Ellipse Equation
Free Ellipse Equation calculator with clear step-by-step results.
About Ellipse Equation
Area and shape measures of an ellipse from its semi-axes.
Formula
Formula
Area = πab; e = √(1 − b²/a²)
Worked example
With the default values below, Ellipse Equation returns Area of 47.124. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Semi-major axis aminimum 0
- 5
- Semi-minor axis bminimum 0
- 3
Results
- Area
- 47.124
- Eccentricity
- 0.8000
- Focal Distance
- 4.000
Step by step
- 1Values used
- 2Formula
- 3Area= 47.124
- 4Eccentricity= 0.8000
- 5Focal Distance= 4.000
Assumptions and limits
- The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
How does this calculator work?
Area and shape measures of an ellipse from its semi-axes.
Why does this matter?
a is the larger semi-axis for standard formulas.