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Three equal circles each of radius `r` touch one another. The radius of the circle touching all the three given circles internally is `(2+sqrt(3))r` (b) `((2+sqrt(3)))/(sqrt(3))r` `((2-sqrt(3)))/(sqrt(3))r` (d) `(2-sqrt(3))r`

A

`(2+sqrt(3))`

B

`((2+sqrt(3)))/(sqrt(3))r`

C

`((2-sqrt(3)))/(sqrt(3)) r`

D

`(2-sqrt(3))r`

Text Solution

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B
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