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Sector and Arc Calculator

Area arc length and perimeter of a sector

Sector Area Calculator

Radius (r)
Angle

Calculates the area of a circular sector (pie-slice shaped region) given radius and angle. A sector is defined by two radii and the arc between them.

  1. 1Area = (θ/360) × πr² for degrees
  2. 2Area = ½r²θ for radians
  3. 3Full circle = 360° = 2π radians
  4. 4Half circle sector = semicircle
r = 8, θ = 45°=Area = (45/360)×π×64 ≈ 25.13
r = 6, θ = 2 rad=Area = ½×36×2 = 36
rθ (°)Area
59019.63
84525.13
10120104.72
126075.40
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