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In the adjoining figure ABCD is a square...

In the adjoining figure ABCD is a square . Four equal semicircles are drawn in such a way that they meet each other at 'O' . Sides AB,BC, CD and AD are the respective diameters of the four semicircles. Each of the side of the square is 8 cm. Find the area of the shaded region :

A

`32(pi-2) cm^2`

B

`16(pi-2) cm^2`

C

`(2pi-8) cm^2`

D

`(3/4pi-4) cm,^2`

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The correct Answer is:
A
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