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Three equal circles each of diameter d a...

Three equal circles each of diameter d are drawn on a plane in such a way that each circle touches the other two circles. A big circle is drawn in such a manner that it touches each of the small circles internally. The area of the big circle is

A

`pid^2`

B

`pid^2(2-sqrt3)^2`

C

`(pid^2(sqrt3+1)^2)/2`

D

`(pid^2(sqrt3+2)^2)/(12)`

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