Quilling Strip Length Calculator
The area the wound strip fills equals the finished coil's circular area minus the center hole's area. Dividing that area by the strip width gives the length to wind — an area-based estimate rather than integrating the spiral directly.
Your numbers
Strip length needed
10.2cm
Formula
Strip length needed = π × ((Finished coil diameter (mm) ÷ 2)² − (Center hole diameter (mm) ÷ 2)²) ÷ Paper strip width (mm) ÷ 10
Thicker paper leaves small gaps between wound layers, so real usage runs a bit higher. Cut 5-10% extra for a size you haven't made before.
What to enter
| Input | Default | Accepted range |
|---|---|---|
| Finished coil diameter (mm) (mm) | 20 | 3 ~ 100 |
| Center hole diameter (mm) (mm) | 3 | 0 ~ 20 |
| Paper strip width (mm) (mm) | 3 | 1 ~ 10 |
Step by step
Quick reference table
Results when only Finished coil diameter (mm) (mm) changes and everything else stays put.
| Finished coil diameter (mm) (mm) | Strip length needed (cm) |
|---|---|
| 10 | 2.4 |
| 15 | 5.7 |
| 20 | 10.2 |
| 30 | 23.3 |
| 40 | 41.7 |
What each result means
| Result | At default values |
|---|---|
| Strip length needed (cm) | 10.2 |
Common mistakes
Thicker paper leaves small gaps between wound layers, so real usage runs a bit higher. Cut 5-10% extra for a size you haven't made before.
Frequently asked questions
QHow is Quilling Strip Length Calculator calculated?
Strip length needed = π × ((Finished coil diameter (mm) ÷ 2)² − (Center hole diameter (mm) ÷ 2)²) ÷ Paper strip width (mm) ÷ 10 — The area the wound strip fills equals the finished coil's circular area minus the center hole's area. Dividing that area by the strip width gives the length to wind — an area-based estimate rather than integrating the spiral directly.
QCan you walk through an example?
With Finished coil diameter (mm) 20mm, Center hole diameter (mm) 3mm, Paper strip width (mm) 3mm, the answer is Strip length needed 10.2cm.
QWhat do I need to enter?
Enter Finished coil diameter (mm), Center hole diameter (mm), Paper strip width (mm). The result recalculates as you type, and an empty box counts as zero.
QHow much does the answer move if I change a number?
Changing only Finished coil diameter (mm) (mm) moves the answer to Finished coil diameter (mm) (mm) 10 → Strip length needed (cm) 2.4 and Finished coil diameter (mm) (mm) 40 → Strip length needed (cm) 41.7. The table below lays out five steps.
QHow are the numbers rounded?
Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.
QAnything to watch out for?
Thicker paper leaves small gaps between wound layers, so real usage runs a bit higher. Cut 5-10% extra for a size you haven't made before.
Related calculators
Materials differ in density and absorption. If your label states a figure, use it — the defaults here are only common values.