Arc Length & Sector Area Calculator

Calculate arc length, sector area, chord length, and segment area for any radius and central angle with step-by-step solutions.

Radius (r)

Central Angle (θ)

Arc Length

units

Sector Area

square units

Chord Length

units

Segment Area

square units

Central Angle

Formula

L = (θ/360) × 2πr

s = arc length
r = radius
θ = central angle (radians)
A = ½r²θ (sector area)
c = 2r×sin(θ/2) (chord)

Related Calculators

Pro Tips

Sector is the "pizza slice" — sector area minus the triangle area gives the circular segment.

A full circle arc = circumference (2πr), achieved when θ = 2π radians (360°).