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Arc & Chord Calculator
Calculate chord length, sagitta (rise), arc length, and radius of a circular arc. Enter any two values to compute the rest. Useful for surveying and civil engineering.
Chord Length L
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Sagitta (Rise) h
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Arc Length s
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Radius R
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Central Angle θ
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Segment Area
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Formulas
R = (L² + 4h²) / (8h)
h = R − √(R² − (L/2)²)
s = 2R × arcsin(L / 2R)
L = 2R × sin(θ/2)
Note: Results are for reference only. Please use appropriate precision calculations for actual design and surveying work.
Come usare
Select which two values to input (chord & sagitta, chord & radius, etc.), enter the values, and the remaining properties will be calculated automatically.
- Calculate radius & arc from chord and sagitta
- Calculate sagitta & arc from chord and radius
- Calculate chord & arc from sagitta and radius
- Calculate chord & sagitta from arc and radius
- SVG diagram for visual confirmation
Casi d'uso
- Calculate arc or chord length in surveying
- Design road or railway curves
- Reverse calculate radius from sagitta and chord
- Dimensioning tunnels and arch structures