Chord Length from Centre Offset
Find chord length from radius and perpendicular distance to the centre.
Your numbers
Chord length
Use consistent units. The result follows the assumptions you enter.
Scenario comparison
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Formula
Use c = 2√(r²−d²). r is radius and d is perpendicular distance from the centre to the chord in the same unit. Chord length c uses that length unit.
Find chord length from radius and perpendicular distance to the centre.
Worked example
- Radius (m)
- 5
- Centre-to-chord offset (m)
- 3
- Chord length
- 8 m
- Minor central angle
- 106.260204708 °
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: e31d22d10e4e · Example checked: