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A square is inscribed in circle of radiu...

A square is inscribed in circle of radius R, a circle is inscribed in the square, a new square in the circle and so on for n times.
Sum of the areas of all circles is

A

`4piR^(2)(1-(1/2)^(n))`

B

`2piR^(2)(1-(1/2)^(n))`

C

`3piR^(2)(1-(1/3)^(n))`

D

`piR^(2)(1-(1/2)^(n))`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

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