Trigonometry

Chord Length

Chord length from radius and central angle.

Formula

Formula
L = 2 r sin(θ2)

Variables

SymbolDefinitionType & rangeUnitsRole
r radius real number (ℝ) input
θ central angle (deg) computed result result

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
Givenradius r = 5, angle θ (deg) = 60
Result5
Example 2
Givenradius r = 10, angle θ (deg) = 90
Result14.14213562