An equilateral triangle of side 6 cm is inscribed in a circle. Then radius of the circle is:

A. $$2\sqrt 3 $$  cm

B. $$3\sqrt 2 $$  cm

C. $$4\sqrt 3 $$  cm

D. $$\sqrt 3 $$  cm

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & R = \frac{a}{{\sqrt 3 }} \cr & R = \frac{6}{{\sqrt 3 }} \cr & R = 2\sqrt 3 \,{\text{cm}} \cr} $$