Question

A square of side x is inscribed in a circle. Express the area of the circle as a function of x.

Answer 1

If a square is inscribed in a circle then its diagonal will be the diameter of the circle
here, side of square = x
therefore diagonal = \[\sqrt{2}x\] = diameter of circle

area of circle =[ \[\pi\]*(diameter)^2]/4
= pi*x^2/2

Answer 2

Thank you!