Arc Length Calculator

Arc length is radius multiplied by central angle in radians. Formula: s = rθ for θ in radians; s = πrθ ÷ 180 for θ in degrees

Enter the radius of the circle and the central angle in degrees, then click the Calculate button.

Radius: Central Angle (degrees):

Result:

Calculate Arc Length

Arc length is radius multiplied by central angle in radians.

Formula: s = rθ for θ in radians; s = πrθ ÷ 180 for θ in degrees

Write the inputs in the form required by the formula and check the result with a small reference case. For equations and statistics, make sure the selected convention matches the problem you are solving.

Substitute the same inputs into the displayed formula and compare the calculated value with the result shown by the tool.

References:

Arc Length Formula

What is Arc Length?

wikipedia source: Arc length

Frequently Asked Questions FAQ

What does Arc Length Calculator calculate?

Arc length is radius multiplied by central angle in radians.

What is the formula for Arc Length Calculator?

The formula used by the calculator is: s = rθ for θ in radians; s = πrθ ÷ 180 for θ in degrees

What inputs does Arc Length Calculator need?

Enter radius and central angle, specifying degrees or radians as required.

How can I verify the Arc Length Calculator result?

Substitute the same inputs into the displayed formula and compare the calculated value with the result shown by the tool.

How should I round the Arc Length Calculator result?

Keep exact values such as fractions or radicals when useful, and round only the final numerical result when a decimal answer is required.

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