AnsRioSmart tools. Clear answers.
Home / Math & statistics / Circular arc length
Math & statistics

Circular arc length

Circular arc length: Arc length = radius × angle in radians = radius × angle in degrees × π/180.

Make it your own ⌁ Runs on your device

Your inputs are processed locally and are not added to analytics or saved history.

YOUR RESULT
Ready when you are.

Enter your values, then select Calculate.

How it works

Arc length = radius × angle in radians = radius × angle in degrees × π/180.

Input definitions

Radius
Enter the value in the labeled unit.
Angle swept (degrees)
Enter the value in the labeled unit.

A worked example

Radius
3
Angle swept (degrees)
180
9.424778

Assumptions & limits

Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-18. Content checked against the stated method and examples. Our verification approach.

Common questions

Can the angle exceed one full turn?

Yes. Angles above 360 degrees describe a path covering more than one rotation, rather than a distinct single arc.

How does Circular arc length work?

Arc length = radius × angle in radians = radius × angle in degrees × π/180.

What should I check before using Circular arc length?

Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.

↗
Made for the question in front of you.

No sign-up. Tool inputs stay on your device.

How we work