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In the following diagram four circles ar...

In the following diagram four circles are tangent to every other circle. The radius of each of the circles A,B and C is 1. Find the radius of circle D, which is tangent to all the three given circles and lies at the centre.

A

A) `1/(3+2sqrt3)`

B

B) `1/(3-2sqrt3)`

C

C) `2sqrt3-3`

D

D) `1/(3-2sqrt2)`

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