Circular Segment Area Calculator
Find the area between a chord and its minor circular arc, using radius and a central angle from 0° to 180°.
Formula
A = r²(θ − sin θ)/2; θ = angle × π/180.
Radius: 4 in · Area in m² ≈ (4 in × 0.0254 m/in)^2×((90)×pi÷180-sin((90)×pi÷180))÷2 · Area in cm² ≈ (0.002946039666)×10000
How to use
- Enter the radius and unit.
- Enter the central angle in degrees.
- Read the area in m² and cm².
Examples
- r = 1 m, angle = 90°: A ≈ 0.285398 m².
Frequently asked questions
Which angle should I enter?
Use the angle at the center, in degrees.
Is this a sector?
No. A minor segment removes the triangle from the sector.
How do I find the major segment?
Subtract the minor segment from the full circle area πr².
Sources
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