Chord Length Calculator
Calculate the length of a chord from the radius and central angle, or from the radius and distance to center.
Enter radius and angle OR radius and distance.
Chord Length Formulas
Chord = 2r × sin(θ/2) (using central angle)
Chord = 2√(r² − d²) (using distance from center)
Chord = 2√(r² − d²) (using distance from center)
Example: r = 10, θ = 90°
Chord = 2(10) × sin(45°) = 20 × 0.707 = 14.14
Chord = 2(10) × sin(45°) = 20 × 0.707 = 14.14
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Last updated: 2026-08-08