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In the following figure, a circle a insc...

In the following figure, a circle a inscribed in square ABCD and the square is circusmscribed by a circle. If the radius of the smaller circle is r cm, then find the area of the shaded region (in `cm^(2)`).

A

`((pi-2)/(4))r^(2)`

B

`((3pi-4)/(2))r^(2)`

C

`((pi+2)/(4))r^(2)`

D

`((pi-2)/(2))r^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Diagonals of the square meet at the centre of the circles.
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