The circumscribed circle of a triangle is the unique circle that contains the vertices of the triangle.
To construct the circumscribed circle of a triangle
Find the perpendicular bisectors for two sides of the triangle.
To do so, construct congruent circles around the endpoints of a line.
The perpendicular bisector is the line formed by the intersection of these circles.
In this figure, is a perpendicular bisector of
The center of the circumscribed circle is the intersection of the perpendicular bisectors. Draw at least two. Then, draw a circle from the point of intersection to any vertex of the triangle.
This figure illustrates the result.
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