Question

A square with an area of 250sq.m is inscribed in a circle. Find the diameter of the circle

Answer 1

22.36 m

Explanation:

Diagonal of the square would be the diameter of the circle.

Area of square = 250 sq m

`Side \: of \: square = √(250) \: m \\ diagonal \: of \: square \\ = \sqrt{ {( √(250)) }^(2) + {( √(250)) }^(2)} \\ = √(250 + 250 ) \\ = √(500) \: m \\ = 22.3606798 \: m \\ = 22.36 \: m \\ \therefore \: diameter \: of \: circle = 22.36 \: m`