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  1. Circumcircle - Wikipedia

    In geometry, the circumscribed circle or circumcircle of a triangle is a circle that passes through all three vertices. The center of this circle is called the circumcenter of the triangle, and its radius is called the …

  2. Circumcircle of a triangle - Math Open Reference

    The circumcircle always passes through all three vertices of a triangle. Its center is at the point where all the perpendicular bisectors of the triangle's sides meet.

  3. Circumcircle Definition (Illustrated Mathematics Dictionary)

    Illustrated definition of Circumcircle: A circle that passes through all vertices (corner points) of a polygon. Triangles, rectangles, regular polygons...

  4. Circumcircle of a Triangle: Definition, Formula & Examples - Vedantu

    The circumcircle of a triangle is the unique circle that passes through all three of its vertices (corners). Every triangle, regardless of its shape or size, has exactly one circumcircle.

  5. Circumcircle -- from Wolfram MathWorld

    Dec 22, 2025 · The circumcircle is a triangle's circumscribed circle, i.e., the unique circle that passes through each of the triangle's three vertices. The center of the circumcircle is called the circumcenter, …

  6. Circumscribe - Cuemath

    A circumscribe or a circumcircle is a circle that passes through all the vertices of any polygon such as triangles, rectangles, regular polygons, and some other shapes but not all polygons.

  7. Circumcircle Definition, Properties & Examples - Study.com

    Learn about the circumcircle and see how it is similar to the circle. Discover the circumcenter and explore the circumcircle of a triangle and square with examples.

  8. Circumcircle - Art of Problem Solving

    The circumcircle of a triangle or other polygon is the circle which passes through all of its vertices (if such a circle exists). Every triangle has one (and only one) circumcircle, but most other polygons do …

  9. Circumcircle of Triangle | Brilliant Math & Science Wiki

    A circumcenter, by definition, is the center of the circle in which a triangle is inscribed, For this problem, let O = (a, b) O = (a,b) be the circumcenter of A B C ABC. Then since the distances to O O from the …

  10. CIRCUMCIRCLE Definition & Meaning - Merriam-Webster

    circumcircle noun cir· cum· cir· cle ˈsər-kəm-ˌsər-kəl : a circle which passes through all the vertices of a polygon (such as a triangle)