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  1. Circumradius -- from Wolfram MathWorld

    Dec 22, 2025 · The circumradius of a cyclic polygon is a radius of the circle inside which the polygon can be inscribed. Similarly, the circumradius of a polyhedron is the radius of a circumsphere touching …

  2. 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 …

  3. Circumradius Definition (Illustrated Mathematics Dictionary)

    Illustrated definition of Circumradius: The radius of a circle that passes through all vertices (corner points) of a triangle. Some polygons also have...

  4. Circumradius Definition, Formula & Examples - Study.com

    Imagine a triangle inside a circle, with three of its vertices touching the circle's circumference. The circumradius is the length from the center of the circle to the vertex of the triangle.

  5. Circumradius of a Triangle: Formula, Steps & Examples - Vedantu

    The circumradius of a polygon or a triangle is the radius of the circle that circumscribes (surrounds) that polygon or triangle. It is the distance from the centre of the circumcircle to one of the vertices of the …

  6. Circumscribed Circle Calculator

    The radius of the circumcircle is called the circumradius of the triangle and the center of the circumcircle is called the circumcenter. The circumcenter coincides with the point where the perpendicular …

  7. Radius of a regular polygon - Math Open Reference

    Radius of a regular polygon (also Circumradius) Definition: The distance from the center of a regular polygon to any vertex . Try this Adjust the polygon below by dragging any orange dot, or alter the …

  8. Circumradius|Definition & Meaning - The Story of Mathematics

    The circumradius and inradius of a triangle are different types of radii. When a triangle is circumscribed by a circle, then the circumradius is the radius of that circle.

  9. CIRCUMRADIUS Definition & Meaning - Merriam-Webster

    The meaning of CIRCUMRADIUS is the radius of a circumscribed circle.

  10. Circumradius - AoPS Wiki - Art of Problem Solving

    Circumradius The circumradius of a cyclic polygon is the radius of the circumscribed circle of that polygon. For a triangle, it is the measure of the radius of the circle that circumscribes the triangle. …