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Woodworking Ellipse Layout Calculator

Calculate ellipse focus positions and string-loop length from its two axis dimensions.

Prefilled values are examples. Replace them with measurements and current costs for your project.

Inputs

Ellipse axis dimensions

Range: at least 0.01 in

Range: at least 0.01 in

Result

Ellipse area
75.398 sq in
Taut closed-loop string length
20.9443 in
Distance from center to each focus
4.4721 in
Approximate perimeter (Ramanujan II)
31.731 in
The two foci lie on the X axis, equally spaced from the center.

Formula

Distance from center to each focus
—
Taut closed-loop string length
—
Ellipse area
—

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Results are planning aids based on the inputs and assumptions shown. Verify dimensions, stock sizes, hardware clearances, kerf, and current prices against your project before cutting or quoting.