Examples
Examples
Try the starting example
- Segment count (segments)
- 12
- Outer ring diameter (mm)
- 200
- Inner ring diameter (mm)
- 120
- Segment stock height (mm)
- 20
- Crosscut kerf (mm)
- 3
- Miter angle (degrees)
- 15
- Outer trapezoid long edge (mm)
- 53.589838
- Inner trapezoid short edge (mm)
- 32.153903
- Radial stock width (mm)
- 40
- Conservative unreversed blank length (mm)
- 679.078062
- Stock volume (mm³)
- 543,262.449468
Try another scenario
- Segment count (segments)
- 8
- Outer ring diameter (mm)
- 200
- Inner ring diameter (mm)
- 120
- Segment stock height (mm)
- 20
- Crosscut kerf (mm)
- 3
- Miter angle (degrees)
- 22.5
- Outer trapezoid long edge (mm)
- 82.842712
- Inner trapezoid short edge (mm)
- 49.705627
- Radial stock width (mm)
- 40
- Conservative unreversed blank length (mm)
- 686.7417
- Stock volume (mm³)
- 549,393.359838
Calculation method
Calculation method
Miter angle (degrees)
180/N.
Outer trapezoid long edge (mm)
Do*tan(pi/N), with diameters measured across flats.
Inner trapezoid short edge (mm)
Di*tan(pi/N).
Radial stock width (mm)
(Do-Di)/2.
Conservative unreversed blank length (mm)
N*(outerEdge+kerf).
Stock volume (mm³)
blankLength*radialWidth*height.
Symbols and units
- a
- Segment count (segments)
- b
- Outer ring diameter (mm)
- c
- Inner ring diameter (mm)
- d
- Segment stock height (mm)
- e
- Crosscut kerf (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
- Regular polygon ring; specified diameters are across flats, not corners. Blank assumes unreversed nonnested segments and one kerf per segment; no turning allowance or structural claim. Supported limits: N integer 3..1000; Do>Di>0, height>0, kerf>=0.
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.