOTva9astmAIqWi/pTE8ujUHmbxHt/4MCI0IZFY9lJGFS6tBu0LGvf2VlGnSUZrUrXPdYjzeFncUYR+tKl9URITtNRhp11ye5+CNAnzlUHx/WmL2ceiPrEEO2R7LliwNiH5rbtm3r0Rmzy5ZQnNK7tjCFlZd9cwq+UJVE8TphYsXAo3TEcH0oQPbQbkrXFOWH6hiHwz1KxteCSw0wYrePXsZl4Nb/BZCdoOQOxwTPysb5fr4cU/SiEoXKSzp1SgDX417bZRyblB5/B1O7uaP6oQ+S7QRAP34ceMMNw3WmG5Qc2bPNt3ctWDm76D38F4cO3bsN88fvR/7hUgtXNmLVARjUa9GDXtO7riiEpI9t7RWIqd0GWvIPNz8IVyIFAYC16cbFnWcUd/AJ2MougpMfJ5OumR0g4ehYHpK41rEfKNtKFIkZr6Inxhi4gHW2FDFuqWGB5UPuNGmlt/qAvTq0cOihS2bNzeD0BE1J/th3chKZctaIACRSpE+fJH00qPeM94QLkoCgDnAEEInw6jZ5oc+Om4NocNNEXf4uVOqMPRrBmuBuw74JISN4ePmf8xqaqywlK4oNRqp2OObf3UDBfneoa7p+URIAWHxmbx58kivnj1to0+d+ikwf8BY6P0g3Gj/diONIa83Dhw8YKI/fZo0VqaAQIe3ISV2Sb9ePa1mCYYvnBwvDBk7zL9B3boGeeUd+D2HAyKmJBhBGtec1NeK7YjVzECtqK4S83pNhVIiZg4/HiokFdFHkhSgS/A+ybWwSJaYuQkigdAo6Tf4ZckxQ5TTqmyPpz3Zr203DKGhcoRmySY9u3U33dERBScfhBmZEjyfjYSAKAVAJA5ORaCEyvrosw7n63TZDRtetkVnYZo2bqxidbf8uwcNG0HfEekEL+w9lAzUBtaHkDvGFuvSuH4DqalrN3zYMAvHA72kTILjwu7dt7z2ujWTx1vA5996661/69x5Bs/H509r42lTp1h2jnf+EMv+ffutMit1LjCiu3buYhFYMm74GdUNGCjJAFc9nBO7AG5NTiKMBBft9fqmpETM6N+kguGRoaY1nijyGJup7k0fyOQqLqWoZvDi6Gl/+ctfLCuZgSEFcRMhc624ONUQM1GcGx1sOEUW4Z5EsmgawwZ/yeKwsJ5Wtl7x4v2dqR166Dj1c2bNNm6JOIMTXq95zu8dvDObRjZNnqgoa2BJG188OE4k38j8uVDBHtV7tVCuCaeDE2Ik3YjH5beOz1UVoLYF4HyyxynEiD3gVIob6Y4V2AOdJzr/2FGjrcIqEhPi/zUt3sBke4mZQ4EnCY/JwoWJ+9iwNvjdk0vETZGYmShf+rsSM054N4j0/fOvfzNXE5wFEchEyCY59dOp61/6HaJ2ZjgoBwOlBlFTZQg3XqN69WWkcn+ibpQjwCUF90AHZdGAOz6phIN4RlK4tPwWTZsZEePlwAUFmIVn3dCcfs3F/JXbMH/mhGeF9moEB8i7Q7UguZeMFvzCSBlciIDSEZno9QD9aQeByoG3B38yopzi7HgdmD/P+KPmDwEi1cjPw67Ikt4XjQQXTS4nqpnlHqpNg4sS6cuFOgXHxMVKqQXS46ADVCZwHnSapaQZ6qjZB6dO3dA7UOIWaeS4OAnFt/7jn9LdnykTPHh2ctDiFInZlUsNJmYiZ1jHEDDdRCH6MP03EaLgcOe1LjwP6McYJehWAFhu0xf459/+ZgVC8FNaqpX+zVUosv7T/nJVvOy//u8f9lnK6TIfxCec/tfM47dezB8C4B2Ym83/n/+Sf+j8+T/rwVyZP8EGrHn+7Z2/e1eickQlWQv86f+J+WO7QIT8n1D1nbfcKv/629/l1r//w+aHP5/38gZ6QvyNhtgH9sf3Dv8nd+h3XY4kAStUjF8zF4su6v85ZKgPoA1v0XnMnzs3RXXJwXh/FzHj70U08QL0hWaQ80cqPDH2X3vB6WdMnWbQQnfNmDbNdDvED8Vl0Dv5HP/md9P1bzQE4rOz/N/h81N+4xx+z8XcULGIKtp8Zsww0BUVnRLPf5L9e5r+jrnia/Z+h3vwmf/0/Jkna8kcfPOZbuvrm/fkRHNifQPv4XmHX/Zgym+kg0lKQwsCdfwoy8BBeSKF9nApjd9EzMA6wRb80brpzfG/N/CyOGIme+YPJeYNL2+QTGnTS2yevIEIz81xc/y7Bt4UUIaoX9SgS0gmqcDVzLthYmaQq/VXJWZXcNAqv6vl+w81AGmg8+/w394cN0fwoJYebdXw7lCNyesFIoq5cuXKZFPZUgyakB1BQUGzKrt2NXfJiuVPW8YvaTg/nfzpf2Jhb47//IBJzn14rhnD1AhZtGiRRSSXLV0mA/oPMBhpciNZYsaqBLb36COPyAJVzJ94/HELYhDp2b17d7JFxG+Om+PfPTAG8d/Tt4VAzbNrnk2xcmmKxHxz3Bx/xnGTmG+Om8R8c9wcN4n55rg5bhLzzXFz3CTmm+MmMd8cN8dNYr45bo6bxHxz3Bw3ifnmuDn+V4g54TpX8GdTw1z/nd9JSAXvdZOY/w3j1OnLsuLQRVn+1SVZ8/UlWfrlRXn0kP86fFGWfXlJPjnr2+rz567IpmOX5eilP45QSQA9cvKKHDiblLwSLl6V7ccuyWqdwGf69+sRYMKVq/LxN/r5I5fkzZNXkz2Yx364JIsOXJRnv7+iz75JzH/qcfzEJZn5/hkJXXlC/rLshMRt+1lG7Tlv1+j3z0rIqpPSbt9l2/rndp+Svy4+If0O/PuhrVeV8D768oIMffeM5H/xtAw/mPgZZ05fkrFbT8ktK4/LX3We2TeckeXfXUnxflfOXZZ5b5+WzM8cl78tOSF3rDstMw9flsA5vHpV1n3yszTZekaG7D4rpV8+JV0+viA/XrlJzH/ycUWGv3JS/vL0SRl1+EoizvX+gfPKuX2Etf/Ln6XcpjOy5PurSTjc9dSTaw7lxnu/uSDTd56RjEqsf1lxSgZ96aGqhKvyxr5zsvTwJXnrh4vS+/Wf5K9Lj0vI1nMpSIkE2XP4vMzff0m2/XhJJr91Wv5v+XH5+/qz8q6/nffXX52TjE+fkMof+W7w2oen9TCflOH6rv+tDPp/g5gvXZFRryoxrzgpg77wV/A/c1k+OJ0gV85flWNnrsrRU5dNBXla1Y73zlz10GGCfPDtJVl48KIsUnG+StWVxaqe7Dj162Cwl1XGX7h0WYa++pPO46fExHwlQb4798v9fjx2TmJWnZC/v3RWdp1LRh3ROf3w8y+fv3ryotR8TiXPmtPywinfUXtOufZflpyUlp/53ve7Y+clXIn77tf1gPyXcuf/GWIesclHzP2VmC+qyF//4Vl5+usrAS71zY8XpOx6nyrS/FM/O7x8RZaoWhCxXkX0B+ek5vqTxt1K7vhZNh3/DZjuq5dlZHLEHDTO/HheoleckGK7LsiZG3nM2UvSeO0JuW/zOTlstJsgS99UYn7qhDT1v8uZHy5ISVStF8/KexdvEvOfmphHQszPnJRcm89InbfOSNian2T2V15KSZAndp1SVeSEtP/MRwAHD/0sd6m4D3/DJ7v37Tsrf9O/t9rzGy3EK5dl+A0Q86f7z0qG50/Jiu9v7MB899155eQ/ycgjv9xz5ydn5a9Ljkvht88Ld7l64oKUgJhfPisfX5L/yvE/x5l77bskP567IovfOSNLlTMHyEXVgLnvJCbmdz0EwThy5Gf5u+qmhXYqx/wtiucNEHPCxcvSd/MpGbD30o3ptmrozVYu3PBDnZP3lZVbj976k9z77E/Sa89FWb/vZwlRbp97x3k5+V+qNP/PEfNg56lQHfndk1c81n9SYj6JaF57UrJu/ln2q0777K7T8jflgJNUlv8mtfO6xJwgb3x+TsZ/djEwr+vR3YEvz8vEDy7IiavJfP7CFXnx4AWZuu+