Ellipse Area Calculator
Calculate the area and an accurate approximate perimeter of an ellipse from its semi-major and semi-minor axes. Enter semi-major axis and semi-minor…
8 of 8 free uses remaining today
Calculate the area and an accurate approximate perimeter of an ellipse from its semi-major and semi-minor axes. Enter semi-major axis and semi-minor axis to see area and approximate perimeter when you calculate.
Worked example
Example calculated from the starting values. Enter your own values and press Calculate to get your result.
With the default inputs (semi-major axis = 6, semi-minor axis = 4), the results are: area 75.398; approximate perimeter 31.731.
Quick reference: semi-major axis vs result
Reference table based on the example values; it is not your calculation result.
| Semi-major axis | Area | Approximate perimeter |
|---|---|---|
| 3 | 37.699 | 22.103 |
| 6 | 75.398 | 31.731 |
| 12 | 150.796 | 53.458 |
| 30 | 376.991 | 123.046 |
| 60 | 753.982 | 241.589 |
| 120 | 1,507.964 | 480.040 |
Frequently asked questions
What formula does this calculator use?
Area = pi × a × b; Approximate perimeter = pi × (3 × (a+b)-sqrt((3 × a+b) × (a+3 × b))). Variables: a = semi-major axis, b = semi-minor axis.
What do I need to enter?
You need semi-major axis, semi-minor axis. Results update as you type.
What is an example result?
With the default inputs (semi-major axis = 6, semi-minor axis = 4), the results are: area 75.398; approximate perimeter 31.731.
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