For an equilateral triangle, s=a+b+c2=3a2 and Δ=√34a2
r2=(Δs)2=112a2
R2=(abc4Δ)2=13a2
∴Area of CircumcircleArea of Incircle=πR2πr2=a23×12a2=4
The height of an equilateral triangle is 4√3cm. The ratio of the area of its circumcircle to that of its incircle is -