Ellipse Area Calculator

Enter the semi-major and semi-minor axis lengths of an ellipse to calculate its area.

Ellipse Area Calculator

Calculate the area of an ellipse from its semi-major and semi-minor axis lengths.

This calculator provides an estimate for general informational purposes only. It is not a substitute for professional financial, mechanical or engineering advice.

An ellipse's area generalizes the circle-area formula: instead of πr², it's π times the semi-major axis times the semi-minor axis.

Example

  • With the default values shown above, this calculator returns: Area ≈ 125.66.

Frequently Asked Questions

What is the formula?

Area = π × a × b, where a is the semi-major axis (half the longest diameter) and b is the semi-minor axis (half the shortest diameter).

What if it's a circle?

A circle is a special ellipse where a = b = radius, and the formula reduces to the familiar πr².

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