Question

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

Answer 1

Answer:

22.36 m

Step-by-step explanation:

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

Area of square = 250 sq m

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