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A square is inscribed in a circle then ...

A square is inscribed in a circle then another circle is inscribed in the square . Another square is then inscribed in the circle. Finally a circle is inscirbed in the innermost square . Thus there are 3 circles and 2 squares as shown in the figure . The radius of the outer - most circle is R .

What is the radius of the inner - most circle ?

A

`(R)/(2) `

B

`(R)/(sqrt(2))`

C

`sqrt(2R) `

D

none of these

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The correct Answer is:
A
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