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.
- 1Sector area = ½r²θ (θ in radians)
- 2Sector area = (θ/360) × πr² (θ in degrees)
- 3Arc length = rθ (radians)
- 4Perimeter of sector = 2r + arc length
r = 5, θ = 90°=Area = ¼π×25 ≈ 19.63
r = 10, θ = 60°=Area = ⅙π×100 ≈ 52.36
| 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
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