geometry calculators

Circle Sector Calculator

Calculate sector area, arc length, and central angle for circle segments

About this calculator

This Circle Sector Calculator helps you find sector area, arc length, and central angle for any circular segment. Whether you're working on geometry homework, designing architectural elements, or calculating material needs for curved structures, this tool provides instant, accurate results. Simply input any two known values (radius, central angle, arc length, or sector area) and the calculator will determine the remaining measurements, making complex circular calculations effortless.

How to use

Enter any two known values from radius, central angle, arc length, or sector area into the input fields. The calculator will automatically compute the missing values using standard circle sector formulas. Results are displayed instantly with proper units for easy reference and application.

Frequently asked questions

What is a circle sector?

A circle sector is a portion of a circle enclosed by two radii and an arc, resembling a slice of pie or pizza wedge.

How is sector area calculated?

Sector area equals (central angle in radians × radius²) ÷ 2, or (central angle in degrees × π × radius²) ÷ 360.

What's the difference between arc length and sector area?

Arc length measures the curved distance along the circle's edge, while sector area measures the total enclosed space within the sector.