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Ellipse Circumradius Calculator

Calculates the smallest circle that encloses an ellipse from its semi-axes.

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Result

Circumradius (R)

5

Working

Smallest circle enclosing the ellipse: R = max(semi-major, semi-minor) = 5

Notes

  • · The smallest enclosing circle has R = max(semi-major axis, semi-minor axis).

Ellipse Circumradius Calculator — How It Works

Ellipse Circumradius Calculator — How It Works

The circumradius (R) is the radius of the circle that passes through all the key points of a shape — its circumscribed circle. The Ellipse Circumradius Calculator calculates this for a ellipse from the semi-major and semi-minor axes. Try the Ellipse Circumradius Calculator — instant results, no sign-up.

The formula

R = max(semi-major axis, semi-minor axis)

Example

For a ellipse with the semi-major and semi-minor axes = 5 and 3:

R ≈ 5

A note on “circumradius” for this shape

For shapes that aren’t always cyclic (have a circle through every vertex) in their general form — like a rhombus, parallelogram, or trapezoid — this calculator applies the standard circumradius formula for the cyclic case (e.g. assuming a rectangle for parallelograms, or an isosceles trapezoid). For squares, regular polygons, semicircles, and sectors, the circumradius is well-defined for every such shape.

FAQ

Is this free?

Yes — the Ellipse Circumradius Calculator runs entirely in your browser, no sign-up required.

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