circumcircle

Triangle's bounding ring

A circumcircle is a circle that passes through all the vertices of a polygon, particularly a triangle.

Every triangle has exactly one circumcircle, whose center (the circumcenter) lies at the intersection of the perpendicular bisectors of the triangle's sides.

Not all polygons have circumcircles—only those whose vertices all lie on a single circle.

construction

circumradius

Circumscribing circle's half-width

inscribed · compass · straightedge · equidistant · concurrent · construction · unique · existence · defined · enclosing

properties

circumradius

Circumscribing circle's half-width

chord · arc · area · pi · concentric · inradius · ratio · formula · calculation · measurement

triangle

circumradius

Circumscribing circle's half-width

isosceles · scalene · vertices · orthocenter · centroid · incenter · hypotenuse

polygon

vertices

Corner points of shapes

quadrilateral · Ptolemy · inscribed · convex · circumradius · vertex · side · diagonal

Opposites
geometric position relative to polygon

circumcircleinner circle

Exclusive group of confidants

inradius · nine-point circle

Family

circle, circuit, circular, encircle, circumstance, semicircle, encircled, circumference, encircling

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