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The figure shows the rectangle ABCD with...

The figure shows the rectangle ABCD with a semicircle inscribed inside it as shown. What is the ratio of the area of the circle to that of the semicircle?

A

`(sqrt(2)-1)^(2):1`

B

`2(sqrt(2)-1)^(2):1`

C

`(3+2sqrt(2))^(2):1`

D

None of these

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