Ellipse Area Calculator

The area and approximate perimeter of an ellipse from its two semi-axes.

Result

Area

47.12

Perimeter (approx.)

25.53

How it works

Area = π · a · b

An ellipse is a stretched circle. Its area is π times the two semi-axes; the perimeter has no simple exact form, so we use Ramanujan’s accurate approximation.

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Frequently asked questions

What are a and b?

The semi-axes — half of the longest and shortest diameters of the ellipse.

Is the perimeter exact?

No exact elementary formula exists; this uses Ramanujan’s approximation, accurate to a tiny fraction of a percent.

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