Arc Length Calculator
Calculate the length of a circular arc
About this calculator
The Arc Length Calculator determines the curved distance along the edge of a circular section between two points. This tool is essential for engineers, architects, designers, and students working with circular geometry, curved structures, or manufacturing processes involving arcs. Whether you're designing curved roadways, calculating material lengths for construction projects, or solving geometry problems, this calculator provides instant accurate measurements using radius and central angle inputs.
How to use
Enter the radius of your circle and the central angle (in degrees or radians) that defines your arc. The calculator will instantly compute the arc length using the formula: arc length = radius × angle (in radians). For angles in degrees, the calculator automatically converts them to radians before performing the calculation.
Frequently asked questions
What is the formula for arc length?
Arc length equals radius multiplied by the central angle in radians (s = r × θ). For degrees, convert to radians first by multiplying by π/180.
Can I use degrees instead of radians?
Yes, most arc length calculators accept both degrees and radians. The calculator automatically converts degrees to radians for the calculation.
What units should I use for measurements?
Use consistent units throughout. If radius is in meters, arc length will be in meters. Same applies for feet, inches, or any unit.