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MATH / PLANE GEOMETRY

Circle Chord Length Calculator

Calculate chord length from circle radius and subtended central angle. Inspect the equation, substituted values, result, assumptions, and interpretation in one guided workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Calculate chord length from circle radius and subtended central angle. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

c=2r sin(theta/2)

What you provide

What you provide

  • Circle radius expressed in units, using the same scenario as the other inputs
  • Central angle expressed in deg, using the same scenario as the other inputs

What you receive

What you receive

  • Chord length in units from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

The angle is the smaller or larger central angle associated with the intended chord.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors