How does the Arc Length Calculator work?

Arc length = r × θ (where θ is in radians) Then: Arc length = (θ/360) × 2πr (where θ is in degrees) Then: Sector area = ½r²θ (radians) Then: Convert degrees to radians: θ_rad = θ_deg × π/180.

Can you give an example of how to use the Arc Length Calculator?

Example: Input r = 5, θ = 90° gives a result of Arc length = 5 × (π/2) ≈ 7.854.

Is the Arc Length Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Arc Length Calculator?

Our Arc Length Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

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Arc Length Calculator

Radius

Angle

Arc length is the distance along the curved line of a circle between two points. It depends on the radius and the central angle subtended by the arc.

Symbol	Name	Unit	Description
r	radius	length	—
θ	central angle	radians or degrees	—
s	arc length	length	—

Angle (°)	Radians	Arc Length
30	0.524	5.24
45	0.785	7.85
90	1.571	15.71
180	3.142	31.42
360	6.283	62.83

References

›Arc length — Khan Academy

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Arc Length Calculator

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Arc Length for r = 10

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Arc Length Calculator