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Circle Chord Calculator

Calculate the straight chord joining two points on a circle. The smaller central angle ranges from 0 to 180 degrees.

Enter your values

Enter a numeric value. Distance from the centre to the edge; half the diameter. Must be greater than zero.
°
Required unit: °. Use a non-negative value. Allowed range: 0–180.

Use a decimal point, without thousands separators.

Example result
Chord length
5

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

Calculate the straight chord joining two points on a circle. The smaller central angle ranges from 0 to 180 degrees.

Inputs and units
Circle Chord Calculator · Inputs and units
InputExample valueWhat to enter
Radius5Enter a numeric value. Distance from the centre to the edge; half the diameter. Must be greater than zero.
Central angle60 °Required unit: °. Use a non-negative value. Allowed range: 0–180.
c = 2r sin(θ/2)

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Radius
5
Central angle
60 °

Complete example results

Chord length
5

Reading the result

Enter lengths in the same unit. Area uses the square of that unit and volume its cube. Height is perpendicular to the base; use a sloping side only when the input explicitly asks for it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Methods & accuracy

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