Question

A circle is inscribed in a square, which means that each side of the square touches the circle at exactly one point. If the area of the circle is 144pi, what is the length of the diagonal?

Answer 1

24`sqrt2`

Explanation:

The area of a circle is `pi` `r^2`
So `pi` `r^2` =144 `pi`
So r= 12
The side of the square is 24
Pythagoras gives us the diagonal as 24`sqrt2`