CDN2mRuXTP8m4L/973Rn/M8Q8OsgAZNcvXvVsvhLzPD8xd/jsFzl89Oh5ab/9jDTecVaa7zwnr/zgEf1qiH2nhtgPF2+Q1anOPHqzj5iHHElKVIfVSJv8wXl5V43Lw2evyic/XJItqmqofSiX9Rlf6rMueB519seLMnn3Odmo+vsR/dueE5dk01dqEyQ6HvpY5dI1nz8phd86L1/9FyfU/08QM12X+r/sc80NPJCSaypBHnlbiXn5CWnzme8zVy9clulvn5FeH1+Q+QcuyMLDF+XZY5fk0DlfQOMHJb7Cz56Q2G3n5MB1jCq736VL0g0X4fKT0u+wR8XRce7URWm1UbnnqpPyD5UGf1ujn1t9Sh5Hb9ZD86RKhXue+UmG+SVLwsUrMnHbKfm/lb98/q96Df3icsB1eOnsFXnl0Hmp+tJPUvatc/LJuf/uqMl/PTF///1FGbTjtIToRv9NCSV80xkZvfdiEr3x8LdKmC+dkL+pkZTttbOy/bQS7PELEoPLaylejuO+S4k956tn5c2zCXL8m/MSu+qERGz5WfZdvDYp7zpyXtpsPy1p1+oz1BDNsem09P78oljBhstXZN5bp+zZf1ut81zNZ47L3148I29SmjnhqjyqB+1W5egD90PMV+XF3WfkjhXez+v17Cl55kSC7++f/SyttpyRHu+clTH7L8kP/8XBkv8ZYj6nxt7O71U//umKfHzqiuz68bK8c1LFddDnTuvn3j6hn9HPvae6tDJguaLG2OydpyXny6ckxyu+K9eGU3KLEmNPiIqaxGeuyFfnr8/xvtPPvf7DZXnPM483dB52BlTFOai//9D/N+bA9amqGk6DuXjhqnx++qr43MsJ8pV+bnfQ5z9R9eTnBN/fD530vc+Z/6GqEDdRc9cYe/aflQIvn5ZtSiHgGuz66aI02XBa5vy3Rh5uEvN/5/j++EUZq2K699s/S6f39Nr9s8z66JysOHw54D24OW4S859nXE6Qz49flm0/+K49/0ty+yYx3xw3x01ivjlujpvEfHPcHF5iTrh53bz+7JcS82t/gaJvXjevP/u1c+fOmf8Pk2pnOGcVEF4AAAAASUVORK5CYII=)
Answer:Radius of circle is 7 cm.
Diameter of the circle is 14 cm.
As 3 circles are there on one side of the square.
The side of the square will be 14 × 3 = 42 cm
Area of square = (Side)2
= (42)2
= 1764 cm2
Area of each circle = πr2
=
× (7)2
= 154 cm2
Area of 9 circles = 9 × 154
= 1386 cm2
Area of the remaining portion of the handkerchief = 1764 - 1386
= 378 cm2
Question 12.In Fig. 12.30, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the
(i) Quadrant OACB
(ii) Shaded region.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKcAAACtCAYAAADVjW+KAAAAAXNSR0ICQMB9xQAAIt5JREFUeNrtnQVY1Mv3xr3+7v3faxcNS4eAWNgdGNhdiInY3YCF3aKA124lDbALDEQRE1RAREJERJallu33/8wseG1RQWB33ueZx6sX2IXvhzNnzpx5pxyYmIpBAoEAq5Yvx53bt3/q8zMyMl6WYz9GpuJQ2J070NHQxLo1axicTKVHUqkUTvMXoOo/FdGmZSukpqYyOJlKh6Kjo9GjWzfUtbCErpY2Dh8+zOBkKnnJZDIc2L8fZ8+cwZRJk1Hlnwro16cPcnJyGJxMJatXr17BxcmJQurv7w+OljZMDAwprAxOphKVh7sH5syehXNnz2L//v1o2aw5qlasBMexDhCJRAxOppLRu3fvsHDefPj6+OLqlSsIDg7G6lUroa/DQX2rurh79y6Dk6locsfvDbFYTFfmRCQqrly+AhvWrf/o6yQmJsLcxBT//PkXpk6ejKysLAYnU+Ggk0glyMzMREpKCuLi4uhKOzIyAg8fPMCjhw9xOiAAu7Z7Yu+une/H/j274bnVDRPGj0d4fjS8d+8ehg0dChcnZyQnJ79/rWfPntEFUbvWbdCpQ0dcOH+e/juDk4FIB4luBMKEhATcuXObLk68jx3Dv56ecJk/H6Pt7dC9U0c0qV8PlsaG0FNThWrlSlCtVAEcbR3Urt8Y5vUbo3Y9+TCv3wSmFnVR6e9/4O3lRV8rPT0db9++pYPH49F/I69L/p1M91wul/4/UvNkcCopjAQIMpJfvULAyZNw27QRTnPnYvQIe3Tr1AnW9erBQIcDlSpVoVKzFsybtkWzXsNgM3IaekxxxqCF62C3bBvGbj6IMZsOYPKe05gbcA/zAu5hbkA4HU4XI+Cw1RvVKlSEr5d3sXwvDE4FiIoCoZBGp6hnz3Bw3z5MmzgB3Tt2QOumzVDPqh6MTWqDo2dIIWxvPwVDXD3h6OmLWb434HwuAq4hiVh97x3WR+ZgU5QQbnHAtgTA8zWwPQXweCX/+4djZxrgcj4C1SpUYHAyfQwkmSZJjufr7Y0ZkyejRcOGMNLSQm1zK9Rt1gb1W3eCzahpGLnxEGb43IDrzURseJKDjc/ysCVWIgcwXg7a1jjA7YUUW55LsOW5GJtjRNgcLcSmKMFXh3sisODUXQYnA1I+Vb9JScGJ4/5Yv2YNhvTvB2MdbajWqAmr5u3QfrAD+s1ZgUn7zmJJ8AsKIQFIDp4MbrFy+DbHiOXgfQe+7w0GJwMSGVwu/Ly9MWW8I80XjfUNoVJTBdade2OQy0ZMPXAei4Ni6JTskQS4J8lhJNHvV+BjcDJ9ccomJZ1rQUGY6DAWTevVg0VtCxjWtkLzvvYYufEAnM9HYM2DdGyJlVIgyfRMouKvRkMGJ9MXoeTz+QgJCcHG9evQspE1tGvWhGWj5mg7eCxGbzmCpdfi6JRMgNz6Up4jFnd0ZHAqM5RSKdLS0rB3926MtreHqS4H6upaaDtwNOyWu8PpwhM6RRMQSM5YmIUKg5Ppl6Ik2eaLjonGYqeF6Ni6NfR19GBUpyEGLFiLeSfvYN3jTHgky6fr0gIjg1PBoST9jKG3bmGy4ziYG+rDyNgMTboNwDhPP6y8k0KnbFLaIVGyNALJ4FTQSHk6MBBjR44AR1UFZlbWsLGfhBle17DxmaBU5JAMTiUsBZ08cQIj7eygq6EBI8sG6DvLFQvOPHxfBCeLnLICJINTAaDMy8tD0NWrGNyvH0z19SmUQ5a4Yen1OGyOldCpuyxFSQanAohESnIc1mHkCOipq8HUyhr9F66ne9ckUpLpe0sZjZQMzjIcLZ8+fQqXhQthqqcHY4t66D19CZzORcoXOCSfjBYpBJQMzjK2At+2ZQuaWTeEuooauoydhQVnHtAoSXJKRQKSwVlGRFbgly9dgm3HDtBRU6cloRnHgmjDhSLklAzOMhotnz9/jnmzZ0NXtRZqN2iKYa4eWPco8789bgWGksFZihc8hw4eRKsmjaGhoY3u4+dh8dXn9EEpC5QMziKKcBKJhOaEQqHwowNdP/O1YmJiMNHRERwNDdRr0xlT9p+T7+jQvFKoVGAyOH/tm8Jxf384OzlhyeLFOHjgAAIDA3Hm9GmEh4dTaAsrcvTV388PDc3NweHooe+cFVgV9kY+hcdKlA5KBucviBxrJcdTtVTVMW3KVAQHBeFWyC0sd3WFoZ4+Vq1YWeho+To5Gc4LFoCjpg6rZm0xae9puL0k3eWy39o7yeBUAKW+eYP+fftS6xOnBQs+i5CeHh7YtHFjocC8FnwNtp1soF6jFrqNnwfX0FdKsQpncBaTjhw+TM/UEHcJkiN+KtJhHhYWRqfqD0Ekjb5ky5H8N8lPd+3cCUsTU+iZmGPslsP0YShyzZLBWcwiUI0fNw61qlXH8GF2yP6G3V7BoojkpmT1PX6cI7VJIbnl3FmzoFOrFprY9qcNGiRaKnNuyeAsApGjssQoikzDY0aNQnZ29jc/nqziXZydoaGiCk1VNeioa0BDRYXaRPea4oTV4W9LdbMvg7MMicA2sF9/qNWoiYH9+1Pvn2/pVkgIDHX1qOuukZ4+Hfra2jAxMcPiK1H0h88gZHAWmdavW4fqlavQnDMqKuqL03nBlH7i+Amo1axFAS2Ak1i0kD/nHg+lXUQMQgZnkSnicQQaWNVFtUqVqbMu2dH5sPgeGBBIF0RE5LiEtqoaDDi6/0VOTU1Y1KmHRZefMTgZnEUvUtds0bQZtNTUaDnp+vXrCA0Nxfbt22mOSeqgb968wYxp06GtpgY9LS3oa2lBT1MDehqaGOyygeaZmxWk75LBWcr08uVL7Nu7FzOmT8fiRYuw1W0rfLy9aV5KDK+GDRgIDXUt9J+3Cg5uR9Fl1HR0HjEF47Ydw/qILKXbJ2dwloBIPZO46Obm5tJpnUDbr2cPCuaQpVux+bmYegmtj8ymg5wR31IGTj4yOBWsCeTxo8fo0KoVOHrGGLPpELbEiuEWK6FTuNxdTcLKRgzO3w/m/fv30b5FC+jqG2PirgB5YZ1N3UUKZ0EXWIFxLZm1SEN2waKUwfkFMImHZfsWzeVg7jyVDyZb7BQVnNUrVsRxPz/Ex8djwbx51PO9W5euGDF8OOyGDMV4h3Hw8/OjdtsMzg/AfPDgAdq3JBHTBBMImGTHh4FZ9JHT25tGSnJGn3jEk123CxcuIDY2FpMmTISWmjp62Np+sd9B6eAkYD7MB1NP34RO5VvjWcQs7pzzdmgo3aEjGxsF11iTbeU+PXuh0v/9DYcxY7+7c6fwcD5+TBY/LeVT+e6AMu2sUZrhXBh47yM4Q27efA8n2R4u0M4dO8DR1IKxvgGCg4OUF87XKa/Rt0cPaOvo0amcRkwGZpEOUtX49w0w72RYoeAkN7lZmtVG1QoVaf1ZKeEkLXCD+vWHuqo6Rq7bw6byYhjk57ktQQbni09hM3wCXRCRnPNbcF4LDkad2uao/Pc/2LH9X+WDMzc3BxPHjYOaqjrslntg83MRKxcVcbQkRhEbnuXBfvUOWDZoAlM9XdSsWg2+Pj7fhJNc0GpqaEw7wC5dvKhccJJa2vy5c6BStRp6T12ETTEiutuzKSqPgVUU0TJWgq0vZVh8JQbthjpCR10dMyZNgNcxL9oF5pM/rRMgC+AkjTUFWrN6DW3G6WHbDSmvXysPnGRlvm2LG9SqVYPNiMl0b1wOJoOqKAZZTG6MyoODhzdqN2gGaysreGx1g1gsoeYSlf+p8B5OYmKmWr0GhZPch0mezZMnT9C4QUOYGhrB389feUpJ5Jsnl4aa6OigaZe+cL2VRPfKGVRFl1suvhqDzmNmQlebA/shg3Ev/L8rqcmlrQROP19feqfmImdnmleSqX6i43hafJ83dy5GDrdH0JWrylWEJ0X2RlZWqNOkDf0hskNoRZNbkl7WjVECOLh7w7xhczS0tMAOT8/3l61+BqePL5KSkhAYEEDPYfn7+uHIoUP0duDIyEh6eFCpti9fv36NTm3bgqNvhOlHr8A9gZ33+fVoKcHWeBmWBD1HxxFTYGhgBLtBA3H/3r0vPoMCOH1Y48eHK/NcTB4/HmrVa8B+1U5aMmLnyX9tUGPb52KM3+4HE6tGsDQ2wnYPd9oD+zUxOL+QZ/67fTu0aqnA1mEmNWVlJaNfmMZjRDS3dA1JQPdJC8DR4aBv9+60Nvk9MTg/Efmhmehy0MimJ1aFpcDtBcszf2rk1y1JI8yEXQGwat4eRjra2Lh2Dd6lpxfqWTA4P1BiYiLaNmsGXX0jzDlxhx3f/cWVOPGq7+I4FzpaOhjYuzduXL/+Q8+DwZkv0sg6fcpkaKqoYPSG/djKfIt+OrfcHCvGpD2nYdG4FSyMjbFy2bIf6hZicH6SZx46eABaKiroQvLMGAHLM384txRj20t5tCS5pYa6Jvp17/a+te1nxOAkP4RHj2BtVYfaEJKL7slv/6ZnbGuycENet9z8XILpR6/Cqnk7mOnpYtniRbTX8peei7LDKRAIMG7MWGiqa2Hy3rPYRsBk9cwfWomTezV7zVwGfUMTdO3QHlcuXSqaoKHscO7dsweq1aqhz/TF9IfNpvPCDXrM+YUMU49cRv12XWHK4WDFsmV48yal6GY0ZYYz6lkU3Tpr0LoTzZXodM7A+260JB1EK8NS0XvGUujpG8G2Y0dcvny56NMtZYWTrM7H2NtDU0Mbk/aeyS8bsen8+7s8Ekw7dBH12tnCiMPB8iVLkJqaWjxrAWWF08fLC7pqqrCxm4BNdBeIdbR/q1nDPV6GtQ+46L9wHbQ1tdC+VUsEnjpVvAtVZYSTdLi0b9kSxnUa0G4j1gb3rdxSSps1ZnpfR+POvaGvw8HCOXOQkBBf/FUUZYOT1DTXrlmDWlWqYsSaXfIySDQrtn+tbrk6PA0DXDZB39AM7Zs1oW1r5GTAbynxKRucEY8f0zpc0659seZeGutq/1JuGQe4vZRh7ok7qN+mM4x1dTF3xgwkJyf/3vqzMsFJouaEcQ7UMWLSnkB4JLGa5qfNGu4J+dFy4XroG5vR8/kBJ06UzOaIMsF58eJF6Gmoo+PwidgYlctusfj0kFm8DHOO36Y3fXBUamLOjOnUo6jEdu6UBU6xREI7Y/QNTTHbP5R1HH24yxMvw7pHGRi63BMmFvXQqnFjeB07Rl3cSnRbWVng9PH2ofbX3SctpD2GbBEk3+Vxi5Nhwen7aNFnOAw5upg2aSI1yCoVPQ/KAGdaWhp62tpC37g2Fl2OYpcFRAvpSnzd40wMW7EdhmaWaNeiBbyPHfvo9jkG52/QkcNHoFq1CvrOXi53GFZibyO3WCldic87FY5W/UfASF8f0ydNpGfES5sUHs60d2no0qEDjM3rwPlCpNIe7yW7PMTYdsPTXAxbuQN6RmZo2bgR/Hy86dWJpVEKDydJ7NWrVZNHzRcSbFHC7nZ6JDdBBpeLT9F20Bi6y0MMDJ5ERqI0S6HhJMdOu3boALO61lh4LoKePVfGQ2Ybn/IxcsM+GFrURf3aZjh88ADtYy3tUmg4j/v7Q1ddDbbjZtOm2M1K1HVErpQhdUunC5FoPXAUvXdz3MgR1Pi2rEhh4SSRYUj//tA1MKbbcMqUa5IZYsOTbBotTeo0QH1zc+zZubNMREulgPPsmTMw0tVF+6HjaKFZGeqatFmDGq8+QZtBY6CpqopJDg6IjIxAWZRCwklqdXNmzaJuZNMOX1b4ljhqvEq+x2gBHD19YVqnAeqamcLT3b3MRUuFhzMyIgJ1TE3QtEtvrLmfDrdYmULviZO6JTHHshk1FRxtDuwG9KcOeWVdCgcnucvLfZs7alaugtGbDsgP+SvolE5X4s/4cPzXH6ZW1mhUpw62bdn8TXMsBmcJwpn27h21lKnTtA0WB8XSwrOiNmssCY5Fp5FToauji2EDBnxkvMrgLIVwnj17FupVKqPHhHnYEidRKEuZAlN/kluO3eYFc+sWqGNsiJ3btyMzMwuKJoWDc/RwOxgYmmDakSsK1RZXYI614vZrdBk7EzoaWujdzRbh4eFQVCkUnHFxcbCuY4mG7W2x9lGGwhgkyK0EJZi46xQsm7WHhZEh1q5aSe9FUmQpFJxumzeDo6GFgS6bFCJqbsnPLZeHJKHHVBdoqaqhf88eP2wlyOAsYTj5fD6GDhwIHV1DOJ17XLYPruXXLbfEEuPVU7Bs3BLmRkZYt3r1L5tjMThLAM6QkBBY1TZDiz7DaKNDWTVJIPdokmi57PpL2E5YAF2OPvrYdqG3lymbFAbOrVvcUPXvvzF2y2FqBFAWb74oODYx7dBlmFs3h5kuBytdXRU+t1RoOLOysjBimB30jEzhcvFJmTPkonXLl/KVeO/ZK2FgZIbuNja4UgzmWAzO3wxn+N1wcFRV0HHYeKx9nIktL6RlzxzryBXUb2cLM0MDLF+6tNjMsRicvxnOQwcPoWaFCrBz9aT7zGVhSifRkhgYrLz9Gr1mLIWBkSl62XbFhfPnwKQgcApFItgNHkynwtl+IXIXjzJivEpyS+sOPWBmYADXpUvw5s0bRqQiwZn86hUsDPTR1LYvVoW/pYuh0p5brr73Dr1nrYCeviE6tW2DS0VkU83gLGVwkmlQX00V3Rzn0G730jqlU3OsF8TuJRTWnXpBT0sLs6ZOoXdsMikonLOnT4eergEc/z1RKneFCoxX19x/R60EtXX00KlNa5w6eYIaizEpKJzkKuPObdvCxLIBFl2JLnW7QvSQ2UsZZvuGoEnXvjDm6FJzrJcvXzLyFB1OcpKwcV0rNGjTiTbdlhYnj4Lccs2DdPRfsBZ6hqZo0bABzp09CymLlsoB597du6CrpYXeM5fl9zkKS8FKPD9a+oWgoU1PGHF04DR3TolaCTI4SwDOuTNnQqWmCqbsP5dvziUs0WYNao4VkYVhy92hq2eEFo2s4X30KKNM2eDM4/MxavhwaGvpYNHlZyWab743xwqQm2Nx1NQwa9pUxMTEMMKUEU7i89OicWNYNm5FV8Jk8VFSueXahxkYumI7jEwt0bppE3gdPVJqzbEYnL8BztOBgdCoUQPdJ8zHxmd5v71FruAKlAWB99Cs5xAYcHQxxXEcXrx4wahSdjh37diB6hUqYNT6vTRq/r6DbPJDZmsf8TB89Q4YGJujbdMm8PbyorfCMSk5nOQenGWLl6BWpUqYeuD8bzv+W2DqT6wEW/YeCh0NTYyxH44XsSxaMjjzlZ6ejgF9+kBPzwgLTz8odjip8Wo8sCGSmGPth2lda1hbWtBSVi6fzyhicP4ncsrSyswUTTr3xorQZGyNkxX7kdxFl6Op8SpHXZ1e6BrxOILRw+D8XLdDQ6FRvRo6j5yCdY+ziucIcH603BiVB/vVO2Fi1QANLS2xb8+eMm2OxeAsZjjpSr1aVfSduTT/AgJR0e+Jx8ngfOEJOthNgK6mJhzshyOylNtUMzhLAZy7duyEaoV/YLdsKzySi3ZniEbLaAEc3L1gaGqOBpYW2LNrJ4uWDM7Caea0adBWU8d4Tz94JqOICury3HLJ1efo4jALujoc2A0aiLthYYwSBmfhRIxhu3ZsDxPL+ph7MuyXLyEgK3G6Lx8thIOnLywaNkcDCwtsd3cHj8djhDA4C6+szCw0tLSAVbO2WBwUQzuAfrVuufjqc3QcORWGBkbUSvD+vXuMDAbnjysxMRH1zWvDukM3es77Zxs+3huvbveHhXULNLC0hKf7VmRnZzMqGJw/J9JgbGloiJY9B2N9ZPYPl5HokdxEGVxvJqCrwyxoa2lj2KCBCGO5JYPzVxUcHAwzjg7a9rPHpmhR4ctIH5hjTdwdgDrN28FQWwsb166lO05MDM5fVsCpABioq8LGbnx+GalwuzzEwMA1JAFdHefRlfjA3r1w/do1RgCDs+i0Z/cuaj3TffxceL5G4YxXY8WYsu8MLJu0olaCK5Yupf5KTAzOIoVz7apV0OfowX7Nbmz7xlHgAlN/15BEdJ+4AOpq6ujfoztCb91iT53BWTxwOo4eDQ11TYzd6vWVbqSC3FKKiXsDYdm0DSyNjSnUaWlp7IkzOIsPzhFDh0JNVR0O7t6fwVkQLVeFpaL3TFfo6Ruhc9vWuBYcxJ40g7P44RxlZwdtjj6mHw3Ctg98OKnx6gsZph+9Sq0ETXU5cF2yBCkpzO6FwfmLcBJrlq+NAolEIgzq25eaFMw7GUanb7InTnaJVt5NRa+Zy2i0tO3QHpeZORaDsyjgJLlgcFAQTp44QdvhLl64gPPnz8Pfz4/es0P204lyc3PRp1s36BuZ0WuqPV6RK1CkmHboEhp27AFjXV0sX7yIWQkqAZwkaJFOMXJRBTm79TO+U4WCk3zxSxcvwszYGPraHGzetAl+vr7obGMDjqYWli1ZSt8IOW7bt3t36BvVhtP5SKx9yEXfuaugo6WDbjY2uHj+PHuiCg4ngZB4TR08cABex7wQGBiIfz09ce7M2R/eei70tJ769i26dOqEmlWq4fw5ubvvqRMnoaWmDiN9A1y7do2+sX49e9ITj8NcPdDMdgD0tbXgMn8+sxJUQD1+9OgjOMnzv3r1Kpo1boKunTvjbthdehTbw90duto6GDtmzA+ZpBUaTi6XiyGDBqFW9eo0XyRvhNQkzU1M6Jnwy5cv0xuBB/TpC00NLejrGaBjyxYIOHWKnsZkQ/EG6aOgcHp7v4+kdczNoVajJm7cuPERP/PmzEHlv//BpPETCr3BUmg4yf72oAED6Avv3rWLtq05jBkDfW0dTBw/nr4gsdju3tUW//zvT5gbm2CkvT2WLl4Cp4ULMX/ePDYUaDgvXIixo0fjf3/8QT0BiBY5u6BqhYro2b37Z72214KDoa2uAV0tbbp+KXI4Bw8cSK/Q69GtG+yH2cFY3wDNmzSleQX5TSI555JFi9Cvdx/Y29lhhN1wDBk4CIMHDGRD0cbAgfTZ9urRA7dvhUIkFMGmXXuo1qiJqZMnf3ZshtgTkfWJpqoatm3dWjyRU7V6DZw6dYomt+SsEAG0rqXl+yYNEj0FQiF9c3lk5OUhT8CGwo28PPqMCyB8m/oWZkbGUKleA2tXr/6MnwI4SfRcuWJl8eSc5MUv5K+6aV1zwABU+Ov/MG7sWGZTrcQifLRq3oJGzimTJlF4vwSnhooqPNw9ijhyctPRu2fP93ASEGlds2cvVPq/v+G0YAF7QkosUm50cXZBtUqV0a1r18+uXCQ5J6nskMXzzRs3iw5Okk+SUhEJySThdXF2pkktAZIskLp36YrY58/ZE1Jy3bl9BxamZjQ6kpMLBTMp+ZMsoAi40yZPoUGtyOAk+WXQ1SCsW7sWmzZsoKv1w4cOYc3q1fB0d0d0dDR7MkxUgQEBqGthic4dbegOYlJSEg4fPkw3cMgiOuEH7M0LBSfZnmT2gUyF1ZMnT7Bx/QY4OznBfds2rFq5Et7e3uByf+y4zW+70ppJ+UQWRdmk/v2TLtIMTqZSKwYnE4OTiYnBycTgZGJicDIxOJmYGJxMTAxOJgYnExODk4nBqSCSyr4zPvhY0tn1u9qkZfj6a8ny39uPvJfCfM7PfF0GZzE9/piEPDjcysGA0BwMuJ2DQXdyMOSDMeBmDqY/FYF0FfJ5QqwIy8X2RDGKs+9KKgVS00Q4HCPA3RzZZ+854Y0QK+/koFdIDtZEi/BW8v3v89VbIdbczUXvkBwsiREhQ4IvfF0Blt/OwchwPi6nScsUoAoZObNzJQiJ56O5DxflDnFhG56H0HQxbnMluJsmwpKbmWgUxAcXQNSzbPy17x1MgvlILYYnJxFL8fx1HhZdy4KufwZUz2XhLO8TgJLyMOJqJkwCM1D+GBflfDLQ8a4Ab6Vfi4QyxCfnYWJQJkwLPsc7A6Mihcj+4HuIS+Sj7fks/Jssxp14PrpdzMKm1xIGZ4lLJMbC8xko55WB6TGij6ZVYZ4EwU8FeEX+zhdj+yM+jn3hocm+kA78KL/8HAluvMjDhltZKHeUiwrns3El84OIKpLgygsB7mbKIJBIce5RNqp5cVHuZCZ80mVf+dakeJIixiuBDAKRBN73svDXsXRUvpiD8PwmcylfjJmXMlDlEh/UzkIqwcRLGdC