Arc length & sector area
Calculate the arc length or sector area given a radius and central angle.
Find
Radius
Angle (°)
Formulas
Arc length: s = rθ (θ in radians) or s = 2πr × (θ/360°)
Sector area: A = ½r²θ (θ in radians) or A = πr² × (θ/360°)
Examples
Radius 5, angle 60°: Arc length = 2π(5)(60/360) = 5π/3 ≈ 5.24. Sector area = π(25)(60/360) = 25π/6 ≈ 13.09.
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