PackCalc Global

Paper Roll Length Calculator

Calculator Input Form

Measurement Unit

Measure across the entire roll through the center.
mm
Measure the outer diameter of the core/tube.
mm
Single sheet thickness (usually 0.05 - 1.0mm).
mm

Estimated Roll Length

Ready to Calculate

Enter the roll dimensions above and click 'Calculate Length' to see the predicted total length.

Meters (m)
0.00
Feet (ft)
0.00

Calculation Details

Roll Outer Diameter (D) 0 mm
Core Outer Diameter (d) 0 mm
Paper Thickness (t) 0 mm

Calculation Formula

L = π × (D² - d²) ÷ (4 × t)

The Paper Roll Winding Math Formula

The length of a wound paper roll is determined using standard solid geometry. By calculating the cross-sectional area of the ring of paper (excluding the empty core inside) and dividing it by the sheet thickness, we find the exact linear length.

The Core Formula:

L = π × (D² - d²) ÷ (4 × t)
  • L = Total paper roll length (in millimeters)
  • D = Roll Outer Diameter (in millimeters)
  • d = Core Outer Diameter (in millimeters)
  • t = Paper Sheet Thickness (in millimeters)
  • π (Pi) ≈ 3.141592653589793

After executing the mathematical equation, the script performs conversions: meters (divided by 1,000) and feet (divided by 304.8).