CM to Inches: Formula, Chart and Common Conversions
One centimeter equals exactly 0.393700787 inches β or put the other way, one inch equals exactly 2.54 centimeters. That single definition, fixed by international agreement in 1959, is all you need. Everything else β formulas, charts, mental shortcuts β follows from it. This guide gives you the exact conversion formula, a ready-to-use reference chart covering common heights and object sizes, and a fast mental-math method you can use without a calculator.
The Exact Formula
The conversion is exact, not approximate:
inches = centimeters Γ· 2.54
Or equivalently: inches = centimeters Γ 0.393701
The division form is more precise because 2.54 is the defined value. The multiplication form is slightly rounded but fine for everyday use.
Worked example β converting 30 cm:
- Divide: 30 Γ· 2.54 = 11.811 inches
- Or multiply: 30 Γ 0.393701 = 11.811 inches
Worked example β converting 170 cm (a common adult height):
- 170 Γ· 2.54 = 66.929 inches
- 66.929 Γ· 12 = 5 feet 6.929 inches β roughly 5 ft 7 in
To convert the decimal inch remainder to whole inches, just multiply the fractional part by 12 if you want feet and inches. Most practical situations only need one decimal place.
Height Conversion Chart: CM to Feet and Inches
This table covers the range most people need for human heights. All values are rounded to the nearest quarter-inch.
| Centimeters | Decimal Inches | Feet & Inches |
|---|---|---|
| 150 cm | 59.1 in | 4 ft 11 in |
| 155 cm | 61.0 in | 5 ft 1 in |
| 160 cm | 63.0 in | 5 ft 3 in |
| 163 cm | 64.2 in | 5 ft 4 in |
| 165 cm | 65.0 in | 5 ft 5 in |
| 168 cm | 66.1 in | 5 ft 6 in |
| 170 cm | 66.9 in | 5 ft 7 in |
| 173 cm | 68.1 in | 5 ft 8 in |
| 175 cm | 68.9 in | 5 ft 9 in |
| 178 cm | 70.1 in | 5 ft 10 in |
| 180 cm | 70.9 in | 5 ft 11 in |
| 183 cm | 72.0 in | 6 ft 0 in |
| 185 cm | 72.8 in | 6 ft 1 in |
| 190 cm | 74.8 in | 6 ft 3 in |
A quick landmark to memorize: 183 cm = exactly 6 feet. Once you know that anchor, estimating nearby values becomes easy.
Common Object Size Conversions
Heights are only one use case. Here are frequently looked-up object sizes:
| Object / Context | Centimeters | Inches |
|---|---|---|
| Standard A4 paper (long side) | 29.7 cm | 11.7 in |
| Standard A4 paper (short side) | 21.0 cm | 8.27 in |
| US Letter paper (long side) | 27.9 cm | 11.0 in |
| Typical smartphone screen | 15β17 cm | 6β6.7 in |
| Ruler (standard) | 30 cm | 11.8 in |
| Men's shoe size 10 (US) foot length | ~28 cm | ~11 in |
| Standard TV diagonal (55-inch) | 139.7 cm | 55.0 in |
| Credit card width | 8.56 cm | 3.37 in |
Mental Math Trick: The 40% Rule
When you need a quick estimate without a calculator, use this:
Inches β centimeters Γ 0.4
One centimeter is just under 0.4 inches (it is actually 0.3937), so multiplying by 0.4 overshoots by about 1.6%. For most everyday estimates β furniture dimensions, clothing sizes, room measurements β that error is irrelevant.
Example: You want to know if a 90 cm shelf fits a 36-inch gap.
- Exact: 90 Γ· 2.54 = 35.43 inches β it fits with half an inch to spare.
- Mental math: 90 Γ 0.4 = 36 inches β close enough to know you need to measure carefully.
The trick also works in reverse. To convert inches to cm mentally, multiply by 2.5 instead of 2.54 β about 2% low, again good enough for estimates.
Example: A 72-inch door in centimeters β 72 Γ 2.5 = 180 cm (exact is 182.9 cm). You'd know the door is roughly 183 cm tall.
Centimeters vs. Inches: When Each System Shows Up
Knowing which system to expect saves conversion headaches before they start:
- Centimeters dominate in medicine (patient height and weight), science, engineering, most international clothing sizing, furniture sold outside the US, and any country using the metric system.
- Inches dominate in US construction and real estate, American clothing and shoe sizing, screen diagonal measurements worldwide (even in metric countries), tire width, and plumbing pipe diameters in North America.
- Mixed situations: A 55-inch TV is sold in every metric country with that inch label. A US passport lists height in feet and inches; most other passports use centimeters. Medical equipment in the US often dual-labels.
The practical upshot: if you are buying furniture, clothes, or electronics internationally, you will convert between the two systems regularly. Bookmarking a reliable converter eliminates the arithmetic entirely.
Precision Notes and Rounding
The defined value is 1 inch = 2.54 cm, exactly β no rounding, no approximation. This is a legal definition adopted by the US, UK, Canada, Australia, and most other countries in 1959 under the International Yard and Pound Agreement.
In practice, how many decimal places you need depends on the context:
- Construction and woodworking: round to the nearest 1/16 inch or 1 mm.
- Body height: one decimal inch (e.g., 5 ft 10.6 in) is plenty.
- Medical or scientific measurement: use the full calculator output and note your instrument's actual precision.
- Clothing: whole inches or whole centimeters are standard on size charts.
The conversion tool on this page does the arithmetic to full floating-point precision. Copy the result and round to whatever level your task demands.
Frequently asked questions
How many inches is 1 centimeter?+
Exactly 0.393700787 inches. For quick estimates, use 0.394 or simply 0.4. The defined relationship is 1 inch = 2.54 cm, so 1 cm = 1 Γ· 2.54.
What is 5 feet 10 inches in centimeters?+
5 ft 10 in equals 70 inches total. Multiply by 2.54: 70 Γ 2.54 = 177.8 cm. This is one of the most common height conversions and rounds neatly to 178 cm.
What is 100 cm in inches?+
100 Γ· 2.54 = 39.37 inches. That is just under 3 feet 3.4 inches, or roughly 1 meter (since 1 meter = 100 cm = 39.37 in).
Is the CM to inches conversion the same worldwide?+
Yes. The international inch has been defined as exactly 2.54 cm since 1959, and this definition applies universally in all countries that have adopted the international yard and pound standard.
How do I convert centimeters to feet and inches (not just inches)?+
First divide by 2.54 to get total inches. Then divide that result by 12 β the whole-number part is feet, and the remainder (multiply the decimal by 12) is the remaining inches. Example: 175 cm Γ· 2.54 = 68.898 in β 68 Γ· 12 = 5 ft with 8.898 in remaining, so 5 ft 8.9 in.