Question

If a square is inscribed in a circle find the ratio of their areas of the circle and the square

Answer 1

4:3 the ratio
square 3 Circle 4

Answer 2

let the radius of circle be x cm
diagonal of square= diameter of circle=2x

side of square =2^1/2×x
so its area=2x^2

and area of circle =pi×x^2

so ratio of their areas =pi×x^2/2x^2
pi/2

Hence ratio of areas is pi:2