How to Use Bowl Segment Calculator
The Bowl Segment Calculator turns ring dimensions into ready-to-cut segment specs.
- Pick a unit — mm or inch.
- Enter outer diameter (OD), inner diameter (ID) and segment count — One ring at a time.
- Read the result — Miter angle per side, outer edge length, inner edge length, full ring height.
Formula & Theory — Bowl Segment Calculator
The Bowl Segment Calculator is grounded in regular-polygon geometry:
Miter angle = 180° / n
Outer edge = OD × tan(π / n)
Inner edge = ID × tan(π / n)
Cut angle = 90° - 180° / n (saw setting from 90°)| Symbol | Meaning |
|---|---|
| OD | Outside diameter of the ring |
| ID | Inside diameter of the ring |
| n | Number of segments per ring |
The outer and inner edges are the chords of the regular polygon inscribed (or circumscribed) about the diameter — twice the tangent of half the central angle multiplied by the diameter.
Ring stacking
Multiple rings stack to form bowl walls. Vary the diameters from ring to ring to shape the bowl profile while keeping segment count constant for visual consistency.
Use Cases for Bowl Segment Calculator
- Woodturning — Calculate segments for laminated bowls and vessels.
- Decorative concentric rings — Plan pen blanks, jewelry boxes and inlays.
- Lazy-Susan platters — Lay out polygonal substrates.
- Education — Teach polygon geometry through a craft-friendly project.
- Sketching designs — Quickly check feasibility before milling rough stock.
- Estimating waste — Sum theoretical lengths to plan board purchases.
The Bowl Segment Calculator keeps the math out of the way so you can focus on craftsmanship.