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Roll stock length estimator

Estimate usable roll length, area and the shortage for a print job without unwinding.

This tool is archived. Recheck its method and dated data before use.

01Enter your values

Runs in your browser

Runs offline in your browser. Once the page and required files have loaded, processing needs no internet.

For print-shop stock checks: measure the outside diameter, core outside diameter and complete layer thickness including backing. Diameters and width are mm; thickness is µm. Annular area divided by thickness gives length. Subtract unusable leader or damage. Tight, uniform winding only; compression and air gaps cause error.

Example
mm
mm
µm
mm
m
Advanced options
m

How it works

Estimate usable roll length, area and the shortage for a print job without unwinding.

L (m) = π × (D² − d²) / (4t); D, d: mm; t: µm

Runs in your browser

Discovery source

Your data stays yours

Inputs are processed on this page and are never sent to a server.

About this tool

Estimate usable roll length, area and the shortage for a print job without unwinding.

For print-shop stock checks: measure the outside diameter, core outside diameter and complete layer thickness including backing. Diameters and width are mm; thickness is µm. Annular area divided by thickness gives length. Subtract unusable leader or damage. Tight, uniform winding only; compression and air gaps cause error.

Use tool ↑
How to use it
  1. Enter your values
    • Outside roll diameter
    • Core outside diameter
    • Total layer thickness
    • Roll width
    • Job length required
    • Unusable length allowance
  2. Calculation method

    L (m) = π × (D² − d²) / (4t); D, d: mm; t: µm

  3. Example scenario · Result

    266.794667 m

Calculation method

  1. For print-shop stock checks: measure the outside diameter, core outside diameter and complete layer thickness including backing.
  2. Diameters and width are mm; thickness is µm.
  3. Annular area divided by thickness gives length.
  4. Subtract unusable leader or damage.
  5. Tight, uniform winding only; compression and air gaps cause error.
L (m) = π × (D² − d²) / (4t); D, d: mm; t: µm
Example scenario

Roll stock length estimator

Outside roll diameter
200 mm
Core outside diameter
76 mm
Total layer thickness
100 µm
Roll width
1370 mm
Job length required
200 m
Unusable length allowance
2 m
Result
266.794667 m

Frequently asked questions

Does backing count in the thickness?

Yes. Include every layer wound onto the roll. Use measured stock thickness; verify the estimate before committing an expensive job.

Where does my data go?

Calculations run on your device. Form inputs are not sent to a server.

Terms and definitions

Enter your values

Measurement system

The initial choice follows your browser region. Your choice is remembered on this device. Gallons are US gallons. Switching units keeps your numbers unchanged and interprets them in the new unit.

Numbers stay unchanged. Check the new unit and enter the intended measurement, or select an example for that system.

Outside roll diameter

For print-shop stock checks: measure the outside diameter, core outside diameter and complete layer thickness including backing.

Enter a numerical value for this quantity. Use the unit shown beside this field. mm / in

Minimum: 0.01 · Maximum: 10000 mm

Core outside diameter

For print-shop stock checks: measure the outside diameter, core outside diameter and complete layer thickness including backing.

Enter a numerical value for this quantity. Use the unit shown beside this field. mm / in

Minimum: 0 · Maximum: 10000 mm

Total layer thickness

For print-shop stock checks: measure the outside diameter, core outside diameter and complete layer thickness including backing.

Enter a numerical value for this quantity. Use the unit shown beside this field. µm / mil

Minimum: 0.1 · Maximum: 100000 µm

Roll width

Enter a numerical value for this quantity. Use the unit shown beside this field. mm / in

Minimum: 0.01 · Maximum: 100000 mm

Job length required

Annular area divided by thickness gives length.

Enter a numerical value for this quantity. Use the unit shown beside this field. m / ft

Minimum: 0 · Maximum: 1000000 m

Unusable length allowance

Annular area divided by thickness gives length.

Enter a numerical value for this quantity. Use the unit shown beside this field. m / ft

Minimum: 0 · Maximum: 1000000 m

Result

Result

For print-shop stock checks: measure the outside diameter, core outside diameter and complete layer thickness including backing. Diameters and width are mm; thickness is µm. Annular area divided by thickness gives length. Subtract unusable leader or damage. Tight, uniform winding only; compression and air gaps cause error.

Calculated from your entries using the method below.

Usable area

Annular area divided by thickness gives length.

Calculated from your entries using the method below.

Length shortfall

Annular area divided by thickness gives length.

Calculated from your entries using the method below.

Remaining after job

For print-shop stock checks: measure the outside diameter, core outside diameter and complete layer thickness including backing. Diameters and width are mm; thickness is µm. Annular area divided by thickness gives length. Subtract unusable leader or damage. Tight, uniform winding only; compression and air gaps cause error.

Calculated from your entries using the method below.

Value

For print-shop stock checks: measure the outside diameter, core outside diameter and complete layer thickness including backing. Diameters and width are mm; thickness is µm. Annular area divided by thickness gives length. Subtract unusable leader or damage. Tight, uniform winding only; compression and air gaps cause error.

Calculated from your entries using the method below.

Common mistakes and quick fixes

Outside roll diameter · Core outside diameter · Total layer thickness

Mistake: Changing units and assuming the entered numbers were converted.

Fix: Numbers stay unchanged. Check the new unit and enter the intended measurement, or select an example for that system.

Does backing count in the thickness?

Mistake: Treating a result as valid outside the described scope.

Fix: Yes. Include every layer wound onto the roll. Use measured stock thickness; verify the estimate before committing an expensive job.

Limits and key assumptions

  • Yes. Include every layer wound onto the roll. Use measured stock thickness; verify the estimate before committing an expensive job.
  • Displayed results may be rounded; rounding does not add measurement precision.