Circle Sector, Segment, Chord, and Arc Calculator

Unlock the power of circular sectors, segments, chords, and arcs with our comprehensive calculator.

The calculator is powerful and easy to use, Click on the two variables you know:

Radius & Segment Height ED Radius & Apothem OE

Radius and Central Angle Radius & Chord AB

Radius & Arc ADB

Chord AB & Segment Height ED Chord AB & Apothem OE

Segment Height ED & Apothem OE Chord AB & Arc ADB













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Circle Sector Diagram

Lines OA and OB are the radius of the circle.
Line AB is one chord of the circle.
The angle AOB is the central angle.
Line OE is the apothem.
The curved line ADB is an arc of the circle.
The area of a segment equals Sector Area - Triangle AOB Area
Line ED is the segment height.
The area AOBD is a sector.
Length of the arc ADB = (Central Angle / 180°) * π * r
Area of the sector AOBD = (Angle AOB / 360°) * π * r²
The ADBD area is the segment.