Question

The ratio of areas of a circle and equilateral triangle whose diameter and a a side of respectively equal is?

Answer 1

Area of a circle :- `pi r^2 = pid^2/4`

Area of an Equilateral triangle :- `sqrt3/4 d^2`

ratio:- `(pid^2/4) / (sqrt3/4 d^2)`

`((pid^2)/4) xx (4/(sqrt3 d^2))`

`=pi/sqrt3`