Calculators · Tyres and gearing

Tyre size calculator and comparison

A tyre size such as 225/45R17 encodes the tyre’s width, sidewall height and rim diameter. From it you can work out the overall diameter, circumference and how many times the tyre turns per kilometre. Changing tyre size changes all of these, which shifts ride height, gearing and what the speedometer shows. These calculators decode a size, compare two sizes and show the resulting speedometer error.

Tyre dimensions from the size code

Decodes a tyre size into sidewall height, overall diameter, circumference and revolutions per kilometre and mile. These are unloaded figures; a tyre under load rolls on a radius typically 2–3% smaller.

Results
Sidewall height—Height of the tyre from rim to tread.
Overall diameter—Rim diameter plus two sidewalls.
Circumference—Distance travelled in one revolution (unloaded).
Revolutions per km—rev/kmHow many times the tyre turns in one kilometre.
Revolutions per mile—rev/mileHow many times the tyre turns in one mile.

Formula
sidewall = width × aspect / 100
diameter = rim × 25.4 + 2 × sidewall
circumference = π × diameter

Compare two tyre sizes

Shows how a new tyre size differs from the current one in diameter, circumference and ride height. Most manufacturers recommend keeping the overall diameter within about 3% of the original size.

Results
Diameter difference—New diameter minus current diameter.
Diameter change—%Percentage change; aim to stay within about ±3%.
Ride height change—Half the diameter change — how much the car rises or drops.
Circumference change—Extra distance travelled per revolution.

Formula
change % = (D_new − D_current) / D_current × 100
ride height change = (D_new − D_current) / 2

Speedometer error after a tyre change

The speedometer counts wheel revolutions, so a larger tyre makes the car travel further than the speedometer thinks. This calculator shows your true speed for any indicated speed after changing size.

Results
Actual speed—True road speed with the new tyres.
Speedometer error—Actual minus indicated; positive means you are going faster than shown.

Formula
actual = indicated × D_new / D_current

Worked example: 225/45R17 to 225/50R17

  1. Current sidewall: 225 × 0.45 = 101.25 mm; diameter 17 × 25.4 + 2 × 101.25 = 634.3 mm.
  2. New sidewall: 225 × 0.50 = 112.5 mm; diameter 431.8 + 225 = 656.8 mm.
  3. Difference: +22.5 mm, or +3.55% — just over the usual 3% guideline.
  4. At an indicated 100 km/h the car is really doing 100 × 656.8 / 634.3 = 103.5 km/h.

Overall diameter of common tyre sizes (unloaded)

Tyre sizeSidewallOverall diameter
205/55R16112.8 mm631.9 mm
225/45R17101.3 mm634.3 mm
225/40R1890.0 mm637.2 mm
235/35R1982.3 mm647.1 mm
265/70R17185.5 mm802.8 mm

Related

About these results

Results are theoretical estimates from standard engineering formulas. Real-world figures depend on conditions these formulas do not capture. Always follow the manufacturer's specifications for maintenance, loading and safety decisions.