6wsdrGYOzZJUnxvx8OKdGy+GU5YgR+kaMNAnxdZIikSvC5kg+lj/Jw84EMXiy/wBOTRVi3aNcTH3Ax6yIPMyP4GPmwzzczPq5J5uVwoeaPxcVz30Cp1gGgfSDr8kToP1pLsod5+Hg10LnJ0pJzEEl7wy0vCvAG7ltFbgpeWjiy4VuqADUBEYmwYZrPFTwz4I/T8bgLGk45+XDOfqJCMl8CU48yMG6p0IU+E0Ic8VYH8RDub3p0Lici3iZHM1HcbmoeyIDNiG52B+Tizre6Sjnw8OMp0LE5v3cg337ig/VL8D5+RMRomUAFxUv5uLFd2ZgsUSKp2R6P88D50IObuTK3s8PD5/nQPsIF0a3BZC/nAQeNzLxhzcPC19KGJylAk6fDBhczEaPW9mo7ZcBxwgRxB982KMn2ah4lAvTa3w6zUMgwowzBOpMrEwhkUuKf6/z8IcXD6uSfv6hFhbOxAQ+Gp7gYXni918rITkPw85loALJOX156PdAAPlblOF2VA5qHuHC+AM4PW9k0l/WoVFiBmdpiZyTo0WQymS4+SQXHlFCfLgeuRPxH5zJNEkUYvjJDJTzzcRaCqcMh0J5dGE1IVr806vdwsApE4mx9loWJj4SonDZgwxpXCF23MmCJln8efOwLEEOdVhUDmp8Auf2G5ko752BSbEscpYaOKdE5S+I+GI8SBPjrezLcCbJ5AuHI3cyUd6Lh8mxYuTyRXA8nYEaZ7IQwJUWY+SUITw2Fy4PBXgn/S/3LVxJQIK9tzPx51EuRjyRf68v43NhfIwLg9sCeRojk2DdNR7+58vDttdSBmdJw7ngwn9wSvOftlAKSD546mEfwJmY/8zEAjH2h2ejb3A2htzKxrT7ebiXLf1oGc/LkyHzB2bHd8nyBVGlc9kI+oLJWspbAVY9yMPtbCneCWRI5Ilx65UIb/LfK18gw1uhTA6sVAaeQPbRRkJqMh9mRzLgnJ8OCN4JYHOCC82QfDjFYky7koE/T2UjhM9W6yUqqVCMWWflcE6L+fp0THLOCke4MLvOx9v8eBUZz8fsW3zsTRLiUIIIp1PEeJAhhSCfhpev+Gh0MgPNQvIQJyrM5AtwE/mo5cvF32eycS3r46gozhVhwWUe/vLPQI0AHiqd5KHicR76PBLRjQFJjgiTLvHAOZuNsxkyJCXlokFgJlxiRODnl7fCorLRL4iPewXgiaXYeSsTVc7kIIaUwURiDDibgcZhAuSwOmdJSYaEFCGc72RB25uL8ke5MLyUDdcYIZI/SbWyeCLMushD+cPpKH8iE26vJCDxaN8NsgAixfD84cXFn8d5GHSfLDhkiIrLQdXD6ah+IQcPBd+efMV8MY48zcXgCzyUP5qO8j4ZsLmZgwOvJfIdKYEEbtfz38MxrnwcIR/Hg0u8/LdByBOg68l0lPfOxK43Urx+m4c2geRjM2AbmosdLwTweZqH0MyP3wufJ4LzzSyMC8+FS3gOHO/wEZpTdvaIFDJyvnknwv4XQhxNEsHvlQhH4gU4mCii9c0PlZstRkCCkH6MT7wQV95JaBR6Hs9Hq4AM/Omfgf8dl4/y/lz84ZWJPWlSQCRFaLIIYTwpvpe9SQQSXHwpwO4EIXxfyd/PvjgBzr+TyD9XKMH1ZCF88t8rHUlCnHgtRrLwvzTieaoI51MlKMguUrli+CUKsTdOiIDXYnC/kmJI+RIEvCCvL8IbUdl6jqwr6VMJxVh3PQvDHwiRIpAhTSjDW4EUd5/nov7JfDiZGJwlBeemm1kYGpqLQ/FCHEwQwjtJiJORudgaJUQqc+VhcJaoRFLcSxJgeQQfThF8LHsqQHD+lM/E4GRiYnAyMTiZmBicTIoF5/8DdWcuH8gYBjEAAAAASUVORK5CYII=)
Answer:(i) Since OACB is a quadrant, it will subtend 90° angle at O
Area of quadrant OACB =
*
r2
=
*
* (3.5)2
=
*
* (
)2
= ![](data:image/png;base64,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)
=
cm2
(ii) Area of ΔOBD =
* OB * OD
=
* 3.5 * 2
=
*
* 2
=
cm2
Area of the shaded region = Area of quadrant OACB - Area of ΔOBD
=
- ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAAhCAMAAAAieUHKAAAAAXNSR0IArs4c6QAAADlQTFRFAAAAAAAAAAA6AGa2OgA6OpDbZgAAZgA6Zrb/kDoAkDo6kGaQkNv/25A62////7Zm/9uQ//+2///bgd/UBAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAUklEQVQoU2NgQANCnIxAwMwgxM3HIMTFA5blZwZTxHHRDcTBB9kCBESqRlImyAZyHoMgOw8DPxPEfQIsEJqXFdm5vBBXgxzPz8EA0sbIyIHLPgA3twIog8IFlQAAAABJRU5ErkJggg==)
= ![](data:image/png;base64,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)
=
cm2
Question 13.In Fig. 12.31, a square OABC is inscribed in a quadrant OPBQ. If OA = 20 cm, find the area of the shaded region. (Use π = 3.14)
![](data:image/png;base64,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)
Answer:In ΔOAB,
OB2 = OA2 + AB2
= (20)2 + (20)2
= 20![](data:image/png;base64,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)
Radius (r) of circle = 20
cm
Area of quadrant OPBQ =
× 3.14 × (20
)2
=
× 3.14 × 800
= 628 cm2
Area of OABC = (Side)2
= (20)2
= 400 cm2
Area of shaded region = Area of quadrant OPBQ - Area of OABC
= (628 - 400)
= 228 cm2
Question 14.AB and CD are respectively arcs of two concentric circles of radii 21 cm and 7 cm and centre O (see Fig. 12.32). If ∠ AOB = 30°, find the area of the shaded region
![](data:image/png;base64,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)
Answer:Area of the shaded region = Area of sector OAEB - Area of sector OCFD
=
*
* (21)2 -
*
* (7)2
=
*
[(21)2 – (7)2]
=
*
[(21 – 7) (21 + 7)]
= ![](data:image/png;base64,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)
= 8624/84
=
cm2
Question 15.In Fig. 12.33, ABC is a quadrant of a circle of radius 14 cm and a semicircle is drawn with BC as diameter. Find the area of the shaded region.
