XIV

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

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