Formulas and sources
Each formula this calculator uses, where it comes from, and what it leaves out. "How it works" shows the same formula with your own numbers.
Sidewall and overall diameter
For a metric size
- Width
- the section width, in mm
- Aspect
- the aspect ratio: the sidewall as a percentage of the width
- Rim
- the wheel diameter, in inches
- Sidewall
- the sidewall height, in mm
- Diameter
- the overall diameter, in mm
P, LT, ST, T and Euro-metric sizes are worked the same way, and R, ZR, D or B changes nothing in the arithmetic. A load index and speed symbol after the size are read for the load and speed only. In inches the size is written as a flotation size is, Diameter x Width then the rim, each to a tenth: 265/70R17 is about 31.6x10.4R17.
Source: The parts of a size as Michelin defines them [1]. The formula is written out as D = d + 2H, with H the width × 0.01 × the aspect ratio, in AIS-044 (Part 2), clause 6.1.2.2.1 [2], which lets a new tire’s sidewall term run 0.97 to 1.04 times it.
A flotation size
For a flotation size
- Diameter
- the first number, the overall diameter in inches
- Rim
- the wheel diameter, in inches
- Sidewall
- the sidewall height, in inches
In 33x12.50R15, 33 is the overall diameter, 12.50 the section width and 15 the rim, all in inches. The first number is a label: the maker’s table lists that tire at 32.5 in.
Source: Bridgestone’s high flotation sizing system [3]; BFGoodrich’s Mud-Terrain T/A KM3 size table [6].
Circumference and revolutions
- Circumference
- once round the tire
- Diameter
- the overall diameter in use
- Revs per mile
- turns of the tire in a mile
- Revs per km
- turns of the tire in a kilometer
A maker’s table gives the real tire: close to these diameters, within about 0.5% for metric sizes and 2% for revolutions per km, but its revolutions per mile run about 3% higher. The ratio between two sizes agrees.
Source: Standard formula; the inch is 25.4 mm and the mile 63,360 in, exactly [4]. Compared with the size tables of Michelin [5], BFGoodrich [6] [7] and Bridgestone [8] [9].
The change
With a new size
- New
- the new size’s figure
- Original
- the original’s figure
For every row of the table: diameter, width, sidewall, circumference and revolutions.
Source: Standard formula; no single publisher.
The speedometer
With a new size
- Factor
- the true speed ÷ the dial speed
- New diameter
- the new size’s overall diameter
- Original diameter
- the original’s overall diameter
- True speed
- the speed over the road
- Dial speed
- what the speedometer shows
It assumes the speedometer was right on the original size. A taller tire makes the factor above 1, and the dial reads low; a shorter one, below 1, and it reads high.
Source: Discount Tire: a taller tire gives a reading that “displays slower than your actual speed”, a shorter one a faster speed [10]. The factor is the ratio of the two diameters, as the dial counts wheel turns.
A dial that was already off
With My speedometer was already off
- GPS
- a GPS or radar speed, on the original size
- Dial
- what the dial showed at that moment
The dial’s own error on the original size carries over, so the table starts from your speedometer rather than a perfect one. It is not applied to the distance factor.
Source: CalcTrail’s own correction from your two readings; no single publisher.
The odometer and fuel economy
With a new size
- True distance
- the distance over the road
- Distance shown
- the odometer’s or trip meter’s figure
Miles per gallon or km per liter worked from the trip meter take the same factor; L/100 km is divided by it. It assumes the odometer was right on the original size.
Source: Standard formula; no single publisher.
The axle height
With a new size
- Axle height change
- how much higher the axle rides, or lower
- New diameter
- the new size’s overall diameter
- Original diameter
- the original’s overall diameter
The axle sits half the tire’s diameter above the road, so it moves half the change, and the top of the tire moves the same toward the fender. A suspension lift is separate.
Source: Standard geometry, the radius as half the diameter; no single publisher.
Worn tires
With Worn tires
- Worn diameter
- the New size’s diameter, worn
- Tread new
- the tread depth when new
- Tread now
- the tread depth left
An estimate for the New size, skipped when it has a measured diameter, which already holds the wear. Tread in 32nds of an inch or in mm.
Source: No single publisher states it; it follows from tread depth, measured on each side of the tire. NHTSA gives 2/32 of an inch as the depth to replace a tire at [15].
Measured diameters
A diameter you measure replaces the worked-out one for the diameter, the circumference, the revolutions and the speedometer. The width and the sidewall stay the size code’s.
Source: Michelin’s size figures are “average design values”, and a tire “may vary from this value by +/-3% of the section height” [5].
The band
The change in overall diameter is read against the band you set, 3% unless you change it, and the band is named beside every inside or outside. It is a guideline, not a limit.
Source: Les Schwab: “within 3 percent of the diameter (height) measurement of the tires originally on your vehicle” [11]. No tire maker or standards body sets a figure.
