Formulas (θ in radians)
- Arc length: ℓ = r · θ
- Sector area: Asector = ½ r² θ
- Chord: c = 2r · sin(θ/2)
- Sagitta (arc height): h = r · (1 − cos(θ/2))
- Segment area: Asegment = ½ r² (θ − sin θ)
- Sector perimeter: P = 2r + ℓ
Circle sector & segment calculator
A sector is the "pie slice" between two radii. A segment is the region between a chord and the arc. Enter radius and central angle to get all derived quantities.
Arc length
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Sector area
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Segment area
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Chord length
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Sagitta (height of arc)
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Sector perimeter
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