Question

Find the length of the side of the square that has the same area as a circle with radius r cm.

Answer 1

The area of a square is given by the equation $A= s^{2}$

The area of a circle is given by the equation $A=\pi r^{2}$

Set these two equations equal to one another because the areas are equal, and then rearrange the equation in terms of r:

$s^{2}=\pi r^{2}$
$s= \sqrt{\pi r^{2} }$