⭕ Circles
Length of a chord from radius and central angle
Formula
Length of a chord from radius and central angle
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Chord Length (chord length) is a circles relationship written as Length of a chord from radius and central angle or chord = 2r sin(θ/2). Students use it to solve unknowns when enough values are known.
Write Length of a chord from radius and central angle, substitute the known numbers carefully, then simplify. Worked walkthrough: r = 10 θ = 60° chord = 2×10×sin(30°) = 10.
Chord Length usually appears in circles units during middle or secondary school. Match difficulty with MathDigits grade worksheets so practice fits the curriculum year.
On this page the worked result is 10. Generate a formula worksheet below for more unique practice sets.
