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Sagitta of a Circular Arc

Find the minor-arc height above a chord.

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Your numbers

Local calculations. Results are estimates, not professional advice.

Sagitta

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Use consistent units. The result follows the assumptions you enter.

Formula

h=r−√(r²−c²/4)

Find the minor-arc height above a chord.

Worked example

Radius (m)
5
Chord length (m)
8
Sagitta
2 m

Scope and limitations

Use consistent units. The result follows the assumptions you enter.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: f5342f883739 · Example checked:

Methodology

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