How it works
Semiaxes are half the full widths. With eccentricity, the minor semiaxis is a√(1−e²). This form solves for area; enter the known quantities in Major semiaxis, Eccentricity.
Inputs and units
| Input | Example value | What to enter |
|---|---|---|
| Major semiaxis | 5 cm | Formula symbol: a. Required unit: cm. Half the full dimension in that direction. Must be greater than zero. |
| Eccentricity | 0.8 | Formula symbol: e. Enter a numeric value. Use a non-negative value. Allowed range: 0–0.999999999. |
Worked example
Show example inputs and results
This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.
- Major semiaxis
- 5 cm
- Eccentricity
- 0.8
Complete example results
- Area
- 47.1238898 cm²
Reading the result
The result solves for area from the entered quantities. Check the result unit and the formula conditions before using it.
Questions and answers
Can I use the example values for my own calculation?
The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.
When can I use the area result?
Lengths use cm, areas cm² and volumes cm³ on one consistent scale. The positive real branch is selected; the supplied quantities must describe the stated shape.
Why are some results rounded?
Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.
Are my inputs sent to a server?
The calculator processes inputs in your browser. Its code does not send your values to a server.
Method sources: openstax.org