Height Calculator cm to Feet: How to Convert
The calculator for this page is switched off while it is checked. The formula is below, and the worked example in the article shows how to use it by hand.
This height calculator converts centimeters to feet and inches, giving you the result in both formats. You enter your height in centimeters, and you get back the equivalent in feet and inches, plus the decimal feet value. The conversion is based on the exact relationship that 1 inch equals 2.54 cm, so the result is precise to the decimal place you choose.
Formula
The conversion uses two basic relationships:
- 1 inch = 2.54 centimeters (exact, by definition)
- 1 foot = 12 inches = 30.48 centimeters
To convert centimeters to feet and inches:
- First, find the total number of inches: total inches = cm ÷ 2.54
- Then, divide total inches by 12 to get the number of whole feet: feet = floor(total inches ÷ 12)
- The remainder is the inches part: inches = total inches − (feet × 12)
For decimal feet, simply divide centimeters by 30.48: feet = cm ÷ 30.48
Worked Example
Using the default value of 170 cm from the calculator:
- Total inches = 170 ÷ 2.54 = 66.9291 inches
- Feet = floor(66.9291 ÷ 12) = floor(5.5774) = 5 feet
- Remaining inches = 66.9291 − (5 × 12) = 66.9291 − 60 = 6.9291 inches
- Rounded to one decimal: 6.9 inches
So 170 cm = 5 ft 6.9 in (or about 5′ 7″). The decimal feet value is 170 ÷ 30.48 = 5.58 ft.
Why Use Centimeters and Feet?
Centimeters are the standard unit for height in most of the world, used in medical records, sports, and everyday life in countries that follow the metric system. Feet and inches remain common in the United States, the UK (for personal height), and a few other places. If you travel, fill out a form, or compare your height with someone from another country, you often need to switch between these units.
The conversion is exact because the inch is defined as exactly 2.54 cm. There is no rounding involved in the relationship itself – only in how you display the result. This makes the cm-to-feet conversion one of the most reliable unit conversions you can do.
How to Read the Result
The calculator gives you three numbers:
- Feet and inches – the most common way to state height in the US and UK (e.g., 5′ 6.9″).
- Decimal feet – useful for engineering, construction, or when you need a single number (e.g., 5.58 ft).
- Total inches – sometimes used for medical or fitness measurements (e.g., 66.9 in).
When you see a height like “5′ 7″”, it means 5 feet plus 7 inches. The calculator rounds the inches to one decimal place, so you might see 6.9″ instead of 7″. If you want the nearest whole inch, round the inches value yourself: 6.9 rounds to 7.
Common Mistakes and Misconceptions
One common mistake is mixing up feet and inches in the result. For example, 5.5 ft is not the same as 5 ft 5 in. 5.5 ft equals 5 ft 6 in because 0.5 ft is half a foot, which is 6 inches. Always pay attention to whether the number is in decimal feet or feet-and-inches.
Another mistake is using the wrong conversion factor. Some people incorrectly use 1 inch = 2.5 cm for quick mental math, which is close but not exact. For a 170 cm person, that would give 68 inches (5 ft 8 in) instead of the correct 66.9 inches (5 ft 6.9 in) – a difference of over an inch. For precise measurements, always use 2.54.
Also, remember that the conversion factor 30.48 cm per foot is exact, but if you round it to 30 cm, you’ll be off by about 1.6% – that’s about 2.7 cm for a 170 cm person.
When to Use This Calculator
Use this calculator whenever you need to:
- Fill out a form that asks for height in feet and inches (e.g., for US-based medical or fitness records).
- Compare your height with someone who uses the imperial system.
- Convert height for clothing sizes, bike frame sizing, or ergonomic furniture.
- Check if you meet a minimum height requirement stated in feet.
For most everyday purposes, rounding to the nearest inch is sufficient. For medical or scientific contexts, keep the decimal inches or use centimeters directly.
Limits of the Formula
The formula is mathematically exact, but the result depends on the input. If you enter a height that isn’t a whole number of centimeters, the calculator still works, but the output will have more decimal places. The calculator rounds the inches to one decimal, which is fine for human heights (which are typically measured to the nearest centimeter or half-centimeter).
For extremely large or small values, the conversion remains valid because it’s a linear relationship. There’s no “range” where the formula breaks down. However, if you’re converting something like a building height in centimeters to feet, you might prefer decimal feet for simplicity.
Frequently Asked Questions
How many cm is 5 feet 10 inches?
First convert feet to inches: 5 ft = 60 in, plus 10 in = 70 total inches. Then multiply by 2.54: 70 × 2.54 = 177.8 cm. So 5′10″ is exactly 177.8 cm.
Is 180 cm equal to 5 feet 11 inches?
180 cm ÷ 2.54 = 70.866 inches. Divide by 12: 5 feet with a remainder of 10.866 inches. So 180 cm is 5 ft 10.9 in, which rounds to about 5′11″. It’s very close, but not exactly 5′11″ (which is 175.26 cm).
Why do some countries use feet and inches instead of centimeters?
The imperial system (feet and inches) has historical roots in the UK and was adopted by the US and a few other countries. While most of the world uses the metric system, the US still uses imperial for everyday measurements like height. The UK uses a mix – metric for most things, but feet and inches for personal height.
What is the easiest way to convert cm to feet without a calculator?
A rough mental estimate: divide the cm by 30 to get approximate feet, then adjust. For example, 170 cm ÷ 30 ≈ 5.67 ft, which is about 5 ft 8 in (close to the actual 5 ft 6.9 in). For better accuracy, remember that 1 inch = 2.5 cm is a good approximation – so 170 cm ≈ 68 inches ≈ 5 ft 8 in. This is about an inch off from the exact value.
How do I convert my height from feet and inches to cm?
Multiply the feet by 12 to get total inches, add the remaining inches, then multiply by 2.54. For example, 5 ft 7 in: (5×12 + 7) = 67 in, 67 × 2.54 = 170.18 cm. So 5′7″ is about 170 cm.
Is there a difference between US and UK feet?
No. The foot is defined as exactly 0.3048 meters in both the US and the UK. The inch is exactly 2.54 cm in both systems. There is no difference in the conversion factor for height.
Related
Formula used
in cm | Height in cm | cm | 170 | 0 out ft_in | Height in ft & in | ft-in | floor(cm / 30.48) + " ft " + round(((cm / 2.54) % 12) * 10) / 10 + " in" | 1 out ft | Height in decimal feet | ft | cm / 30.48 | 2 out inches | Height in inches | in | cm / 2.54 | 1
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.