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Three circles A, B and C touch each othe...

Three circles A, B and C touch each other as shown below. The radius of each of the circle A and B is `( sqrt(2) + 1)` cm, while that of the smaller circle is 1 cm. The perimeter of the shaded region is

A

` (pi)/(2) ( 2 sqrt(2) - 1) cm `

B

`(pi)/(2) (2 + sqrt(2)) cm`

C

` (pi)/(2) ( 2+ sqrt(2)) cm `

D

`(pi)/(4) (2 - sqrt(2)) cm `

Text Solution

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The correct Answer is:
B
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