trigonometry calculators

Sector Area Calculator

Calculate the area of a circular sector

About this calculator

The Sector Area Calculator determines the area of a circular sector - a portion of a circle bounded by two radii and an arc. This tool is essential for students, engineers, architects, and professionals working with geometric calculations involving partial circles. Whether you're calculating material quantities for curved construction projects, solving geometry problems, or designing circular segments, this calculator provides instant and accurate results for any sector size.

How to use

Enter the radius of the circle and the central angle of the sector (in degrees or radians). The calculator will instantly compute the sector area using the formula: Area = (θ/360°) × πr² for degrees or Area = (θ/2) × r² for radians. Switch between angle units as needed for your specific requirements.

Frequently asked questions

What is a circular sector?

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

Can I use both degrees and radians?

Yes, the calculator accepts angles in both degrees and radians. Simply select your preferred unit before entering the angle measurement.

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

Sector area measures the space inside the sector, while arc length measures only the curved boundary distance of the sector.