# 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) $$\frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{2} }$$

×