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Circumcenter of Triangle Calculator

Online right-triangle circumcircle calculator. Enter the hypotenuse to find the circumradius R (half the hypotenuse), with the theorem—great for circle geometry.

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Circumcenter equidistant from vertices; right triangle R=hypotenuse/2
Right triangle hypotenuse

📖 Tutorial | Circumcenter

1. Definition
Perpendicular bisectors meet at the circumcenter, equidistant from vertices — the circumcircle center.
2. Formula & Notation
cHypotenuse
RCircumradius, c/2
3. Properties & Laws
  • Equidistant from vertices;
  • Right triangle: midpoint of hypotenuse;
  • Acute: inside;
  • Obtuse: outside.
4. Steps
  1. Enter hypotenuse c;
  2. Click "Find R";
  3. Or click "Load Example".
5. Worked Examples
Example: hypotenuse 10.
Solution: R = 10/2 = 5.
6. Common Pitfalls
R = hypotenuse/2 (right triangles only);
Obtuse puts it outside;
Not the incenter.

❓ FAQ | Circumcenter

What meets at the circumcenter?
The perpendicular bisectors.
Its property?
Equidistant from vertices.
Right triangle?
Hypotenuse midpoint, R=c/2.
Hypotenuse 10, R?
5.
Obtuse triangle?
Outside.
Circumcenter vs incenter?
Incenter is for angle bisectors.