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

• February 2nd 2013, 01:10 PM
Jammix
Given a square, circumscribe a semicircle around the square!
A brief explanation on the steps too please :)!
• February 2nd 2013, 04:48 PM
Plato
Re: Given a square, circumscribe a semicircle around the square!
Quote:

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 $\sqrt{5}~S$.