En geometría, la circunferencia circunscrita es la circunferencia que pasa por todos los vértices de una figura plana y contiene completamente a dicha figura en su interior. El centro de la circunferencia circunscrita se llama circuncentro y su radio circunradio Un polígono que tiene una circunferencia circunscrita se llama polígono cíclico. Todos los polígonos simples regulares, todos los triángulos y todos los rectángulos son cíclicos. En todo polígono cíclico, el circuncentro se halla en el punto de intersección de las mediatrices de los lados del polígono.

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In geometry, the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon. The center of this circle is called the circumcenter and its radius is called the circumradius. A polygon which has a circumscribed circle is called a cyclic polygon (sometimes a concyclic polygon, because the vertices are concyclic). All regular simple polygons, all isosceles trapezoids, all triangles and all rectangles are cyclic. A related notion is the one of a minimum bounding circle, which is the smallest circle that completely contains the polygon within it. Not every polygon has a circumscribed circle, as the vertices of a polygon do not need to all lie on a circle, but every polygon has a unique minimum bounding circle, which may be constructed by a linear time algorithm. Even if a polygon has a circumscribed circle, it may not coincide with its minimum bounding circle; for example, for an obtuse triangle, the minimum bounding circle has the longest side as diameter and does not pass through the opposite vertex.

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