Definition:Circumcircle of Triangle

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Definition

The circumcircle of a triangle is the circle that passes through all three of the triangle's vertices.

This circle is said to circumscribe the triangle.

Circumcircle.png

Circumcenter

The center of a circumcircle of a triangle is called a circumcenter of a triangle.


Circumradius

A radius of a circumcircle of a triangle is called a circumradius of a triangle.

In the above diagram, $R$ is a circumradius.


Also see