How does the Circular Segment Calculator work?

Area = (r²/2) × (θ - sin(θ)) where θ = central angle in radians Then: Chord length = 2r × sin(θ/2) Then: Sagitta (height) = r × (1 - cos(θ/2)) Then: Convert degrees to radians: radians = degrees × π/180.

Can you give an example of how to use the Circular Segment Calculator?

Example: Input r=5, angle 90deg gives a result of Area 14.27.

Is the Circular Segment 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 Circular Segment Calculator?

Our Circular Segment 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.

Matematik

Circular Segment Calculator

Circular Segment

Radius (r)

Central angle (θ radians)

Calculates circular segment area (region between chord and arc) from radius and central angle.

Difficulty:intermediate

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Did You Know?

Circular segments appear in arch construction; understanding area critical for material calculation.

References

›Segment Calculator

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