Cylindrical Wrap Length Calculator

4TH & 5TH AXIS

Find the flat-pattern length of a feature wrapped around a cylindrical part on a 4th axis, such as engraved text, a label area, or a helical groove span.

Wrap Length (in)

Wrap length = pi x diameter x (wrap angle / 360). At 360 degrees this is just the full circumference, smaller angles give the arc length for a partial wrap.

How it works

Anything designed flat, like a line of engraved text or a label graphic, needs to fit within the available arc length on the actual cylinder before it gets wrapped onto the part by the rotary axis. Converting diameter and wrap angle into a flat length lets you lay it out correctly before cutting.

FAQ

Does this account for the part tapering? No, this assumes a constant diameter across the wrapped feature. For a tapered part, use the diameter at the section you care about most.

Related Guides

CNC Calculators · Rotary Indexing Calculator · Rotary 4th-Axis Feed Rate Calculator

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The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.