Circle Chord Length Calculator (c = 2r·sin(θ/2))
This calculator computes the circle chord length: exact formula c = 2r·sin(θ/2), worked example r = 10 cm, θ = 60° → c = 10 cm.
- Free, instant, any units.
Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.
How the circle chord length Calculator Works
The calculator applies the exact formula c = 2r·sin(θ/2). Worked example: r = 10 cm, θ = 60° → c = 10 cm. Keep every input in one unit system and the result follows in length units (m, ft, cm); full precision is kept until the final rounding. Angles in radians pair with s = rθ; convert degrees with × π/180.
- 1
Enter the measurements
Type the values required by the formula for circle chord length.
- 2
Check the units
One unit system throughout — cm, m, ft or in.
- 3
Read the result
The calculator substitutes, evaluates and rounds only at the end.
Use Cases
Fabrication and layout work
Wire, trim and route length planning
Design and homework verification
Tips
- 1
Keep angles in radians for s = rθ formulas
- 2
1 rad = 57.2958°; degrees × π/180 = radians
- 3
Unroll curved paths into straight segments to sanity-check
Common Mistakes
Degrees entered where radians are required
Using the chord length as the arc length
Rounding π too early in chain calculations
FAQs
Related tools
Pick another tool to continue your calculation.
Circumscribed Circle Radius Calculator (R = abc/4A)
Calculate circumscribed circle radius of a triangle.
Inscribed Circle Radius Calculator (r = A/s)
Calculate inscribed circle radius of a triangle.
Cone Calculator (V = ⅓πr²h)
Calculate cone volume and surface area.
Frustum Lateral Surface Calculator (A = π(R+r)l)
Calculate frustum cone surface area.
Cube Calculator (V = a³)
Calculate cube volume, area, and diagonal.
Cylinder Calculator (V = πr²h)
Calculate cylinder volume and surface area.