# Math Help - Given a square, circumscribe a semicircle around the square!

1. ## Given a square, circumscribe a semicircle around the square!

A brief explanation on the steps too please !

2. ## Re: Given a square, circumscribe a semicircle around the square!

Originally Posted by Jammix
A brief explanation on the steps too please !
Suppose that the square has sides of length $2S$.
The center is the mid-point of one the sides. Extend that side in both directions.
The radius of the semicircle is $\sqrt{5}~S$.