Gear Calculator — Spur Gear Dimensions
Design spur gears with correct module, tooth count and pitch circle dimensions.
Tooth size factor
How We Calculate This
Spur Gear Formulas
- Pitch diameter = Module x Number of teeth
- Outer diameter = Pitch diameter + 2 x Module
- Root diameter = Pitch diameter - 2.5 x Module
- Circular pitch = Pi x Module
- Base circle = Pitch diameter x cos(Pressure angle)
The module determines the size of the teeth. For two gears to mesh, they must share the same module and pressure angle. The pitch circle is where the teeth of meshing gears make contact.
Frequently Asked Questions
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Last updated: February 2026
All calculations are estimates. Always verify settings with test prints before committing to final prints.