CM to Feet Calculator: Formula and Examples
- Remaining inches
- in
- Result
- Length
- 170 cm
- You entered
A cm to feet calculator converts a length in centimetres into feet, usually showing the result as a decimal number of feet. Enter a centimetre measurement to get the equivalent length; the conversion uses the exact relationship between the metric and customary units.
Formula
One international foot is exactly 30.48 centimetres, so divide the centimetre value by 30.48 to convert it to feet:
feet = centimetres ÷ 30.48
- cm is the length entered, in centimetres.
- ft is the converted length, in decimal feet.
- in is the leftover length in inches after taking out the whole number of feet. There are exactly 12 inches in a foot, and 1 inch is exactly 2.54 centimetres.
The calculator rounds its displayed results to two decimal places. Its inches output is a convenient feet-and-inches interpretation: it uses the whole number of feet and reports the remainder as inches. The main answer is decimal feet.
Worked Example
Using the default input of 170 cm:
- Convert centimetres to feet: 170 ÷ 30.48 = 5.5774… ft, which rounds to 5.58 ft.
- Convert the length to inches: 170 ÷ 2.54 = 66.9291… in.
- Take out five whole feet, or 60 inches: 66.9291… − 60 = 6.9291… inches, which rounds to 6.93 in.
Therefore, 170 cm is 5.58 decimal feet, or about 5 ft 6.93 in. The displayed figures are rounded; the unrounded values are more precise.
How to Convert Centimetres to Feet
Centimetres and feet measure length, but they belong to different measurement systems. A centimetre is one hundredth of a metre. A foot is a customary unit divided into 12 inches. The exact conversion factor lets you move between the systems without estimating or looking up a conversion table.
For a manual conversion, divide the centimetre measurement by 30.48. For instance, 100 cm ÷ 30.48 is approximately 3.2808 ft. If you need feet and inches instead of decimal feet, first convert the entire length to inches by dividing by 2.54. Then divide by 12: the whole-number part is feet, and the remainder is inches.
For example, 180 cm is about 70.87 inches. That is 5 whole feet (60 inches) plus 10.87 inches, so it is approximately 5 ft 10.87 in. This is a different way of expressing the same length, not a second conversion.
Decimal Feet Versus Feet and Inches
A result such as 5.58 ft is written in decimal feet. The decimal part, 0.58 ft, is a fraction of a foot; it does not mean 58 inches. To express that fraction in inches, multiply it by 12: 0.58 × 12 = 6.96 inches. The slight difference from 6.93 inches in the example comes from rounding 5.5774… to 5.58 before calculating.
For the most reliable feet-and-inches result, calculate from the original centimetres or use the unrounded decimal feet, then round only at the end. A notation such as 5 ft 7 in means five feet plus seven inches, whereas 5.7 ft means 5.7 feet, or 5 feet 8.4 inches. The two formats are not interchangeable.
Choosing Precision and Using the Result
The appropriate number of decimal places depends on what the measurement is for. A rough comparison may need only a whole foot or inch, while a specification or calculation may call for more detail. Extra decimal places do not make an approximate original measurement more accurate; they only show the arithmetic result in finer increments.
- For a quick estimate, round the converted result to a sensible number of decimal places.
- For a feet-and-inches display, retain the fractional inches until the final rounding step.
- For calculations involving several lengths, keep unrounded values during the intermediate steps to reduce accumulated rounding differences.
- Check whether the receiving form or instruction expects decimal feet, inches, or feet-and-inches notation before entering a value.
Centimetres are commonly used for dimensions and personal measurements in metric contexts; feet and inches are common in customary-unit contexts. A conversion changes the unit, not the underlying measurement. It cannot make an imprecise measurement more exact, and it does not account for how an object was measured.
Common Conversion Mistakes and Limits
The most common error is multiplying by 30.48 instead of dividing. Multiplication by 30.48 converts feet to centimetres; dividing by 30.48 converts centimetres to feet. A quick reasonableness check helps: because one foot is much longer than one centimetre, a length expressed in feet should be a smaller number than the same length expressed in centimetres.
Another frequent mistake is confusing decimal feet with feet and inches. Convert the fractional part of decimal feet to inches by multiplying by 12; do not read the digits after the decimal point as inches. Also avoid rounding a centimetre input too early. If the original value is, for example, measured only to the nearest centimetre, the converted output should not be presented as though it were exact to many decimal places.
This conversion applies to lengths. It does not convert area or volume: converting square centimetres to square feet, for example, requires squaring the linear conversion factor. The calculator also assumes the input is a nonnegative length in centimetres; check the unit before entering a number taken from a source that might use millimetres or metres.
Frequently Asked Questions
How many feet are in one centimetre?
One centimetre is 1 ÷ 30.48 feet, or approximately 0.0328084 ft. Equivalently, it is about 0.393701 inches.
How do I convert 180 cm to feet and inches?
Divide 180 by 30.48 to get about 5.9055 ft. The whole feet are 5; converting the remaining fraction to inches gives about 10.87 inches. So 180 cm is approximately 5 ft 10.87 in.
Is 5.5 feet the same as 5 feet 5 inches?
No. The 0.5 in 5.5 ft is half a foot, which equals 6 inches. Thus 5.5 ft is 5 ft 6 in. Five feet 5 inches is 65 inches, or about 5.4167 ft.
Should I round the result?
Round to the precision appropriate for the task, and keep extra digits until the last step when converting to feet and inches. A rounded result is an approximation of the converted input, not a more precise measurement.
What is the difference between centimetres and inches?
Both measure length. One inch is exactly 2.54 cm, and one foot is exactly 12 inches, so one foot is exactly 30.48 cm.
Related
Formula used
in cm | Length | cm | 170 | 0 out ft | Length | ft | cm / 30.48 | 2 out inch | Remaining inches | in | (cm / 2.54) - (floor(cm / 30.48) * 12) | 2
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.