CM to Inches Converter

How to convert centimeters to inches

Converting centimeters to inches is a single multiplication. The formula is cm × 0.393701 = inches, which means one centimeter equals 0.393701 in. Going the other way, one inch equals 2.5399986 cm.

The calculator above applies this automatically as you type, but it is worth knowing the arithmetic if you need to sanity-check a figure or work one out without a device to hand.

Worked examples

7 cm to in: multiply 7 by 0.393701, which gives 2.755907 in.

45 cm to in: multiply 45 by 0.393701, which gives 17.716545 in.

250 cm to in: multiply 250 by 0.393701, which gives 98.42525 in.

CM to Inches conversion table

The values below are calculated with the same function as the converter above, so they agree to the digit. Use it as a quick reference when you need a rough figure without typing anything.

What is a centimeter?

A centimeter is one hundredth of a meter, the SI base unit of length. Since 1983 the meter has been defined as the distance light travels in a vacuum in 1/299,792,458 of a second, so a centimeter is an exact fraction of that definition rather than a physical artifact.

Where the centimeter came from

The centimeter arrived with the metric system created in revolutionary France in the 1790s, which set out to replace a tangle of regional units with one decimal system. It was central to the CGS (centimeter-gram-second) system that dominated science through the 19th century before SI standardised on the meter.

Where centimeters are used today

It is the everyday metric unit for anything you could hold or stand next to: body height, clothing and furniture dimensions, paper sizes, rainfall. Most of the world quotes a person's height in centimeters, which is why height conversion is one of the most common reasons anyone reaches for this particular calculation.

• A standard pencil is about 19 cm long
• A credit card is 8.56 cm wide
• A door is roughly 200 cm tall

What is a inch?

An inch is defined as exactly 2.54 centimeters. That exact figure is not an approximation but a definition, agreed internationally in 1959, which is why inch conversions can be stated precisely rather than rounded.

Where the inch came from

The inch descends from the Roman uncia, a twelfth part, which is also the root of the word ounce. For centuries it was defined by body parts and barleycorns, with values differing between countries, until the 1959 international yard and pound agreement fixed one common value.

Where inches are used today

Inches remain standard in the United States for construction, carpentry, and body measurements. Globally they survive in specific niches regardless of local system: screen sizes, wheel and tire diameters, plumbing pipe, and print media are quoted in inches almost everywhere.

• A US quarter is about 1 inch across
• A standard paperclip is roughly 1.4 inches
• A sheet of US Letter paper is 8.5 inches wide

When you actually need this conversion

centimeters belong to the metric (si) system and inches to the imperial / us customary system, so this conversion turns up whenever information crosses between countries that measure differently.

Accuracy, precision, and rounding

The factor used here (cm × 0.393701 = inches) is derived from an internationally agreed exact definition, so the conversion itself is not an approximation. The results above are shown to about eight significant figures, which is more precision than almost any practical use requires.

The sensible rule is to round the answer to roughly the same precision as the number you started with. If you measured to the nearest centimeter, an answer carrying six decimal places is not more accurate, it just looks more accurate. For most everyday purposes one or two decimal places is plenty.

Common mistakes to avoid

Converting in the wrong direction

Multiplying when you should divide is by far the most common error, and it is easy to miss because the result is still a number in a believable range. A quick check: since one centimeter is 0.393701 in, a centimeter value should get smaller when converted.

Using a rounded factor for a long calculation

Rounding the conversion factor before multiplying, then repeating that across many values, compounds the error. Convert with the full factor and round only the final answer.

Converting centimeters to inches in a spreadsheet or in code

A one-off answer is what the calculator above is for. When you have a whole column of figures, or you are writing something that has to do the conversion repeatedly, it is worth putting the formula in the tool you are already working in.

Excel and Google Sheets

With your centimeter value in cell A1, put this in B1 and fill it down the column:

=A1 * 0.393701

Excel also ships a built-in CONVERT function that handles many unit pairs directly, but it does not cover every unit and its unit codes are easy to mistype. An explicit formula like the one above is harder to get wrong and shows its working.

Python

def cm_to_in(value):
    return value * 0.393701

print(cm_to_in(10))

JavaScript

const cmToIn = (value) => value * 0.393701;

console.log(cmToIn(10));

Store the factor as a named constant rather than typing 0.393701 at each call site. When a figure appears in three places it will eventually be updated in two of them.

The two measurement systems behind this conversion

This conversion sits on the fault line between the two measurement systems still in everyday use. The metric system was designed in one go in the 1790s as a coherent decimal scheme, where every unit relates to the next by a power of ten. The imperial and US customary systems grew instead by accretion over centuries, which is why their relationships are numbers like 12, 16, 5,280, and 43,560 rather than round ones.

Only three countries have not formally adopted the metric system: the United States, Liberia, and Myanmar. In practice the picture is messier than that, since the US uses metric units throughout science, medicine, and the military, while metric countries still buy screens and tires by the inch. That overlap is exactly why conversions like this one stay necessary.

More questions about centimeters and inches

Is the conversion exact or approximate?

The underlying definition is exact, and the factor shown here (0.393701) is that definition expressed to the precision this page displays. For any everyday purpose the result is exact; only at very high precision would you need more digits of the factor.

Why does the answer have so many decimal places?

The converter shows a high-precision result so that it is never the limiting factor in your calculation. It is up to you to round to something sensible. A measurement taken with a tape measure does not become more accurate because the conversion carried six decimals.

Can I convert in the opposite direction on this page?

Yes. The swap button in the calculator reverses the conversion and carries the current result across as the new input, so you do not have to navigate anywhere or retype anything. The second table above also lists the reverse conversion directly.

Does anything get sent to a server?

No. The arithmetic runs in your browser with a few lines of JavaScript. Nothing you type is uploaded, logged, or stored, which also means the converter keeps working if your connection drops after the page has loaded.

Which figure should I use on an official form?

Use whatever precision the form asks for, and if it does not say, match the precision of the original measurement. For height, weight, and similar personal details, one decimal place is almost always sufficient and often more than is wanted.

Related length conversions

If you need to go the other way as a starting point rather than as a swap, the Inches to CM converter is the mirror of this page: same factor, same tables, opposite direction. It is the more natural place to start when most of your figures are already in inches.

Length conversions rarely arrive alone. A set of dimensions usually mixes scales, so these cover the neighbouring pairs you are likely to need in the same sitting:

• MM to Inches - Convert millimeters to inches quickly and accurately. Ideal for engineering, woodworking, and crafts.
• Meters to Feet - Convert meters to feet instantly. Useful for height, room dimensions, and construction measurements.
• KM to Miles - Convert kilometers to miles instantly. Great for travel distances, running routes, and road trips.
• CM to Feet - Convert centimeters to feet in one click. Perfect for converting height measurements.
• Inches to Feet - Convert inches to feet quickly. Useful for construction, interior design, and measurements.
• Meters to Yards - Convert meters to yards instantly. Commonly used in sports fields, fabric, and landscaping.

For anything not listed here, the full converter directory covers over a hundred pairs across length, weight, temperature, volume, area, speed, pressure, energy, and more.

Quick reference

Why Use Our CM to Inches Converter?

Frequently Asked Questions