Just enter the semi-major and semi-minor axes of the ellipse below and click Calculate Area. Use a period or comma as the decimal separator.
Ellipse Area Calculator
Answer:
Ellipse area formula
The area of an ellipse is calculated as the product of the two semi-axes multiplied by π:
A = π × a × b
Where a is the semi-major axis (half of the longest axis) and b is the semi-minor axis (half of the shortest axis). A circle is a special case where a = b = r, giving A = π × r².
Practical examples
| Semi-Major Axis (a) | Semi-Minor Axis (b) | Area (A = π × a × b) |
|---|---|---|
| 8 m | 5 m | 125.664 m² |
| 10 cm | 6 cm | 188.496 cm² |
| 7 m | 4 m | 87.965 m² |
| 3 cm | 2 cm | 18.850 cm² |
| 5 m | 5 m | 78.540 m² (circle) |
Frequently asked questions
What is the formula for the area of an ellipse?
The area is A = π × a × b. Example: a = 8 m and b = 5 m → A = π × 8 × 5 ≈ 125.664 m².
What is a semi-axis?
The semi-major axis (a) is half the length of the longest axis; the semi-minor axis (b) is half the shortest. If a = b, the ellipse becomes a circle.
Can I use a comma instead of a decimal point?
Yes. This calculator accepts both comma and period as the decimal separator.
See also…
