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CALCULATOR

Arc Length Calculator

arc length. Example: Radius: 2 m, Angle in degrees: 60 degrees gives 2.09439510239 m. Circular arc only, excluding straight chord and sector radii. Angle is 0.001..179.999 degrees. 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.

YOUR INPUTS Live calculation

Circular arc only, excluding straight chord and sector radii. Angle is 0.001..179.999 degrees. 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: A full turn has 2π radians and circumference 2πr.

Accepted inputs: Radius: 0.001 to 1,000 m; Angle in degrees: 0.001 to 179.999 degrees.

Example values. Enter your own inputs.

arc length

2.094395102m

How the calculation works

arc = radius × angle × π/180

Worked example

With radius 2 m, angle in degrees 60 degrees, arc length is 2.094395102 m.

Assumptions and limits

Circular arc only, excluding straight chord and sector radii. Angle is 0.001..179.999 degrees. 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: A full turn has 2π radians and circumference 2πr.

arc length2.094395102 m
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