Chord Length Calculator
Calculate the length of a chord from the circle radius and central angle.
Inputs
units
°
Chord Length
10.0000units
Step by step
Apply chord formula
chord = 2 × 10 × sin(60°/2)
= 10.0000
How it works
The chord length of a circle is found using the formula 2r·sin(θ/2), where r is the radius and θ is the central angle in radians.
Formula
Chord Length
chord = 2r × sin(θ/2)
- r
- Radius of the circle
- θ
- Central angle subtended by the chord
Frequently Asked Questions
What is the longest possible chord?
The diameter — which corresponds to a central angle of 180°.
Does this work for angles over 180°?
Yes — for reflex angles the formula still gives the chord length, which is the same as for the supplementary angle.