How does the Ellipse Calculator work?

Area = π × a × b (semi-major × semi-minor) Then: Perimeter ≈ π × (a + b) × (1 + 3h/(10 + √(4-3h))) where h = (a-b)²/(a+b)² Then: Eccentricity = √(1 - (b/a)²) Then: Circumference no closed form; numerical integration.

Can you give an example of how to use the Ellipse Calculator?

Example: Input a=5cm, b=3cm gives a result of Area 15π sq cm.

Is the Ellipse Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Ellipse Calculator?

Our Ellipse Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

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Ellipse Calculator

Ellipse

Semi-major axis (a)

Semi-minor axis (b)

Calculates ellipse properties: area, perimeter, eccentricity from semi-major and semi-minor axes.

Difficulty:intermediate

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Did You Know?

Planetary orbits are ellipses with eccentricity 0.017 (Earth), 0.206 (Mercury).

References

›Ellipse Calculator

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