The tire diameter calculator decodes a P-metric tire code into six real dimensions — overall diameter, sidewall height, circumference, and revolutions per mile/km — and lets you compare two fitments side by side so you can see at a glance whether a plus-size swap or a budget-brand substitute keeps you within the safe ±3 % diameter window.
How the P-metric formula works
A tire code like 225/45R17 packs three measurements into one string:
| Part | Meaning | Value |
|---|---|---|
| 225 | Section width | 225 mm |
| 45 | Aspect ratio (% of width) | 45% |
| R17 | Rim diameter | 17 inches |
Sidewall height is simply width × (aspect ÷ 100):
sidewall = 225 × 0.45 = 101.25 mm
Overall diameter adds two sidewalls to the rim converted to millimetres (1 inch = 25.4 mm):
diameter = (17 × 25.4) + 2 × 101.25 = 431.8 + 202.5 = 634.3 mm (24.97”)
Circumference follows from pi times diameter:
C = π × 634.3 = 1,991.9 mm (78.43”)
Revolutions per mile uses the fact that one mile = 63,360 inches:
rev/mile = 63,360 ÷ 78.43 = 807.8
Worked example — plus sizing from 225/45R17 to 235/40R18
| Dimension | 225/45R17 | 235/40R18 | Difference |
|---|---|---|---|
| Sidewall | 101.3 mm | 94.0 mm | −7.3 mm |
| Diameter | 634.3 mm | 645.2 mm | +10.9 mm (+1.7%) |
| Circumference | 1992.0 mm | 2027.0 mm | +35 mm |
| Revs/mile | 807.6 | 794.0 | −13.6 |
| Revs/km | 501.7 | 493.4 | −8.3 |
A 1.7% diameter increase is well within the safe ±3% window. At an indicated 100 km/h, your true speed is 98.3 km/h — the speedo reads slightly high because the larger tire covers more ground per revolution.
Speedometer correction
Your vehicle was factory-calibrated using the number of revolutions per unit distance for the OEM tire. When you fit a larger tire, each revolution covers more ground, so the revolution counter underestimates speed:
true speed = indicated speed × (original diameter ÷ alternate diameter)
A 5% larger-diameter tire makes you travel 5% faster than the dash shows. At a motorway limit of 70 mph, that 5% gap is 3.5 mph — enough to affect legality in a speed camera dispute, so always verify with a GPS app after fitting non-OEM sizes.
Formula note
All calculations follow the SAE J2564 P-metric standard. Section width is measured at maximum inflation (not mounted width, which is typically 6–8 mm narrower). Actual rolling radius under load is 1–2% less than the static radius used here, which is why tire manufacturers publish a “loaded radius” separately for precise tachograph/odometer work.