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Print Planning Tool

QR Roll Label Planner

Plan a roll of QR labels: enter the roll and label dimensions, and get the roll length, labels per roll, rolls needed, and leftover labels.

Enter your numbers

Roll length comes from the annulus area: length = π × ((outer/2)² − (core/2)²) / thickness. Pitch = label height + gap. Labels per roll = floor(roll length / pitch). Rolls needed = ceil(total labels / labels per roll). This assumes the material winds uniformly with no leader or trailer.

Result

Labels per roll
3,381
Roll length about 179.2 m
Rolls needed for 10,000 labels3
Leftover labels on the last roll143
Pitch (label + gap)53 mm

Confirm the roll length with your supplier: leader, trailer, and winding tension all take a little length, so order with a small margin.

How to use the QR Roll Label Planner

How this planner works

A wound roll is an annulus: the material area is the area of the outer circle minus the area of the core, and dividing that area by the material thickness gives the length of material on the roll. Dividing the length by the pitch — one label plus one gap — gives labels per roll, and dividing your total need by labels per roll, rounded up, gives rolls needed.

Why the inputs matter

Outer diameter and core diameter set how much material fits; thickness sets how tightly it packs. A small error in thickness moves the roll length a lot, because the whole area is divided by it. If your supplier quotes roll length directly, use that figure instead of deriving it — the derivation is for when you only have diameters and a calliper.

Ordering with margin

The calculation assumes perfect winding with no leader or trailer. Real rolls lose some length to the start and end, so add a small margin when ordering, and keep one spare roll for long runs. Check the first roll against the plan before committing the whole order.

Frequently Asked Questions

Why derive roll length from diameters?

Suppliers sometimes quote only outer and core diameters plus material thickness. The annulus formula turns those into a roll length; if your supplier quotes a length directly, use that instead.

What about leader and trailer length?

The calculation assumes no leader or trailer. Real rolls lose a little length at the start and end, so order with a small margin and confirm the usable length with your supplier.

Does label width matter here?

Not for labels per roll: rolls feed along the length, so the count depends on label height plus gap. Width matters for choosing the roll width and printer, not for this count.

Why round rolls up?

You cannot order part of a roll for a job that needs whole labels. Rounding up gives the full rolls that cover the total, and the leftover figure shows how many labels remain on the last roll.