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Circumcircle of a Triangle from Three Vertices Calculator

Compute the circumcircle radius and centre from three (x, y) vertices.

Compute the circumcircle of a triangle given the (x, y) coordinates of its three vertices. Reports the side lengths a, b, c, the circumradius R = (a·b·c) / (4·area) and the centre (Ox, Oy) via the perpendicular-bisector closed form.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

R = abc / (4·area); centre via perpendicular-bisector closed form.

In depth

Compute the circumcircle of a triangle given the (x, y) coordinates of its three vertices. Reports the side lengths a, b, c, the circumradius R = (a·b·c) / (4·area) and the centre (Ox, Oy) via the perpendicular-bisector closed form.