Definition, Meaning & Synonyms

incenter

noun
/ˈɪnˌsɛntər/
Definition
The incenter is a point where the angle bisectors of a triangle intersect.
Examples
  • The incenter of triangle ABC is the point where the bisectors of the angles meet.
  • In geometry, the incenter can be found using the coordinates of the triangle’s vertices.
  • The radius of the inscribed circle can be calculated from the incenter’s position.
Meaning
It is the center of the circle that can be inscribed within a triangle, which touches all three sides of the triangle.
Synonyms
  • Angle bisector intersection
  • Incircle center
  • Central point