Circumcircle

The circumcenter (C) of a triangle is the point in the plane equidistant from the three vertices of the triangle. Since a point equidistant from two points lies on the perpendicular bisector of the segment determined by the two points, C is on the perpendicular bisector of each side of the triangle. Note: C may be outside of the triangle.


The circumscribed circle of the triangle is called the CIRCUMCIRCLE. The center of this circle is C .

 

Notice that all three of the vertices of the triangle lie on the circle.

 

Click here for a GSP script to consruct the circumcircle given any three points (the verticies of a triangle).


 Triangle Circles

Triangles

GSP Sketches

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