The formula
cm = in × 2.54
Where the factor comes from — each unit by its definition, then its size in SI:
1 in = 2.54 × cm = 0.0254 m1 cm = m / 100 = 0.01 m
Dividing the two SI sizes gives the factor: 2.54, exact — every step above is a definition, not a measurement. The reverse factor is 0.393700787402.
Every formula on this site takes lengths in metres. Heights, distances and stopping distances quoted in feet, inches or miles have to be converted first — getting it wrong by a factor of 3.28 is the most common unit slip in homework.
Worked examples
- A sprint track straight (100 m): 3,937.01 in = 10,000 cm — 3,937.01 × 2.54 = 10,000
- A marathon (42.195 km): 1,661,220 in = 4,219,500 cm — 1,661,220 × 2.54 = 4,219,500
- A tall doorway (6 ft): 72 in = 182.88 cm — 72 × 2.54 = 182.88
- A school ruler: 11.811 in = 30 cm — 11.811 × 2.54 = 30
Frequently asked questions
How many centimetres is 1 in?
1 in = 2.54 cm, exactly, from the unit definitions.
How do I convert centimetres back to inches?
Divide by 2.54 — or multiply by 0.393700787402: 1 cm = 0.393700787402 in.