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Sector of a Circle formulas

4 formulas for Sector of a Circle, from the Mensuration (2D & 3D) section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.

Sector of a Circle
NameFormulaNote
AreaA = (θ/360°) × πr²
Arc lengthl = (θ/360°) × 2πr
PerimeterP = l + 2r 🧮 Solve step by step
Area (radians)A = ½ r²θ = ½ l r 🧮 Solve step by step

What the letters mean

rradius
θcentral angle (degrees)

A 'slice' of a circle bounded by two radii and an arc.

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Related: Mensuration (2D & 3D)