Examples
Examples
Try the starting example
- Ball end radius (mm)
- 5
- Step-over between parallel paths (mm)
- 6
- Ideal scallop height (mm)
- 1
- Scallop as radius share (%)
- 20
Try another scenario
- Ball end radius (mm)
- 13
- Step-over between parallel paths (mm)
- 10
- Ideal scallop height (mm)
- 1
- Scallop as radius share (%)
- 7.692308
Calculation method
Calculation method
Ideal scallop height (mm)
Let half-step = step-over/2. Height = half-step² / (radius + sqrt(radius² − half-step²)); the rationalised circular-sagitta formula avoids subtracting nearly equal numbers.
Scallop as radius share (%)
Scallop height / radius × 100.
Symbols and units
- a
- Ball end radius (mm)
- b
- Step-over between parallel paths (mm)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Ideal spherical tool over a flat surface with parallel passes. Surface slope, runout, deflection and actual roughness are excluded; the geometric height is not a machining-quality guarantee.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
OpenStax: arithmetic and geometry ↗
Background reading; this does not imply endorsement or independent review of SumFizz.