Let $S_1,S_2$ and $S_3$ be three circles of unit radius which touch each other externally. The common tangent to each pair of circles are drawn and extended so that they can intersect and form a triangle $ABC$ with circumradius $R,$ then $R$ is equal to
Let $S_1,S_2$ and $S_3$ be three circles of unit radius which touch each other externally. The common tangent to each pair of circles are drawn and extended so that they can intersect and form a triangle $ABC$ with circumradius $R,$ then $R$ is equal to
- A
$4+2\sqrt 3$
- B
$2(1+\frac{1}{\sqrt 3})$
- C
$4(1+\sqrt 3)$
- D
$\frac{3(1+\sqrt 3)}{2}$
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