How does the Sector Area Calculator work?

Sector area = ½r²θ (θ in radians) Then: Sector area = (θ/360) × πr² (θ in degrees) Then: Arc length = rθ (radians) Then: Perimeter of sector = 2r + arc length.

Can you give an example of how to use the Sector Area Calculator?

Example: Input r = 5, θ = 90° gives a result of Area = ¼π×25 ≈ 19.63.

Is the Sector Area Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Sector Area Calculator?

Our Sector Area Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

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Sector Area Calculator

Radius (r)

Angle

A sector is the "pie slice" region of a circle bounded by two radii and an arc. The sector area calculator finds the area and arc length from the radius and central angle.

Symbol	Name	Unit	Description
r	radius	length	—
θ	central angle	degrees or radians	—
A	sector area	length²	—

Angle (°)	Area	Arc Length
30	26.18	5.24
45	39.27	7.85
90	78.54	15.71
180	157.08	31.42
360	314.16	62.83

References

›Circular sector — Wikipedia

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Sector Area Calculator

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Sector Area Calculator