Workspace

Ellipse Calculator

Area, perimeter, eccentricity and foci. Results update as you type.

Enter dimensions

Results

Enter your dimensions above and the results appear here.

About the Ellipse Calculator

The ellipse calculator is a free online tool: area, perimeter, eccentricity and foci. Enter semi-axis a and semi-axis b and the results update instantly, alongside a labelled diagram so you always know which measurement goes where.

Choose your input unit (mm, cm, m, km, in, ft or yd) and optionally show the results in a different one: lengths, areas and volumes are converted correctly. Every answer shows the formula behind it, and the calculation runs in your browser, so nothing is uploaded.

Ellipse Calculator example

Input
Semi-axis a = 7 cm
Semi-axis b = 4 cm
Output
Area = 87.9646 cm²
Perimeter (approx.) = 35.2031 cm
Eccentricity = 0.8207
Focal distance c = 5.7446 cm
Distance between foci = 11.4891 cm

How to use the Ellipse Calculator

  1. Pick the unit your measurements use. All dimensions must share the same unit.
  2. Enter semi-axis a and semi-axis b. Focus a field to highlight the matching label on the diagram.
  3. Read the results as you type. The largest card is the main answer; the others are the related measurements.
  4. Copy a single value, copy everything, or share a link that keeps your inputs.

Ellipse Calculator FAQ

What formulas does the ellipse calculator use?

A = πab; P ≈ π[3(a+b) − √((3a+b)(a+3b))]; c = √(a² − b²); e = c / a.

Can I use different units?

Yes. Pick the input unit and, if you like, a different output unit. Area results are shown in squared units and volumes in cubed units.

Is this ellipse calculator free and private?

Yes. It is free with no sign-up, and calculations happen on your device, so your numbers are never sent to a server.

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