CALCULATOR
Minor Central Angle from Arc and Radius Calculator
central angle. Example: Minor arc length: 0.5 m, Radius: 2 m gives 14.3239448783 degrees. Minor arc; bounded arc≤1 m and radius≥1 m keep angle at most one radian. 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 arc; bounded arc≤1 m and radius≥1 m keep angle at most one radian. 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: Arc length equals radius times radian angle.
Accepted inputs: Minor arc length: 0.001 to 1 m; Radius: 1 to 1,000 m.
How the calculation works
central angle = arc/radius ×180/π
Worked example
With minor arc length 0.5 m, radius 2 m, central angle is 14.32394488 degrees.
Assumptions and limits
Minor arc; bounded arc≤1 m and radius≥1 m keep angle at most one radian. 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: Arc length equals radius times radian angle.