Circle Chord Length from Angle and Radius

The Chord of a Circle calculator computes the length of a chord (d) on a circle based on the radius (r) of the circle and the angle of the arc (θ).  

INSTRUCTIONS:  Choose units and enter the following:

• (θ) The length of the arc
• (r) The radius of the circle

Chord of a Circle (L): The calculator compute the length of the chord (d) in meters.  However, this can be automatically converted to other length units via the pull-down menu.

The Math

The formula for the length of a circle's chord from the radius and angle is:

  L = 2•r•sin (θ/2)

where:

• L is the length of the chord
• r is the radius of the circle
• θ is the angle

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