Arc Length Calculator

Summary

Enter a radius and central angle (degrees or radians) to instantly get arc length, chord length, and sector area.

How it works

1. Enter the radius of the circle in any unit (the result uses the same unit).
2. Enter the central angle and choose degrees or radians.
3. The tool computes arc length using L = r × θ (angle in radians).
4. Chord length is calculated as C = 2r × sin(θ/2).
5. Sector area is calculated as A = ½ × r² × θ.
6. All three results appear instantly with formula breakdowns.

Use cases

• Determine the length of a curved road or track segment.
• Calculate material needed for a curved architectural element.
• Solve geometry homework involving circles and arcs.
• Find the arc length for a given slice of a pie chart.
• Design curved furniture or woodworking pieces.
• Compute sector area for irrigation or land-use planning.
• Verify hand calculations in engineering or physics problems.

Frequently Asked Questions