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Ideal Conical Recess Depth Calculator

Find full cone depth from top diameter and included angle.

  • Formula & worked example
  • Private in your browser
  • No signup
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Edit a calculated value to solve backwards, or lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Private by default

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

An ideal cone with a top diameter of 1 centimeter and an included angle of 90° has a tip depth of 0.5 centimeters.

Full cone depth = diameter ÷ (2 × tan(included angle ÷ 2))

Worked example

Enter these known values and leave the other values blank.

Diameter
1 cm
Angle
90 deg
Depth
0.5 cm

Assumptions and limitations

  • It is the depth to the ideal cone tip. For a countersink ending at a pilot-hole diameter, the additional depth uses the difference between the outer and pilot diameters instead. Actual tooling geometry also matters.
  • Use consistent units and project-specific dimensions, density and prices. This geometric estimate does not add quantities that are absent from the formula.

Common questions

Is this the extra countersink depth around a pilot hole?

It is the depth to the ideal cone tip. For a countersink ending at a pilot-hole diameter, the additional depth uses the difference between the outer and pilot diameters instead. Actual tooling geometry also matters.

References

The calculation equations, inverse formulas, units, and input rules were imported from this source. Bookify provides the interface and equation solver.

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