Circular Segment
Find the area enclosed by a chord and its selected circular arc.
Your numbers
Segment area
Use consistent units. The result follows the assumptions you enter.
Scenario comparison
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Formula
Convert the entered angle a in degrees to θ = πa/180 radians. Use A = r²(θ−sinθ)/2 and c = 2r sin(θ/2). r is radius, A is segment area, and c is chord length.
Find the area enclosed by a chord and its selected circular arc.
Worked example
- Radius (m)
- 2
- Arc angle (degrees)
- 60
- Segment area
- 0.362344294824 m²
- Chord
- 2 m
Scope and limitations
Use consistent units. The result follows the assumptions you enter.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: f560d8cb430f · Example checked: