Geometry calculator

Sector Area Calculator

Calculate the area enclosed by two radii and their circular arc from an entered central angle.

Enter circular measurements

Enter measurements and select Calculate.

Formula

Sector area = ½r²θ when θ is measured in radians, equivalent to πr² × angle ÷ 360 for degrees.

Ownership boundary

This page owns partial-circle sector area. The general Area Calculator remains the owner for full circles and other common shapes.

Worked example

The editable example values above demonstrate the formula and expose each assumption used in the result.

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