ClarityHow to use this tool
- Enter first semiaxis, second semiaxis.
- Select Calculate to view the result.
- Check the method and assumptions below before using the result.
Input reference and sample values
Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.
| Input | Format and units | Sample |
|---|---|---|
| First semiaxis | Numeric value. Unit: m. Must be greater than zero. | 5 |
| Second semiaxis | Numeric value. Unit: m. Must be greater than zero. | 3 |
Result for these sample inputs
25.5269989 m
Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.
The method, explained
h = ((a − b)/(a + b))². Perimeter ≈ π(a + b)[1 + 3h/(10 + √(4 − 3h))].
Using first semiaxis = 5 m, second semiaxis = 3 m, the result is 25.5269989 m. Change these example inputs to match your task; use the method above to check each step.
What to keep in mind
Approximation, not an exact elliptic-integral evaluation. Use the indicated units consistently. Ideal shapes are assumed; dimensions must describe the same object. Display rounding does not increase measurement precision.
Methodology maintained by ClarityKit. How these tools are built and checked.