Crank Math

Wheel circumference from the tire size

Every bicycle tire carries a marking of two numbers, such as 28-622, defined by the standard ISO 5775 and still often called the ETRTO size. The first number is the width of the tire in millimeters. The second is the bead seat diameter of the rim it fits, also in millimeters. Unlike names such as twenty-six inch or seven hundred C, the marking is unambiguous.

The standard says the overall diameter of a tire is the rim diameter plus twice the height of the tire, and for most tires the height is about the same as the width. So wheel diameter = bead seat diameter + 2 × tire width, and circumference = π × diameter. Sheldon Brown's guide to calibrating bike computers gives the same sum.

It is an estimate. Tire makers do not all measure width the same way, a tire sits wider or narrower depending on the rim, and tread adds height. The same guide puts chart or formula values within one or two percent of the truth, and notes that a road tire carrying a rider rolls about one percent shorter than its unloaded size. That is the allowance the calculator lets you take off.

Published charts do not settle it either. Two computer makers' charts opened on the same day give figures more than twenty millimeters apart for the same common road tire, and one of them calls its own values advisory. Some chart rows equal the formula to the millimeter; others were measured on a particular tire.

For a setting you can rely on, both makers describe a roll-out test: mark the floor at the valve, roll the bike forward one full wheel turn and measure between the marks. One of them asks for the rider on the bike and the tires at riding pressure; the other takes a few millimeters off for the rider's weight.

Bike tire circumference chart: by tire width and rim size

Each cell is the wheel circumference from the formula for the tire width in millimeters in its row and the rim in its column, with no allowance for load.

Rim size
Tire width622 = 700C, 29 inch584 = 650B, 27.5 inch559 = 26 inch mountain bike406 = 20 inch, BMX and folding
20 mm2,080 mm1,960 mm1,882 mm1,401 mm
23 mm2,099 mm1,979 mm1,901 mm1,420 mm
25 mm2,111 mm1,992 mm1,913 mm1,433 mm
28 mm2,130 mm2,011 mm1,932 mm1,451 mm
30 mm2,143 mm2,023 mm1,945 mm1,464 mm
32 mm2,155 mm2,036 mm1,957 mm1,477 mm
35 mm2,174 mm2,055 mm1,976 mm1,495 mm
38 mm2,193 mm2,073 mm1,995 mm1,514 mm
40 mm2,205 mm2,086 mm2,007 mm1,527 mm
45 mm2,237 mm2,117 mm2,039 mm1,558 mm
50 mm2,268 mm2,149 mm2,070 mm1,590 mm
55 mm2,300 mm2,180 mm2,102 mm1,621 mm
60 mm2,331 mm2,212 mm2,133 mm1,652 mm
65 mm2,362 mm2,243 mm2,165 mm1,684 mm

Work out your own numbers: Bike wheel circumference calculator

Chart: wheel circumference on a road rim, by tire width and load allowance

Each cell is the circumference for the tire width in millimeters in its row with the allowance in its column taken off. Rim = 622 mm (700C).

Allowance for the loaded tire
Tire width0 %1 %2 %
23 mm2,099 mm2,078 mm2,057 mm
25 mm2,111 mm2,090 mm2,069 mm
28 mm2,130 mm2,109 mm2,087 mm
30 mm2,143 mm2,121 mm2,100 mm
32 mm2,155 mm2,134 mm2,112 mm
35 mm2,174 mm2,152 mm2,131 mm
40 mm2,205 mm2,183 mm2,161 mm
45 mm2,237 mm2,214 mm2,192 mm

Work out your own numbers: Bike wheel circumference calculator

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