Height cm to Feet Converter & Formula

This calculator converts a height given in centimeters to feet and inches, and also shows the result in decimal feet. Enter the height in centimeters, and you get the equivalent in feet and inches, plus the value in decimal feet for quick reference.

Formula

To convert centimeters to feet, use the conversion factor: 1 foot = 30.48 centimeters. The basic formula is:

Feet = Centimeters ÷ 30.48

For the feet-and-inches format, separate the whole number of feet from the remainder:

• Total inches = Centimeters ÷ 2.54 (since 1 inch = 2.54 cm)
• Whole feet = floor(Total inches ÷ 12)
• Remaining inches = Total inches mod 12

For example, a height of 175 cm is first converted to inches: 175 ÷ 2.54 = 68.9 inches. Dividing by 12 gives 5 feet with a remainder of 8.9 inches, so the result is 5 ft 8.9 in (often rounded to 5 ft 9 in).

Worked Example

Using the default value of 175 cm:

1. Convert to inches: 175 ÷ 2.54 = 68.8976 inches
2. Divide by 12 to get feet: 68.8976 ÷ 12 = 5.7415 feet
3. Whole feet = 5, remainder = 0.7415 × 12 = 8.898 inches
4. Result: 5 ft 8.9 in (or 5.74 ft)

The calculator rounds the inches to the nearest whole number, giving 5 ft 9 in, which matches the output above.

Why Convert Height to Feet?

Centimeters are the standard unit for height in most of the world, but feet and inches are still widely used in the United States, the UK (for some measurements), and a few other places. If you are filling out a form, creating a profile, or comparing heights with someone who uses imperial units, you need a quick conversion. This is also common in sports, where athlete heights are listed in feet and inches in international media, and in medical records when a patient is used to one system or the other.

There is also a practical reason: many people have a better mental image of their height in feet and inches because they grew up with that system. For example, saying “I’m 5’9”” is more intuitive to a US audience than “I’m 175 cm.”

How to Read the Result

The calculator gives two outputs:

• Feet and inches: This is the conventional way to state height in imperial units. The number of feet is the whole part, and the inches are the remainder. For instance, 5 ft 9 in means 5 whole feet plus 9 inches.
• Decimal feet: This is the total height expressed as a single number of feet, such as 5.74 ft. It is useful for calculations (e.g., converting to meters for area or volume) but rarely used for stating a person’s height.

Note that the inches are rounded to the nearest whole number. If you need precision, use the decimal feet value, which is rounded to two decimal places.

Common Mistakes and Misconceptions

One common mistake is using the wrong conversion factor. Some people remember that 1 inch = 2.54 cm, but then multiply instead of dividing. Always divide centimeters by 2.54 to get inches, and divide by 30.48 to get feet.

Another issue is rounding too early. If you round the inches to a whole number before converting to feet, you can get an error of several inches. For example, 170 cm is 66.93 inches, which is exactly 5 ft 6.93 in. Rounding to 67 inches gives 5 ft 7 in, which is correct, but rounding to 66 inches gives 5 ft 6 in – an error of almost an inch. Always keep the decimal until the end.

A common misconception is that 1 foot equals 30 cm (a rounded approximation). While that is close, the exact value is 30.48 cm. Over a height of 6 feet, the difference is about 2.9 cm (roughly 1.1 inches), which is significant when measuring a person.

Limitations and Precision

This conversion is exact by definition: 1 inch is exactly 2.54 cm, and 1 foot is exactly 12 inches. So the only source of error is rounding. The calculator rounds inches to the nearest whole number, which is fine for everyday use, but for scientific or medical purposes you may want more precision. In those cases, use the decimal feet value (two decimals) or convert directly to meters (1 m = 100 cm).

Also note that heights are typically measured to the nearest centimeter in most countries, so a conversion to feet and inches will have an inherent uncertainty of about ±0.4 inches. That is acceptable for most purposes.

Alternatives and Related Conversions

If you need to convert the other way (feet and inches to cm), the formula is: cm = (feet × 12 + inches) × 2.54. For example, 5 ft 9 in = (5×12 + 9) × 2.54 = 69 × 2.54 = 175.26 cm.

You can also convert centimeters to meters by dividing by 100, or to millimeters by multiplying by 10. For quick mental estimates, remember that 1 cm is about 0.39 inches, and 1 inch is about 2.5 cm. But for exact conversions, use the calculator or the exact factors above.

Frequently Asked Questions

How many cm is 5 feet 10 inches?
5 ft 10 in = (5×12 + 10) = 70 inches. Multiply by 2.54: 70 × 2.54 = 177.8 cm. So 5’10” is 177.8 cm.

Is 180 cm equal to 6 feet?
180 cm ÷ 30.48 = 5.9055 ft, which is 5 ft 10.87 in. It is not quite 6 feet; 6 feet is exactly 182.88 cm. So 180 cm is about 5’11”.

Why do some countries use cm and others use feet?
The metric system (centimeters) is the international standard, used in most countries. The imperial system (feet/inches) is still used in the United States, and partially in the UK and Canada for certain measurements. This is due to historical adoption and cultural inertia.

What is the formula to convert cm to feet and inches?
First divide cm by 2.54 to get total inches. Then divide total inches by 12; the quotient is the feet, and the remainder is the inches. For example, 175 cm ÷ 2.54 = 68.9 in; 68.9 ÷ 12 = 5 ft with remainder 8.9 in.

How do I convert my height from cm to feet without a calculator?
Use the approximation: 1 cm ≈ 0.3937 inches. Multiply cm by 0.3937 to get inches, then divide by 12 to get feet. For a quick mental estimate, remember that 30 cm is about 1 foot, so 180 cm is about 6 feet (actually 5’11”).

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in cm | Height in cm | cm | 175 | 0
out ft_in | Feet and inches | ft in | floor(cm / 30.48) + " ft " + round((cm / 2.54) % 12) + " in" | 0
out ft_dec | Decimal feet | ft | cm / 30.48 | 2