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Sector Calculator

Sector Calculator

Calculate arc length and sector area using degrees or radians. Get step-by-step solutions for all sector calculations.

Calculator Features

Arc Length

Calculate the length of the curved edge

s=rθ=θ360°×2πrs = r\theta = \frac{\theta}{360°} \times 2\pi r

Sector Area

Find the area of the pie-shaped region

A=12r2θ=θ360°×πr2A = \frac{1}{2}r^2\theta = \frac{\theta}{360°} \times \pi r^2

Degrees & Radians

Works with both angle units

θrad=θdeg×π180°\theta_{rad} = \frac{\theta_{deg} \times \pi}{180°}

Sector Formulas

Using Radians

Arc Length

s=rθs = r\theta

Sector Area

A=12r2θA = \frac{1}{2}r^2\theta

Using Degrees

Arc Length

s=θ360°×2πrs = \frac{\theta}{360°} \times 2\pi r

Sector Area

A=θ360°×πr2A = \frac{\theta}{360°} \times \pi r^2