![](data:image/png;base64,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)
Answer:![](data:image/png;base64,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)
As quadrant is 1/4 th of a circle and area of circle is Πr2
Area of quadrant = ![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
=154 cm2
Area of triangle= ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH8AAAAzCAYAAAC+J9cEAAAGPElEQVR4Xu2cZah1RRSGn89ubBSsH3ajIrZid4udGKBidycqKgaCidiBGBjYigEKtlio2ImNGNg8MBsOxx2zT9zz7X1m4HJ/3Dl7r/W+a9aaFedOIq2xRWDS2GqeFCeRP8ZGUIf8xYELgN2AH8cYs9aoXkX+HsCiwNzABsB0wNLAd61BYIwVqSJ/+XDKPwHuAFZL5LfHWqrI79T0zkR+e4hXk0R+u/ispU0ivxZc7dqcyG8Xn7W0SeTXgqtdmxP57eKzljaJ/FpwtWtzG8ifCtgSmKGCmu+BF4BvRkjhtMBWwDTAZ8CfwMzAnMCXwONBtrWABYAfQp1lSmB+4B/gHuC3QejQFvI3AuYCTgu/TwG+7gJoMeAA4AHgMOCnQQBY8xmSv3GQ8Qxg3lAyfw14B3gxPG8VYBFgZ2AT4DHgxmAIDwajqfnq/29vA/mZVjMBrwCe8NWBv3LQ0UgeAq4D9gH+7RvB3h4wB/Am8C2wEvB7wWOsqm4fimvP9faq4k+1ifzlgFeBi4AjClSeHXgD8ATaqBpVCNCtPwXcHBpleeIaxl4CNOplhtFMq0P+fcECl8xxqVVGKTEC/UXVRmAKYG3gaeDviP3ZFl36FcDmwbXnfXSe4F5/CYDqJbrXRMh6EnBmIF4DyFtLBWPW5ev6B76qyD8kxB7d1AqAl6sPgLeCyzS2/hwhlSdxz6BEmQFI/KnAZsEAJCl23Q2sH0705wUfUgZd/lUh/udtG7asYv4osAawLPBugax2VK8Hjg73glgcovdVkR/9oIqNGalblxhAzJ6i12Tx3hgqqHkew9b0E8B7wDYlbjRGjpg9RbIaeoz3esKVS+L9TcCuwKrA84MiovM5E0W+7ywDrB8wfXZZvJ8a2AU4AbgNOA/4tQ9j7VdWjfOZ4IH2LpDDuQnj/SyhhT6UzGQiyS8ygH7B9LlZvHfSyEtftgRRb2OebJx9ucYJypNrELJqhGcDDwMfFcgzG7BtCA+b1pC51tZO8o21g1inR54qCzPGdokrCwcxMhnv1wvxPu9O4SX1EeBe4NAaeXJG9qBkFW9J97ZfFu/1CNcCRwEXxgDQy55RkN/pAQ4MlS5vs1/1ogAwYzjRjpatWZIhHAecE8i/tMa7MgMYhKyx8f5WYKdhxnv1n2i3n2Hue08O+fiH4RLYK/nmwK9X5Pe+V++ihzB1ch4xdg1S1ph4b35vpc+yr/OSQ4n3oyI/A3MHYAvAEyUZvZ7+fYGrK/J7dd0fuDK4fuvrMWvQsmbx3gnoqvzedHBo8X4U5HeCqWKfhizg3D4MwNnCDSvye2/8gmnxSIO7P4L5Qcs6WcX7iSY/D8yMA+NqLwaQxXsrdUX5ve+wcOPF6XLg4NAdK+N/GLLGxvuh5/edsTfiEPS9RTBPDPm2zRVPfPfSAM4H1q0RAlYM8fFi4PCcZwq4nb79gEsAK5J/VGgzLFnVy5bt7eEylyeGcd50dPoQ74f65ZiqC5+EWCDRXVoXF8z3w+WqM5+uso6DAH+M6x+XbM4MwK6cqVteedcSs+1QUyVbn5aeLZHa9cq6dOb184VM4FngGuDtKiHD3wcpq3WGs4AlgAXDl14sMFlltIhj9qHMpnZiY8/e1rR9e2sAYuU9YSgNqDLyJcIX22s2RiqkQwgK7CXNnrgXqJhlX8DbfGxjxwugpySvLRvzvn72NEnWfvQsTfU8eVqrxYbOpQHYjjQN8eRZp06rgQiUnXxd5ULA8WH8qVO9I0OnyRh9TAP1TiJXFHns39sbz2t/ZgWTu4DtEpLNRKDs5HuTtoBiKbT7spT1xW8Iffpmaj/mUlfd9ovgyWbL7DxZMk2rgQj0Qr5DEY5AO2Yl+Y4fp9VABOqSb/58S/iHDY4gd49HNxCC8RW5LvlW0XYPDYdeu3Dji/Zkpnkd8h1o8AK4V5iNn8xUSeLURSCWfJsmOwLHds2/We7NG3+uK0faPwIEYsh3WMKvDTnm1Xm5s9JnHdwvSaTVQASqyLfC55jzZTm3+oWBdULTpIGqJ5HLyLe75Jca/Z03Bz8r4DTOkwnGZiJQRn42VFCkmR03c35n8NJqIAJVbr+BKiWRYxFI5Mci1cJ9ifwWkhqrUiI/FqkW7kvkt5DUWJUS+bFItXDff6eJaUMVRI6AAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
= 7 × 14
= 98 cm2
In right angle triangle ABC,
BC2 = AB2 + AC2
BC2 = (14)2 + (14)2
BC2 = 2(14)2
BC= 14 √2 cm
Hence diameter is 14 √2 cm.
Radius is (14 √2)/2 = 7 √2 cm
So, area of the semicircle = 1/2 πr2
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMsAAAAzCAYAAAA5OvxHAAAIK0lEQVR4Xu2dZ+juNBTGf9etuHDhVlyIe+NW3Bv3XjhBcYN7K25R1C+KuBBFxQFOFPfeW0HErSjuiVt5IIXSm/Y9bZPe9r0JXO6H9yQ5eU6f5iR5mv8EUkkIJARMCEwwWSWjhEBCgESW9BAkBIwIDIUsSwIXAXsCPxjH1pXZFMDuwHrA3MBswPvAJcBrOSesdl35nfqpiUCfybI3sAQwF7AxMB2wDPBtzTHGNBcBTgReB+4B/gOmAc4FDgGOBK4ErHYxfU1tt0Sgz2RZwc0inwC3AWv2kCwbAgsB1xTiIMI87vxd3c04Fru3W8YzVY+IQJ/Jkh/27T0ly9XAwsAJwIuFOB3jUscLXWpmsTs2YqxT0y0RSGRpB+DdwFbAVcDBhaa2Be4E7nCpmcVuh3bupNoxEUhkaYfuysABwGXAu4Wm9gGuA25wv1vsVCeVniKQyBIvMFpn7Qhs72aYsp6sdvE8TS2bEEhkMcFU20i7eFrDPOHI8ldJC1a72g6kCuERSGQJj+mUwE1u23sz4KuSLqx24T1MLTZCIJGlEWyVlY4C9gK2AL6ssLTahfcwtdgIgUSWRrCVVtrGLfj3Bb6raNpqF9a7+q3NCXxdv9p41khkCRfXtYFdgOOA33LNSv6SJ47VLpxnzVrSTp8kRlJP/O1pQofGUil8736fBbjUSX2a9disVmcyokSWZgEq1loW2A04Dcgv5nWSf6jTiamO1S6MV81bmQF4EJgWWMNDll2BM12qKR2cynLAzYB+e7N517VqdiojSmSpFRuvsU7mtwOuKBBFxosB6wPZSb/Frr1H7VvY3xFfmxNFsiwFPONmUOne8uViYEVgUw8W7b2auAWr3CiIjGgoZNFJubRhClTZ7lJZMJZ3efcXhmjpTSX1sLZ8/zHYK6e/F9D/PvtZgZ2At4x2jxr6jDmebIZYBDgcmMlDFhHkIEBpmASk+bKlE5SKYM+VjCWk/1a5URAZUZ/JomAtDswOrARMBXwAvOPUvacCPxserqMBnYxvDlQRRkRRGqWAizC/Gtq+Edijwk65vs5SzjLafWjoM+Z4pOwW7pohHvKQZWrgBUeUBYFPC/6uBjwPnAGcXjKWkP5b5UZBZER9JovhuTGZZCSQVquMMBYbU2cdGFl8tdj4XNWW95PAR8AjHrJMD7zh0ksfWbQm0+/3uZeOrw+LbxYbtW2VGwWREVnIIsfnd99kNH0W/gU+A/T/pChV4FsDMyn8Luszxng0A+rh0yJdxUcW9fuUS818ZFFq9qqbfZQ2l6WyMfwvYhVcRmQhiz64kkReJ85Ni0iiqbCrXRLrG22IRMnG5vO96Xi0a3eE2/rNdvN8ZFHf57nFvVKu4mcJWp/d6tZoqwB/VDwwIf0vdhNFRmQhS1OC1KmntUKIoly5qmQB0qGg1iaS1VelZ8W2QvlpHWvs8WR+aNv7ZeC9nGNlZFkAeAk4G7g8Z69nSdvJJ7uXosjyZ+R4+JqPJiOa3MgicDPC6EBNqaHWMVWylHxA+kaWtuNR/UVdWqXNinwpI4tsNnKbALoTQdmCnqOd3eGrzme0tbyOMe1uEw8fWaLJiPpCFuubNoSdxnwKoF0Z7T7VIUuI/kO30WY82mHUF526XKM4C1SRRWOY12ngtC6RYkHb3mpPC3ytF0QeS2njf7H9qDKiyY0sWWCUW2/t5BqScwyVMG3Ho0W40qmPPU/1Ju4LT+1sac15gecDt2I1HUY+AEgbd72BKW39z3cRXUZkIcvSbgdEB2xNy0/Aup5DrKbtNamXD4wUwTojUAqgBesQCRNzPJohnnUg++QuunFHmrDidzpaYx3mLuoYdQgc0v9OZEQWsuiBmq/lbpim6s+NOWwTIoyq4wtMVmeIhIk9niqyaBdM28f6ZkczSFZ0BqMDSR0UnjQiICH9t8qNRj0jI3+3kGVkIz030BgVPF2EpzSheOos90UY3cKyQaCUbA7gm0i4dDEePfjaHdPMsWphPaOF+8NO7aD70bKitY9SN+nf8qrrIgwh/bfKjSwyopHh6jNZQkmvpfrVP61LfLl5foYRYdYCJNCzyF18AEupK6nIKy5VKQuCzii0HqhbYo5HB42SESnl1gGjiraJf3HbwrrDTWcySrdEpqeBmYEDAb0gdKngqBtDQ/pvlRtZZEQj49BXsoSUXktXpq3hUTl0NsNo/aI3p+8bjpGAAvO484oZK4x/d/L2Jm+8rsfjG4bio80BvViEkxb1VmVvH/y3xHEim76SpVPpdSPkyispp9ciV+cNus61WLRhItyPD9xvai4yAn0lS6fS68AY6+MnKXOlkC4WfVSlPF83WFbl9YFdSs2FQKCvZOlUeh0CyFwbWuTqnuOiLipb2OqWSmvKEti11FwbBPpKlk6l120ArFFXJJJ6u3iJeI0mkumkRKCvZKnCJLj0uoMA6NKKc9xapuzCvQ7cSF20QWBoZIkivW4DoLHu+cBjwP1G+2TWQwSGRJZo0uvIcdHfZbnLXVzxY+S+UvMRERgSWaJJryPiq6alcNYfNNL3M6kMGIGhkCWq9Dpi/HSaL72UDjklB0llwAgMgSzRpdcR46cDSF2DpE929TdcUhkwAn0nSyfS64jxy/6g0X7AtRH7SU13gECfydKZ9DoizrqlUsJBKXG1yE9lwAj0lSydSq8jxk+34ugvfyWyRAS5q6b7SpZOpdcRwb7FfYuunbAmcvyIrqWm6yLQV7LUHUeyTwhERyCRJTrEqYNxQSCRZVwimcYRHYFElugQpw7GBYFElnGJZBpHdAQSWaJDnDoYFwT+B0gbMlL4dqVBAAAAAElFTkSuQmCC)
