Question

find the ratio of the area of a circle and a equilateral triangle whose diameter and side are equal .

Answer 1

Ratio of Area of circle to area of eq. Triangle = 1.815

Answer 2

$ratio = \frac{area \: of \: circle}{area \: of \: equilateral \: triangle} \\ ratio = \frac{\pi {r}^{2} }{ \frac{ \sqrt{3} }{4} {a}^{2} } \\ ratio = \frac{\pi { \frac{d}{2} }^{2} }{ \frac{ \sqrt{3} }{4} {d}^{2} } \\ ratio = \frac{\pi}{ \sqrt{3} } \\ ratio = \frac{3.142}{1.732} = \frac{3142}{1732}$
or
Ratio = 1.814/1