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Sector Area Calculator

Area of a circular sector by radius and angle

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.

  1. 1Sector area = ½r²θ (θ in radians)
  2. 2Sector area = (θ/360) × πr² (θ in degrees)
  3. 3Arc length = rθ (radians)
  4. 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 (°)AreaArc Length
3026.185.24
4539.277.85
9078.5415.71
180157.0831.42
360314.1662.83
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