Constructions and Loci for GCSE and IGCSE Maths; circumcircle

 

A circle that touches the vertices of a tringle from outside is called a circumcircle.

In order to construct it, the following simple steps can be followed in order:

1. Construct the three perpendicular lines of each side.
2. Find the point where the lines in step 1 intersect. 
3. Using the point in step 2) as the centre. just complete the circle with your compasses.
4. It is the circumcircle.