Circumscribed circle: Difference between revisions
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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. | 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. | ||
Latest revision as of 07:20, 15 November 2025
Script error: No such module "Unsubst". 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.
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.
- Inscribed figure