Exercises: Square Roots

First you have to calculate the area of the circle so that you know how big the area of the square has to be.

You are given the radius $r=13.6cm$.

Calculate the area using the formula.

Determining the side length of the square

You already know:

$A_{\mathrm{circle}}=A_{\mathrm{square}}=581.07c{m}^2$

Now use the formula for the area of a square:

You get two solutions:

In the context of the square, only one of the solutions makes sense, namely the positive one.

So the correct solution is $s=24.11cm$.