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Chamfer / Countersink Calculator

Use the small diameter, large diameter, and included angle to calculate the ideal axial depth of a centered conical chamfer or countersink in metric or imperial units.

Part of Workshop Calc ↗
Unit system
Ready to calculate

Enter the dimensions, then calculate to see a checkable result.

Estimate only:Verify the cutter angle, drawing callout, inspection method, and tolerance before machining a production part.

02 / Method & limits

Make the calculation checkable.

Depth formula

Axial depth = (large diameter − small diameter) / (2 × tan(included angle / 2)). The formula treats the feature as a centered, ideal cone.

Worked example

A 90° countersink increasing from 6 mm to 10 mm has an ideal axial depth of 2 mm because tan(45°) = 1.

Assumptions and limits

  • The included angle must be between 0° and 180°, and the large diameter must exceed the small diameter.
  • The formula assumes coaxial diameters and a perfect conical surface without tool-tip flats, runout, edge breaks, or burrs.
  • Actual depth may differ because of cutter geometry, wear, material, measurement method, and tolerance.

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