Chord Length Calculator
Result
Chord Length10 cm
Sagitta (arrow)1.339746 cm
Arc Length10.471976 cm
Distance from Center8.660254 cm
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Chord Length Calculator — free online calculator.
Formula
Chord = 2r·sin(θ/2); Sagitta = r − r·cos(θ/2); Arc = r×θ_rad; Distance from center = r·cos(θ/2)
- Chord Length Calculator calculates its result from Rate (decimal), Angle θ, Theta Rad. It uses the formula Chord = 2r·sin(θ/2); Sagitta = r − r·cos(θ/2); Arc = r×θ_rad; Distance from center = r·cos(θ/2). Change any input to recalculate the result instantly.
- The main inputs are Radius, Central Angle. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Chord Length
Inputs
- Radius: 10 cm
- Central Angle: 60 degrees
Using Rate (decimal) = 0.05, Angle θ = 3, Theta Rad = 4, the calculated result is 0.0035368601.
Sample result: Calculating…
Frequently asked questions
What does the Chord Length calculate?
Chord Length Calculator — free online calculator.
Which values should I enter?
Enter Radius, Central Angle using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: Chord = 2r·sin(θ/2); Sagitta = r − r·cos(θ/2); Arc = r×θ_rad; Distance from center = r·cos(θ/2).
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.