Math

Chord Length Calculator

Find a circle's chord length from its radius and central angle.

Calculated Output

Chord length 5

Formula: chord = 2r·sin(θ ÷ 2)

Step-by-Step Breakdown

1. Values used:

2. Radius = 5

3. Central angle = 60 °

5. Chord length = 5

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The math behind it

chord = 2r·sin(θ/2), where θ is the central angle the chord subtends.

Radius 5, angle 60° → 2·5·sin(30°) = 5.

What is the longest chord?

The diameter, when the central angle is 180°.