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Vriksai Timber Intelligence

Ring Segment Calculator

Calculate miter angle, chord length, kerf correction, radial depth and volume for segmented bowls, vases, wheels and arches. Any segment count 3–72.

Any N Segments (3-72)Kerf CorrectionVolume per SegmentInner & Outer ChordPDF Report
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Ring Segment — Calculator

Calculate miter angle, chord length, kerf correction, radial depth and volume for segmented bowls, vases, wheels and arches. Any segment count 3–72.

Units & Project Type
Unit System
Project Type
Number of Segments
segs
Ring Dimensions
Outer Diameter (OD)
mm
Inner Diameter (ID)
mm
Ring Height / Thickness
mm
Saw Blade Kerf Width
mm
Typical carbide blade: 3.0–3.5mm. Enter 0 to skip kerf correction.
Wood Species (for volume & weight)

🔄 Ring Segment Calculator

Computes precise dimensions for wedge-shaped segments that form a perfect circle. Essential for segmented woodturning — bowls, vases, rings, wheels — where even 0.1° error per segment creates visible gaps. Includes automatic saw kerf correction.

Where Used?

Segmented BowlsTurned VasesDecorative RingsWooden WheelsArch PanelsIndian Handicrafts

Formulas

Miter angle: theta = 90 - (180 / N) where N = number of segmentsOuter chord: L = 2 x R_outer x sin(PI / N)Kerf correction: dL = kerf / sin(theta) [material lost per cut end]Cut length: L_cut = outer_chord - kerf_correctionVolume/seg: V = PI x (Rout2 - Rin2) x H / N

FAQ

Why correct for saw kerf?
Each cut removes material = kerf width (3–3.5mm for carbide). Without correction, each segment is slightly too short and the ring diameter will be smaller than intended. This calculator adds back exactly the material lost at each miter cut.
Best segment count for a bowl?
12 segments is most common — balances efficiency with smoothness. Under 8 leaves visible flat spots after turning. 16–24 segments produces near-round assemblies with minimal lathe work. Traditional Indian turned work uses 12–16 segments.
ResourcesView the formulasFormula Library

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