CALCULATOR
Chord Length Calculator
chord length. Example: Radius: 2 m, Angle in degrees: 60 degrees gives 2 m. Minor central angle in degrees strictly between 0 and 180. Radius supplied, not diameter. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculation.
Minor central angle in degrees strictly between 0 and 180. Radius supplied, not diameter. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculation. Derivation: Bisect isosceles center triangle into two right triangles.
Accepted inputs: Radius: 0.001 to 1,000 m; Angle in degrees: 0.001 to 179.999 degrees.
How the calculation works
chord = 2r sin(angle/2)
Worked example
With radius 2 m, angle in degrees 60 degrees, chord length is 2 m.
Assumptions and limits
Minor central angle in degrees strictly between 0 and 180. Radius supplied, not diameter. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculation. Derivation: Bisect isosceles center triangle into two right triangles.