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Ellipse Calculator
Calculate an axis-aligned ellipse with exact focal expressions and clearly labeled numerical approximations.
Explicit text fields
ellipse.json
Browser only
Runs locally in your browser. Your files, pasted content and generated output are not uploaded. Reset clears this tool’s working data.
This tool needs JavaScript. If it does not load, refresh the page and try again.
How to use this tool
- Enter the admitted input and explicit options described below.
- Select Calculate ellipse and inspect the stated conventions.
- Download the complete result and any companion report.
Examples
Semiaxes 3 and 2 give exact area 6 times pi and focal distance sqrt(5).
Limitations
- Each selected decimal:128 raw units, 100 coefficient digits and supplied exponent±1000; positive semiaxes 1e-12–1e12 with min/max at least 0.01; 4096 intermediate digits, 64 KiB report and 30 seconds.
- Approximate fields use finite binary 64 evaluation shown to 12 significant digits. The named perimeter formula is not the exact elliptic-integral perimeter and has no certified universal accuracy claim.
- Axis aligned and centered at the origin only; no fitting, rotation, translation or arc-length calculation.
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