Sector Calculator

Calculate arc length and sector area from radius and central angle.

Formula

Arc = (θ/360)×2πr, Area = (θ/360)×πr²

Arc length and sector area are proportional fractions of the full circle, based on the central angle θ.

Examples

Quarter circle (r=5, 90°)

Half circle (r=6, 180°)

60° sector (r=4)

Frequently Asked Questions

What is the arc length of a sector?

Arc = (θ/360) × 2πr, where θ is the central angle in degrees.

How is sector area calculated?

Sector Area = (θ/360) × πr².

About this Calculator

Calculate arc length and sector area from radius and central angle. All calculations are performed in your browser for instant results. Formulas are mathematically exact using JavaScript's built-in Math functions.