In geometry, a circumscribed circle for a set of points is a circle passing through each of them. Such a circle is said to circumscribe the points or a polygon formed from them; such a polygon is said to be inscribed in the circle.
- Circumcircle, the circumscribed circle of a triangle, which always exists for a given triangle.
- Cyclic polygon, a general polygon that can be circumscribed by a circle. The vertices of this polygon are concyclic points. All triangles are cyclic polygons.
- Cyclic quadrilateral, a special case of a cyclic polygon.
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See also
- Smallest-circle problem, the related problem of finding the circle with minimal radius containing an arbitrary set of points, not necessarily passing through them.
This page was last edited on 30 June 2023, at 01:40