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Ellipse Calculator
Calculate area, circumference, eccentricity, foci, and all ellipse measurements
Ellipse Calculator
Understanding Ellipses
An ellipse is an oval-shaped curve where the sum of distances from any point on the curve to two fixed points (foci) is constant. It can be thought of as a stretched circle with two axes of different lengths.
Key Properties:
- Two axes: major axis (longer) and minor axis (shorter)
- Two focal points (foci) located on the major axis
- Eccentricity measures how elongated the ellipse is
- Planetary orbits are elliptical (Kepler's first law)
Ellipse Formulas
A = πab
Area
e = √(1 - b²/a²)
Eccentricity
c = √(a² - b²)
Linear eccentricity
ℓ = b²/a
Semi-latus rectum