Sizes near a diameter
Widths 145 to 355 mm in steps of 10 and aspect ratios 25 to 85 in steps of 5, on the rim you choose, worked out with the formula above and listed nearest first, at most 12. They are not a list of sizes on sale.
Source: The diameter formula of AIS-044 (Part 2) [2].
Load index and speed symbol
Load index 70 to 130 in kilograms, with pounds converted from them and rounded, so a maker’s table may print a pound less. Speed symbols L to Y, H between U and V; Z and (Y) are above 240 and 300 km/h. A light-truck pair is the load for single and dual wheels. A new tire lower on either is flagged.
Source: Kilograms: AIS-044 (Part 2) Annexure B for 70 to 120 [2] and Kleber’s table for 121 to 130 [12]; pounds with NIST’s exact pound [4]. Speeds: AIS-044 clause 2.29 [2], in mph as Michelin’s chart prints them [13]. Single and dual: Yokohama [14]. Michelin: never less load-carrying capacity than the original [13]; NHTSA: the original size or another the vehicle maker lists [15].
Sources
- Michelin North America. Tire Markings Explained: How to Read a Tire, the tire size: section width, aspect ratio, construction and wheel diameter; prefixes. Updated October 7, 2026; read October 16, 2026.
- Automotive Industry Standards Committee, Government of India (ARAI). AIS-044 (Part 2): Automotive Vehicles - Pneumatic Tyres for Passenger Car Vehicles, clauses 2.29 and 6.1.2.2; Annexures A, B and C. With Amendments 1 and 2; read October 16, 2026.Our automated tests check this calculator against 70 cases from it.
- Bridgestone Americas Tire Operations. Tire Terminology, high flotation sizing system; P-metric and LT-metric; plus 1 and plus 2; revolutions per mile. No page date; read October 16, 2026.
- National Institute of Standards and Technology. NIST Guide to the SI, Appendix B.9: Factors for units listed by kind of quantity or field of science, length, the inch and the mile; mass, the pound. Special Publication 811.
- Michelin North America. MICHELIN Defender2: size specifications, the size table and the notes under it. Size data dated October 10, 2026; read October 16, 2026.Our automated tests check this calculator against 4 cases from it.
- BFGoodrich Tires (Michelin North America). BFGoodrich Mud-Terrain T/A KM3: size specifications, the size table: overall diameter, section width, revolutions per mile and per km. Read October 16, 2026.Our automated tests check this calculator against 3 cases from it.
- BFGoodrich Tires (Michelin North America). BFGoodrich All-Terrain T/A KO2: size specifications, the size table: overall diameter, section width, revolutions per mile and per km. Read October 16, 2026.Our automated tests check this calculator against 1 case from it.
- Bridgestone Americas Tire Operations. Bridgestone Dueler H/T 685: size specifications, the size table: overall diameter, revolutions per mile and per km. Read October 16, 2026.Our automated tests check this calculator against 2 cases from it.
- Bridgestone Americas Tire Operations. Bridgestone Turanza T005: size specifications, the size table: overall diameter, revolutions per mile and per km. Read October 16, 2026.Our automated tests check this calculator against 1 case from it.
- Discount Tire. Tire Size and Speedometer Accuracy, up-sizing and downsizing; recalibration. No page date; read October 16, 2026.Our automated tests check this calculator against 2 cases from it.
- Les Schwab Tire Centers. Tire Size Calculator: What Size Tires Should You Get?, the 3 percent general rule. Published December 20, 2022; read October 16, 2026.
- Kleber (Michelin group). Load ratings, the load index table (kg). No page date; read October 16, 2026.Our automated tests check this calculator against 10 cases from it.
- Michelin North America. Changing Tire Size or Specifications, the speed rating chart; the size, load capacity and speed rating answers. Updated June 8, 2026; read October 16, 2026.Our automated tests check this calculator against 14 cases from it.
- Yokohama Tire Corporation. How to Read a Sidewall: Sizing Information, service descriptions; light-truck single and dual load indices. No page date; read October 16, 2026.Our automated tests check this calculator against 2 cases from it.
- National Highway Traffic Safety Administration. Tires, tire size; tire tread. Read October 16, 2026.
What this calculator does not cover
- It works from the size code, or the diameter you measure; it has no table of real tires and does not say whether a size is made.
- It does not check clearance at the fenders, suspension or brakes, rim width, wheel offset or the sizes the vehicle maker lists.
- It does not check the vehicle’s load against the tire’s, or the lower load a tire carries above 210 km/h.
- It does not read numeric light-truck sizes such as 7.50R16, which carry no aspect ratio, millimeter rims or bicycle sizes.
- It says nothing on local rules or inspections, ABS, traction and stability control, or how to recalibrate a speedometer.
Sources checked on .