# Circles all around

**Geometry**Level 3

Three equal circles of radius 1 unit touches each other. Radius of the circle touching all the three circles is :

(A) \( \frac{ 2 - \sqrt{3} }{ \sqrt{3} } \)

(B) \( \frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{2} } \)

(C) \( \frac{ 2 + \sqrt{3} }{ \sqrt{3} } \)

(D) \( \frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{2} } \)