= 154 cm2
Area of segment BC = Area of semi-circle - Area of Triangle = 154 - 98 = 56cm2
Area of the shaded region = Area of semi Circle - Area of segment BC = 154 - 56
= 98 cm2
Question 16.Calculate the area of the designed region in Fig. 12.34 common between the two quadrants of circles of radius 8 cm each
![](data:image/png;base64,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)
Answer:First, let us understand how we can acquire the given Area
From the figure first we need to subtract Area of quadrant from the square and then again subtract another quadrant from the square, by this, we will get the Area of the unshaded region
And finally to find Area of the shaded region we can subtract Area of the unshaded region from Area of square.
Radius of quadrant = length of square
= r
= 8 cm
We can interpret from above that:
Area of unshaded region = 2(Area of the square - Area of the quadrant of the circle)
Area of shaded region = Area of square - 2(Area of square - Area of quadrant of circle)
Area of shaded region = 2 (Area of quadrant of circle) - Area of square
= 2 × (1/4)πr2 - 8 × 8
= [(1/2) × π × 82] - 64
= 32π - 64
= 32(π-2)
= 32 × 1.14
= 36.54 cm2
Therefore, area of shaded region is 36.54 cm2
Find the area of the shaded region in Fig. 12.19, if PQ = 24 cm, PR = 7 cm and O is the centre of the circle.
Answer:
As, ΔPQR is in the semicircle and we know angle in the semicircle is a right angle, therefore PQR is a right-angled triangle.
[ If an angle is inscribed in a semi-circle, that angle measures 90 degrees.]
Here, QR is the hypotenuse of ΔPQR as lines from two ends of diameter always make a right angle when they meet at the circumference of that circle.
Hence by Pythagoras theorem we get,
Pythagoras Theorem : It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
QR2 = PQ2 + PR2
QR2 = 242 + 72
QR2 = 576 + 49
QR = 25 cm
Diameter = 25 cmOr, radius = 12.5cm
Area of right angled triangle triangle =
= 12 × 7
= 84 cm2
= 245.3125 sq cm
Hence,
Area of shaded region = Area of semicircle - area of ΔPQR
= 245.3125 – 84
Area of shaded region = 161.3125 sq cm
Question 2.
Find the area of the shaded region in Fig. 12.20, if radii of the two concentric circles with centre O are 7 cm and 14 cm respectively and ∠ AOC = 40°.
Answer:
Area of the shaded region = Area of Bigger sector – Area of Smaller Sector
If r2 and r1 are the two radii of Bigger and Smaller circles respectively, then:
Area of bigger sector = 40/360 πr22
Area of smaller sector = 40/360 πr12
Question 3.
Find the area of the shaded region in Fig. 12.21, if ABCD is a square of side 14 cm and APD and BPC are semicircles.
Answer:
It can be observed from the figure that the radius of each semi-circle is 7 cm
Area of each semi-circle =r2
= *
* (7)2
= 77 cm2
Area of square ABCD = (Side)2
= (14)2
= 196 cm2
Area of the shaded region= Area of square ABCD - Area of semi-circle APD - Area of semi-circle BPC
= 196 - 77 - 77
= 196 - 154
= 42 cm2
Question 4.
Find the area of the shaded region in Fig. 12.22, where a circular arc of radius 6 cm has been drawn with vertex O of an equilateral triangle OAB of side 12 cm as centre.
Answer:
We know that each interior angle of an equilateral triangle is of measure 60°
Area of sector = r2
= x
x 6 x 6
= cm2
Area of triangle OAB = x (12)2
= 36 cm2
Area of circle = πr2
= × 6 × 6
= cm2
Area of shaded region = Area of ΔOAB + Area of circle - Area of sector
= -
= (36 +
) cm2
Question 5.
From each corner of a square of side 4 cm a quadrant of a circle of radius 1 cm is cut and also a circle of diameter 2 cm is cut as shown in Fig. 12.23. Find the area of the remaining portion of the square.
Answer:
Each quadrant is a sector of 90° in a circle of 1 cm radius
Area of each quadrant = *
r2
= *
* (1)2
= cm2
Area of square = (Side)2
= (4)2
= 16 cm2
Area of circle = πr2 = π (1)2
= cm2
Area of the shaded region = Area of square - Area of circle - 4 × Area of quadrant
= 16 - - 4 *
= 16 - -
= 16 -
=
= cm2
Question 6.
In a circular table cover of radius 32 cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in Fig. 12.24. Find the area of the design (shaded region).
Answer:
Radius of the circle "R" = 32 cm
Draw a median AD of the triangle passing through the centre of the circle.
