Constructions for Maths: GCSE, IGCSE and GCE - OL

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Circumcircle construction

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

It can easily be constructed by the following steps:

  1. Construct the perpendicular bisectors of each side of the triangle
  2. Locate the point of intersection of the bisectors
  3. The point of intersection is the centre of the circumcircle
  4. Construct the circle with centre in step 3). It is the circumcircle of the triangle in question.

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