Ellipse Calculator — Center, Foci, Vertices & Eccentricity
Use this free ellipse calculator to analyze an ellipse in standard form. Enter the center and semi-axes to get the vertices, co-vertices, foci, eccentricity, and area, with a diagram and steps.
Key parts of an ellipse
With semi-major and semi-minor axes, the focal distance is c = √(major² − minor²); the foci sit c units from the center along the major axis, and eccentricity is e = c/major.
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How to use it
- Enter the center (h, k) and semi-axes a and b.
- Press Analyze.
Related: the Circle Equation Calculator and more free math calculators.
Frequently asked questions
How are the foci found?
c = √(major² − minor²); the foci are c units from the center along the major axis.
Original price was: $109.99.$54.99Current price is: $54.99.
What does eccentricity tell me?
It measures how stretched the ellipse is: 0 is a circle, closer to 1 is more elongated.
Original price was: $109.99.$54.99Current price is: $54.99.
Which axis is the major axis?
The longer one — horizontal if a > b, vertical if b > a.
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