Circumcenter Calculator

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Find the circumcenter of a triangle defined by three vertices.

Vertex A

Vertex B

Vertex C

Circumcenter Coordinates

Circumcenter (O)(2.0000, 1.5000)

Circumradius (R)2.5000

About this calculator

What is a Circumcenter?

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect. It is also the center of the triangle's circumcircle—the circle that passes through all three vertices. The circumcenter is equidistant from all three vertices.

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Pro Tips

For an acute triangle, the circumcenter lies inside the triangle.
For a right triangle, it lies at the midpoint of the hypotenuse.
For an obtuse triangle, it lies outside the triangle.

Fun Facts

"The circumcenter, centroid, and orthocenter of a triangle are always collinear and lie on the Euler line."
"In an equilateral triangle, the circumcenter and centroid are the same point."

Formula: Intersection of perpendicular bisectors: x = D/D_x, y = D/D_y...