CBSE BOARD XII, asked by Yoyotoy, 1 year ago

PQRS is a cyclic quadrilateral. If the area of the shaded part is 72/7 sq units then find the radius of the circle

Answers

Answered by bhavyar913
0

R.E.F. Image.

Area of should part.

A=πr

2

−a

2

=

7

72

sq. unit

Putting the value of a

πr

2

−(

2

2r

)

2

=

7

72

7

22

.r

2

2

4r

2

=

7

72

7

22r

2

−14r

2

=

7

72

8r

2

=72

r

2

=9

r = 3 unit

Circle Area =πr

2

square Area =a

2

d = 2r

a=

2

d

a=

2

2r

[Δ QRS. d

2

=a

2

+a

2

(2r)

2

=2a

2

a=

2

2r

]

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