# Arc Length Calculator

> Calculate arc length, central angle, or radius for a circular sector using s = r·θ. Supports degrees and radians, and includes an optional sector area output.

**URL:** https://www.calculatoranswers.com/arc-length-calculator
**Category:** Education

## Quick Answer

Calculate the arc length of a circular arc. Enter any two of radius, central angle and arc length to find the third, in degrees or radians, with the sector area alongside it.

## Definition

An arc length calculator is a geometry utility that computes the distance along a circular arc. This one solves the relationship arc length equals radius multiplied by the central angle in radians, in any direction: give it two of arc length, radius and angle and it returns the third, in degrees or radians, with an optional sector area. It does not perform calculus arc length, the definite integral of the square root of one plus the derivative squared, which is the method for a general curve rather than a circular one. Students and makers use it to find the distance along a curve of known radius.

## How to Use

1. **Choose calculation mode** — Choose whether to solve for arc length, central angle, or radius.
2. **Input geometry parameters** — Enter the two values you know and pick degrees or radians for the angle.
3. **Read the length** — View the missing value, the sector area, and the formula used.

## Disclaimer

This calculator provides estimates for educational and planning purposes. Always consult a qualified professional for specific advice on financial, medical, legal, or other regulated decisions.

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