## Question

**A circle is circumscribed about an equilateral triangle, and that equilateral triangle is circumscribed about another circle. Then the ratio of perimeter of circumcircle to that of an in circle is**

A. 4:3

B. 2:1

C. 3:4

D. 1:2

**Answer:** B

**Solution:**

Let the side of an equilateral triangle is ‘a’.

Then radius of a circumcircle is a/√3 and radius of an incircle is a/2√3.

The ratio of perimeter is a/√3 : a/2√3 = 2 : 1