Math Calculators

Circular Segment Area Calculator

Calculate the area and chord length of a circular segment from its radius and central angle, with the radius in the unit of your choice.

Segment area —

Chord length —

About the Circular Segment Area Calculator

A circular segment is the region between a chord and the arc it cuts off. Its area equals the sector area minus the triangle formed by the two radii and the chord. The radius, segment area and chord length each have their own independent unit selector; the central angle stays in degrees.

Formula: Segment Area = (r² ÷ 2) × (θ − sin θ) · Chord Length = 2r × sin(θ ÷ 2), with θ in radians

This calculation is used in engineering for pipe flow cross-sections, tank volumes and architectural arches.