Question

The height of an equilateral triangle is $4\sqrt{3}$cm. The ratio of the area of its circumcircle to that of its incircle is -

• A. 3 : 1
• B. 4 : 1
• C. 3 : 2
• D. 1 : 2

Answer 1

The correct option is B

4 : 1

In an equilateral $\Delta$ -

$\begin{array}{c}\frac{Radiusofcircumcircle}{Radiusofinnercircle}=\frac{R}{r}=\frac{2}{1}\\ \frac{Areaofcircumcirlce}{Areaofinnercircle}=\frac{2^2}{1^2}=\frac{4}{1}\end{array}$