circumcenter
Circle through vertices
The circumcenter is the point where the perpendicular bisectors of a triangle's sides intersect.
It serves as the center of the circumscribed circle—the unique circle passing through all three vertices.
For acute triangles, the circumcenter lies inside the triangle; for obtuse triangles, outside; for right triangles, on the hypotenuse.
At right angles
- bisectorLine splitting something equally
- midpointExact center between two
- intersectionPoint where paths meet
- compassDevice showing cardinal directions
straightedge · bisect · segment · line · vertex · coordinate · divide · orthogonal
Center-to-perimeter distance
- circleCurved closed shape
- equidistantEqually far from each
- circumradiusCircumscribing circle's half-width
- concentricSharing one center
radial · symmetry · equal · distance · vertices · spherical · planar · unique
perpendicular
At right angles
- bisectorLine splitting something equally
- midpointExact center between two
- intersectionPoint where paths meet
compass · straightedge · bisect · segment · line · vertex · coordinate · divide · orthogonal · median
radius
Center-to-perimeter distance
- circleCurved closed shape
- equidistantEqually far from each
- circumradiusCircumscribing circle's half-width
concentric · radial · symmetry · equal · distance · vertices · spherical · planar · unique · constant
vertex
Point where edges converge
- centroidMean position of figure
- orthocenterTriangle altitude concurrence point
- incenterAngle bisectors' intersection
Euler · altitude · median · isosceles · scalene · equilateral · acute · obtuse · right · congruence
inscribed
Carved writing into
chord · diameter · perimeter · sector · curvature · passing · enclosing · bounding
center, central, eccentric, concentrate, circa, circumspect, circumscribe, circumference, circumspection