Ellipse Calculator
Calculate ellipse area and a converged numerical perimeter from two semiaxes.
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How to use Ellipse Calculator
Area is πab. Composite Simpson integration of the parametric speed over one quadrant estimates perimeter, refining until successive estimates agree within tolerance.
- Enter semimajor axis a, semiminor axis b.
- Check the model, units, and supported limits before calculating.
- Run the tool, inspect the result, then copy or download it.
Good to know
- Semimajor a≥semiminor b>0, axis ratio at most 1000. Perimeter is numerical, not an exact elementary formula; failure to converge within 65,536 panels is rejected.
- Runs locally. Numeric inputs are bounded; floating-point output is approximate and rounded to 12 significant digits. Unsupported or non-finite calculations produce an error.
Common questions
How does Ellipse Calculator calculate its result?
Area is πab. Composite Simpson integration of the parametric speed over one quadrant estimates perimeter, refining until successive estimates agree within tolerance.
What assumptions and boundaries apply?
Semimajor a≥semiminor b>0, axis ratio at most 1000. Perimeter is numerical, not an exact elementary formula; failure to converge within 65,536 panels is rejected.
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