Math / CALCULATOR

Involute Function of an Angle

Involute Function of an Angle with a worked example and explicitly bounded inputs.

Runs on your deviceUpdates as you typeFormula & example ↓
01

Your inputs

Adjust the values to explore a different result.

°
Enter angle in °.

Formula

inv(θ)=tan(θ)−θ with θ in radians.
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Angle input in degrees; the dimensionless involute uses radians internally. No inverse involute or gear tooth design.

Example Calculation

Example inputs
  • Angle: 20 °

Angle = 20. Primary result: 0.014904383867.

Frequently asked questions

How do I use this calculator?

Enter angle. The result updates automatically. Use Reset to restore the example values.

What method does it use?

inv(θ)=tan(θ)−θ with θ in radians.. Angle input in degrees; the dimensionless involute uses radians internally. No inverse involute or gear tooth design.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.