`L = 2*r*sin(theta/2)`

Enter a value for all fields

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

Related Calculators:

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• Segment Area f(r,θ) - This computes the area of an arc segment of a circle given the radius (r) and angle (θ)
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• Sector Area f(r,Θ)- This computes the area of a sector (pie slice) of a circle given the radius (r) and angle (Θ).
• Area of Annulus- This computes the area of an annulus (ring) given the inner radius (r) and outer radius (R).
• Radius -Center to a Point - This computes the radius of a circle given the center point (h,k) and any other point (x,y) on the circle.
• Circumference -  This computes the circumference of a circle given the radius (C = 2 π r).
• Arc Lengths - This computes the length of a cord segment (arc length) on a circle given the radius (r) and angle (Θ)
• Circle within a Triangle -  This computes the radius of a circle inscribed within a triangle given the length of the three sides (a,b,c) of the triangle.
• Circle around a Triangle - This computes the radius of a circle that circumscribes a triangle given the length of the three sides (a,b,c) of the triangle.
• Radius from Circumference - This computes the radius of a circle given the circumference.
• Circumference from Area - This computes the circumference of a circle given the area.
• Radius from Area - This computes the radius of a circle given the area.
• Radius from Chord-  This computes the radius of a circle based on the length of a chord and the chord's center height.