Ellipse Calculator
Result
Ellipse Calculator — free online calculator.
Formula
- Ellipse Calculator calculates its result from Semi-major a, Semi-minor b. It uses the formula Calculated with the verified ST Calculator runtime.. Change any input to recalculate the result instantly.
- The main inputs are Semi-major a, Semi-minor b. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Ellipse
- Semi-major a: 5
- Semi-minor b: 3
Using Semi-major a = 5, Semi-minor b = 3, the calculated result is Area: 47.1238898038 | Perimeter: 25.5269988628 | Eccentricity: 0.8 | Focal distance: 4.
Sample result: Calculating…
Frequently asked questions
What does the Ellipse calculate?
Ellipse Calculator — free online calculator.
Which values should I enter?
Enter Semi-major a, Semi-minor b using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: Method: Area = πab; perimeter uses Ramanujan’s approximation π(a+b)[1 + 3h/(10+√(4−3h))] with h=((a−b)/(a+b))²; eccentricity = √(1−b²/a²); focal distance = √(a²−b²)..
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.