File:Cyclic_quadrilateral.svg · Wikimedia Commons · See Wikimedia Commons
cyclic quadrilateral
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quadrilateral whose vertices can all fall on a single circle
Wikidata facts
- Subclass of
- cyclic polygon
- Image
- Cyclic quadrilateral 1.svg
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- Commons category
- Cyclic quadrilaterals
- maintained by WikiProject
- WikiProject Mathematics
Sources (1)
via Wikidata · CC0
~21 min read
Encyclopedic overview
Examples of cyclic quadrilaterals
In geometry, a cyclic quadrilateral or inscribed quadrilateral is a quadrilateral (four-sided polygon) whose vertices all lie on a single circle, making the sides chords of the circle. This circle is called the circumcircle or circumscribed circle, and the vertices are said to be concyclic. The center of the circle and its radius are called the circumcenter and the circumradius respectively. Usually the quadrilateral is assumed to be convex, but there are also crossed cyclic quadrilaterals. The formulas and properties given below are valid in the convex case.
Excerpted from Wikipedia’s “cyclic quadrilateral” article, available under the CC BY-SA 4.0 licence.