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 incircle is
A. 3 : 4B. 1 : 2C. 2 : 1D. 4 : 3​

Answer 1

Option: C is the answer

Explanation:

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