New vs Worn Tire Circumference Calculator
Compare a new tire with a worn one. Use the calculator below. Results update as you type.
Circumference = π × Overall DiameterHow the New vs Worn Tire Circumference Calculator Works
This calculator works by computing the circumference of a new tire and of the same tire after a set amount of tread loss. It reports the change in inches and percent.
- Enter the size, for example 235/65R17 (91.19 in new).
- Enter the tread lost, for example 8/32 in (6.4 mm).
- Read the worn circumference: 89.62 in.
- Read the change: −1.57 in, or −1.72%.
The Formula
The formula is Worn Circumference = π × (New Diameter − 2 × Tread Lost).
Circumference = π × Overall Diameter C_worn = π × (D_new − 2 × Tread Lost) Change = −2π × Tread LostThe absolute change is the same for every size at the same tread loss. Worked example: 8/32 in of loss always removes 2π × 0.25 = 1.57 in (39.9 mm) of circumference.
Conversion Table
The conversion table compares new and worn circumference for 6 sizes after 8/32 in (6.4 mm) of tread loss. The change is −1.57 in in every row, but the percentage falls from −2.01% to −1.46% as size grows.
Small car tires feel tread loss most in percent. Large truck tires feel it least.
| Size | New Circ (in) | Worn Circ (in) | Change (in) | Change (%) |
|---|---|---|---|---|
| 205/55R16 | 78.16 | 76.59 | -1.57 | -2.01% |
| 225/45R17 | 78.45 | 76.88 | -1.57 | -2.00% |
| 235/65R17 | 91.19 | 89.62 | -1.57 | -1.72% |
| 265/70R17 | 99.29 | 97.72 | -1.57 | -1.58% |
| 285/75R16 | 103.14 | 101.57 | -1.57 | -1.52% |
| 315/70R17 | 107.95 | 106.38 | -1.57 | -1.46% |
What Is the New vs Worn Tire Circumference Calculator?
The New vs Worn Tire Circumference Calculator is a tool that compares the rolling distance of a tire when new and after wear. Circumference ties directly to revs per mile and to speedometer and odometer accuracy.
The tool explains why a new set of tires changes the speedometer reading by 1–2% compared with the worn set it replaced.
Common Uses
This calculator has 4 uses: AWD matching, calibration timing, speedometer checks and fleet records.
- Match AWD tires: Measure the gap between new and worn.
- Time calibration: Calibrate on half-worn tires for average accuracy.
- Check speedometers: Explain readings after new tires.
- Keep fleet records: Track circumference over tire life.