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How to use Ellipse Calculator

Enter the semi-major (a) and semi-minor (b) axes and the calculator returns area, perimeter, eccentricity and focal distance.

Frequently asked questions

How is the area of an ellipse found?

Area = π × a × b, where a and b are the semi-major and semi-minor axes.

Why use Ramanujan's perimeter formula?

An ellipse perimeter has no simple exact formula; Ramanujan's approximation is extremely accurate and fast to compute.

What is eccentricity?

A measure of how elongated the ellipse is: e = √(1 − b²/a²), where 0 is a circle and values near 1 are very stretched.

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