Ellipse Area & Perimeter
How do I find the area of an ellipse?
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- Enter your values in the fields above.
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About this calculator
This calculator finds an ellipse's area, using the exact formula π × a × b where a and b are the two semi-axes, and its circumference, using an approximation (like Ramanujan's formula) since — unlike a circle — an ellipse has no simple closed-form formula for perimeter.
Ellipses come up in orbital mechanics (planets and satellites travel in elliptical orbits, not perfect circles), architecture and design (elliptical windows, tables, and stadium tracks), and engineering drawings of oval-shaped parts or ducts. Students and engineers plug in the two semi-axes to size a real elliptical shape — checking how much material or paint a table top needs, for instance, or working through a physics problem describing planetary orbits.
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