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cyclic quadrilateral
Sign in to saveAlso known as inscribed quadrilateral
quadrilateral whose vertices can all fall on a single circle
In the Vinony graph
Vinony's link graph records 152 inbound references to cyclic quadrilateral, and connects out to quadrilateral, concyclic points and circumscribed circle for triangle.
It is catalogued under the topic Types of quadrilaterals.
Vinony links it to 44 Wikipedia language editions.
Wikidata facts
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- Cyclic quadrilateral 1.svg
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- Commons category
- Cyclic quadrilaterals
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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.