Concept information
Preferred term
circumscribed circle
Definition(s)
-
In geometry, the circumscribed circle or circumcircle of a triangle is a circle that passes through all three vertices. The center of this circle is called the circumcenter of the triangle, and its radius is called the circumradius. The circumcenter is the point of intersection between the three perpendicular bisectors of the triangle's sides, and is a triangle center. More generally, an n-sided polygon with all its vertices on the same circle, also called the circumscribed circle, is called a cyclic polygon, or in the special case n = 4, a cyclic quadrilateral. All rectangles, isosceles trapezoids, right kites, and regular polygons are cyclic, but not every polygon is.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Circumcircle)
Broader concept(s)
Synonym(s)
- circumcircle
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-TNJP92H0-Z
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