⇒ BD = AB/2
Since, AD is the median of the triangle
∴ AO = Radius of the circle = 2/3 AD [ By the property of equilateral triangle inscribed in a circle]
⇒ 2/3 AD = 32 cm
⇒ AD = 48 cm
In ΔADB,
By Pythagoras theorem,
AB2 = AD2 + BD2
⇒ AB2 = 482 + (AB/2)2
⇒ AB2 = 2304 + AB2/4
⇒ 3/4 (AB2)= 2304
⇒ AB2 = 3072
⇒ AB= 32√3 cm
Area of ΔABC = √3/4 × (32√3)2 cm2
= 768√3 cm2
Area of circle = π R2
= 22/7 × 32 × 32
= 22528/7 cm2
Area of the design = Area of circle - Area of ΔABC
= (22528/7 - 768√3) cm2
Question 7.
In Fig. 12.25, ABCD is a square of side 14 cm. With centers A, B, C and D, four circles are drawn such that each circle touch externally two of the remaining three circles. Find the area of the shaded region.
Answer:
To Find: Area of shaded region
Given: Side of square ABCD = 14 cm
Radius of circles with centers A, B, C and D = 14/2 = 7 cm
Area of shaded region = Area of square - Area of four sectors subtending right angle
Area of each of the 4 sectors is equal to each other and is a sector of 90° in a circle of 7 cm radius. So, Area of four sectors will be equal to Area of one complete circle
Area of 4 sectors = Πr2
Area of square ABCD = (Side)2
Area of square ABCD = (14)2
Area of square ABCD = 196 cm2
Area of shaded portion = Area of square ABCD - 4 × Area of each sector
= 196 – 154
= 42 cm2
Therefore, the area of shaded portion is 42 cm2
Question 8.
Fig. 12.26 depicts a racing track whose left and right ends are semicircular.
The distance between the two inner parallel line segments is 60 m and they are each 106 m long. If the track is 10 m wide, find:
(i) The distance around the track along its inner edge
(ii) The area of the track.
Answer:
(i) Distance around the track along its inner edge = AB + semicircle BEC + CD + semicircle DFA
= 106 + ( × 2πr )+ 106 +(
× 2πr) [Perimeter of semicircle is half of circle and perimeter of circle is 2πr)
= 212 +( × 2 ×
× 30) +(
× 2 ×
× 30)
= 212 + (2 × ×30)
=
= m
(ii) Area of the track = (Area of GHIJ - Area of ABCD) + (Area of semi-circle HKI - Area of semi-circle BEC) + (Area of semi-circle GLJ - Area of semi-circle AFD)
Area of semicircle is half of circle and area of circle is πr2
Also area of rectangle = length x breadth
= (106 × 80 – 106 × 60 )+( ×
× (40)2 -
×
× (30)2) +(
×
× (40)2 -
×
× (30)2 )
=[ 106 (80 – 60) ]+[ × (40)2 -
× (30)2]
= [106 (20)] +[ (40)2 – (30)2]
= 2120 +[ (40 – 30) (40 + 30)]
= 2120 + (22/7) (10) (70)
= 2120 + 2200
= 4320 m2
Question 9.
In Fig. 12.27, AB and CD are two diameters of a circle (with centre O) perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.
Answer:
Radius (r1) of larger circle = 7 cm
As OD = r2 = 7 cm
Radius (r2) of smaller circle = cm
Area of smaller circle = π (r2)2
= x
x
= cm2
Area of semi-circle ACB = 1/2 Πr12
= x
x (7)2
= 77 cm2
Area of triangle ABC = x AB x OC
As AB = OB + OA
⇒ AB = 7 + 7
⇒ AB = 14 cm
Area of triangle ABC = x 14 x 7
= 49 cm2
Area of the shaded region
= Area of smaller circle + Area of semi-circle ACB - Area of ΔABC
= + 77 – 49
= 28 +
= 28 + 38.5
= 66.5 cm2
Question 10.
The area of an equilateral triangle ABC is 17320.5cm2. With each vertex of the triangle as centre, acircle is drawn with radius equal to half the length of the side of the triangle (see Fig. 12.28). Find the area of the shaded region. (Use π = 3.14 and= 1.73205)
Answer:
Let the side of the equilateral triangle be a
Area of equilateral triangle = 17320.5 cm2
(a)2 = 17320.5
(a)2 = 17320.5
a2 = 4 × 10000
a = 200 cm
Each sector is of measure 60° as each angle of an equilateral triangle is 60º.
Area of each sector = × π × r2
= × π × (100)2
=
= cm2
Area of shaded region = Area of equilateral triangle - 3 × Area of each sector
= 17320.5 – 3 *
= 17320.5 – 15700
= 1620.5 cm2
Question 11.
On a square handkerchief, nine circular designs each of radius 7 cm are made (see Fig. 12.29). Find the area of the remaining portion of the handkerchief.
Answer:
Radius of circle is 7 cm.
Diameter of the circle is 14 cm.
As 3 circles are there on one side of the square.
The side of the square will be 14 × 3 = 42 cm
Area of square = (Side)2
= (42)2
= 1764 cm2
Area of each circle = πr2
= × (7)2
= 154 cm2
Area of 9 circles = 9 × 154
= 1386 cm2
Area of the remaining portion of the handkerchief = 1764 - 1386
= 378 cm2
Question 12.
In Fig. 12.30, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the
(i) Quadrant OACB
(ii) Shaded region.
Answer:
(i) Since OACB is a quadrant, it will subtend 90° angle at O
Area of quadrant OACB = *
r2
= *
* (3.5)2
= *
* (
)2
=
= cm2
(ii) Area of ΔOBD = * OB * OD
= * 3.5 * 2
= *
* 2
= cm2
Area of the shaded region = Area of quadrant OACB - Area of ΔOBD
= -
=
= cm2
Question 13.
In Fig. 12.31, a square OABC is inscribed in a quadrant OPBQ. If OA = 20 cm, find the area of the shaded region. (Use π = 3.14)
Answer:
In ΔOAB,
OB2 = OA2 + AB2
= (20)2 + (20)2
= 20
Radius (r) of circle = 20 cm
Area of quadrant OPBQ = × 3.14 × (20
)2
= × 3.14 × 800
= 628 cm2
Area of OABC = (Side)2
= (20)2
= 400 cm2
Area of shaded region = Area of quadrant OPBQ - Area of OABC
= (628 - 400)
= 228 cm2
Question 14.
AB and CD are respectively arcs of two concentric circles of radii 21 cm and 7 cm and centre O (see Fig. 12.32). If ∠ AOB = 30°, find the area of the shaded region
Answer:
Area of the shaded region = Area of sector OAEB - Area of sector OCFD
= *
* (21)2 -
*
* (7)2
= *
[(21)2 – (7)2]
= *
[(21 – 7) (21 + 7)]
=
= cm2
Question 15.
In Fig. 12.33, ABC is a quadrant of a circle of radius 14 cm and a semicircle is drawn with BC as diameter. Find the area of the shaded region.
Answer:
As quadrant is 1/4 th of a circle and area of circle is Πr2
Area of quadrant =
=154 cm2
Area of triangle=
= 7 × 14
= 98 cm2
In right angle triangle ABC,
BC2 = AB2 + AC2
BC2 = (14)2 + (14)2
BC2 = 2(14)2
BC= 14 √2 cm
Hence diameter is 14 √2 cm.
Radius is (14 √2)/2 = 7 √2 cm
So, area of the semicircle = 1/2 πr2
= 154 cm2
Area of segment BC = Area of semi-circle - Area of Triangle = 154 - 98 = 56cm2
Area of the shaded region = Area of semi Circle - Area of segment BC = 154 - 56
= 98 cm2
Question 16.
Calculate the area of the designed region in Fig. 12.34 common between the two quadrants of circles of radius 8 cm each
Answer:
First, let us understand how we can acquire the given Area
From the figure first we need to subtract Area of quadrant from the square and then again subtract another quadrant from the square, by this, we will get the Area of the unshaded region
And finally to find Area of the shaded region we can subtract Area of the unshaded region from Area of square.
Radius of quadrant = length of square
= r
= 8 cm
We can interpret from above that:
Area of unshaded region = 2(Area of the square - Area of the quadrant of the circle)
Area of shaded region = Area of square - 2(Area of square - Area of quadrant of circle)
Area of shaded region = 2 (Area of quadrant of circle) - Area of square
= 2 × (1/4)πr2 - 8 × 8
= [(1/2) × π × 82] - 64
= 32π - 64
= 32(π-2)
= 32 × 1.14
= 36.54 cm2
Therefore, area of shaded region is 36.54 cm2