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The circumcircle of Delta ABC with angle...

The circumcircle of `Delta ABC` with `angle A = 60^(@)` has its centre at O and radius equal to 2 cm . Circle centered at `O_(1)` touches the circumcircle and also OB and OC. The radius of the smaller circle (in cm) is ___________

A

`12 - 4 sqrt(3)`

B

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

C

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

D

`4sqrt(3)-6`

Text Solution

Verified by Experts

The correct Answer is:
D
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