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Question

In the figure PQRS is a cyclic quadrilateral. If the area of the shaded part is 727sq. units then find the radius of the circle.
1292202_89ebac11d4bf433cac1ffcc2fad8f5a1.png
  1. 2 units
  2. 7 units
  3. 4 units
  4. 3 units

A
4 units
B
2 units
C
7 units
D
3 units
Solution
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R.E.F. Image.
Area of should part.
A=πr2a2=727 sq. unit
Putting the value of a
πr2(2r2)2=727
227.r24r22=727
22r214r27=727
8r2=72
r2=9
r = 3 unit
Circle Area =πr2
square Area =a2
d = 2r
a=d2
a=2r2 [Δ QRS. d2=a2+a2(2r)2=2a2a=2r2]

1194897_1292202_ans_55ac1694f34f45dd92f477349bd48cbf.jpg

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