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Question

Mathematics Question on Circles

In the given figure, the radius of each outer circle is a, then the radius of the inner circle isIn the given figure, the radius of each outer circle is a, then the radius of the inner circle is

A

(2+1)(\sqrt 2+1)

B

(a2+1)(a\sqrt 2+1)

C

(21)(\sqrt 2-1)

D

(a21)(a\sqrt 2-1)

Answer

(a21)(a\sqrt 2-1)

Explanation

Solution

The correct option is (D): (a21)(a\sqrt 2-1).