Math
Circle
Calculate area, circumference, and diameter.
Calculators / Math / Ellipse area
Ellipse area calculator
Find the area enclosed by an ellipse from its two semi-axes.
On this page
Area47.12square units
Calculator controls
How to calculate
Find the area enclosed by an ellipse from its two semi-axes.
Area = pi*a*b
Worked example
Semi-major axis: 5; Semi-minor axis: 3.
Area: 47.12 square units.
Assumptions and limits
No. Divide each full dimension by two before entering it. Use matching length units for both axes.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
The area is pi times the two semi-axis lengths. A semi-axis runs from the centre to the boundary; it is half the full width or height.
When this tool is useful
Find the area enclosed by an ellipse from its two semi-axes.
Understanding your inputs
| Input | What to enter |
|---|---|
| Semi-major axis | Enter a number of at least 0 and no more than 1000000000. |
| Semi-minor axis | Enter a number of at least 0 and no more than 1000000000. |
Frequently asked questions
Should I enter the full width and height?
No. Divide each full dimension by two before entering it. Use matching length units for both axes.