Arc Length Calculator
Compute the arc length of a circle sector.
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Introduction
Arc Length Calculator — Compute the arc length of a circle sector. Enter Radius, Central angle (degrees) to get an instant, accurate result.
Formula
Arc length = 2πr × (angle in degrees / 360), the fraction of the full circumference (2πr) swept by the central angle.
Step-by-step
- Enter the Radius.
- Enter the Central angle (degrees).
- Click Calculate to see your result instantly.
Real-world example
Example: With Radius = 10, Central angle (degrees) = 90, the Arc Length Calculator gives Arc Length: 15.708.
Frequently Asked Questions
What if the angle is 360°?
The arc length equals the full circumference of the circle.
What units is the result in?
The same linear unit as the radius you entered.
What inputs does the Arc Length Calculator need?
You'll need to provide: Radius, Central angle (degrees). All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Arc Length Calculator?
The Arc Length Calculator applies the formula exactly as calculated — Arc length = 2πr × (angle in degrees / 360), the fraction of the full circumference (2πr) swept by the central angle. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Arc Length Calculator free to use?
Yes, the Arc Length Calculator is completely free, requires no signup, and runs instantly in your browser.
About the Arc Length Calculator
The Arc Length Calculator uses a real, verifiable formula — Arc length = 2πr × (angle in degrees / 360), the fraction of the full circumference (2πr) swept by the central angle. — so results are accurate every time, not an approximation.