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Math & statistics

Circular sector area

Circular sector area: Sector area = π × radius² × central angle / 360 for angles from zero through 360 degrees.

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How it works

Sector area = π × radius² × central angle / 360 for angles from zero through 360 degrees.

Input definitions

Radius
Enter the value in the labeled unit.
Central angle (degrees)
Enter the value in the labeled unit.

A worked example

Radius
3
Central angle (degrees)
90
7.068583

Assumptions & limits

Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-18. Content checked against the stated method and examples. Our verification approach.

Common questions

Is the angle measured in radians?

No. Enter degrees from 0 to 360; the output is in square units of the entered radius.

How does Circular sector area work?

Sector area = π × radius² × central angle / 360 for angles from zero through 360 degrees.

What should I check before using Circular sector area?

Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.

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