How to use this calculator
- Enter the outside diameter of the empty core and the combined thickness of the label and backing liner.
- Enter the pitch (label height plus gap) and the number of labels to wind on the roll.
- Compare the estimated outside diameter with the maximum roll size your printer accepts.
Allow for real-world winding and material variation; an estimate exactly at the printer limit leaves no margin.
Formula and method
The calculator converts dimensions to millimetres, calculates required web length as label count × pitch, then rearranges the annular roll-length formula: D = √(d² + 4 × t × L ÷ π).
Worked example
A 76 mm core carrying 1,688 labels at 103 mm pitch with 0.16 mm combined caliper produces an estimated outside diameter of about 203 mm.
How to interpret the result
Use the result to compare a planned roll build with printer capacity, packaging limits or a supplier specification, then allow practical manufacturing tolerance.
Limitations
Real outside diameter varies with liner and adhesive construction, compression, winding tension, telescoping and caliper tolerance. The result is a geometric estimate, not a manufacturing guarantee.
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Usage instructions updated October 19, 2026.
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