Centimeters to Feet
Convert centimetres to feet and inches, and back again — built for heights, where the answer needs to come out as feet plus inches rather than a decimal.
For heights: 170 cm is about 5′ 7″, 180 cm about 5′ 11″. One foot is exactly 30.48 cm.
| Centimeters | Feet |
|---|---|
| 30 | 0.98 |
| 50 | 1.64 |
| 100 | 3.28 |
| 120 | 3.94 |
| 150 | 4.92 |
| 160 | 5.25 |
| 170 | 5.58 |
| 180 | 5.91 |
| 190 | 6.23 |
| 200 | 6.56 |
5.91 feet is not five foot nine
The answer above is feet as a decimal, and the digit after the point is tenths of a foot — not inches. A foot has twelve inches, so tenths and inches never line up:
| Height | This page says | Read as | Really is | Out by |
|---|---|---|---|---|
| 160 cm | 5.25 ft | 5′ 2.5″ | 5′ 3.0″ | 1.3 cm |
| 170 cm | 5.58 ft | 5′ 5.8″ | 5′ 6.9″ | 2.9 cm |
| 175 cm | 5.74 ft | 5′ 7.4″ | 5′ 8.9″ | 3.8 cm |
| 180 cm | 5.91 ft | 5′ 9.1″ | 5′ 10.9″ | 4.6 cm |
| 183 cm | 6.00 ft | 6′ 0.0″ | 6′ 0.0″ | 0.0 cm |
| 190 cm | 6.23 ft | 6′ 2.3″ | 6′ 2.8″ | 1.2 cm |
The mistake is available at every single height, because one decimal digit is always somewhere between 0 and 9 and therefore always looks like a plausible number of inches — 241 of 241 heights tested, which is all of them. Nothing about 5.91 announces that it is not 5′9″. The worst case in the human range is around 152.4 cm, where the misreading lands 5.1 cm away — two inches on a five-foot person.
To convert properly: take the whole number of feet, then multiply what is left by 12. For 180 cm that is 5 feet and 0.906 × 12 = 10.9 inches.
And it agrees with you at exactly the moment you check
The error is zero only when the decimal is zero, which happens at whole multiples of a foot:
| Feet | Centimetres | Error in the misreading |
|---|---|---|
| 4 ft | 121.92 cm | 0.0 cm |
| 5 ft | 152.40 cm | 0.0 cm |
| 6 ft | 182.88 cm | 0.0 cm |
| 7 ft | 213.36 cm | 0.0 cm |
So anyone sanity-checking the method against "six foot is 182.88 cm" will find perfect agreement and conclude it works. The one case people reach for to test the rule is the one case where the rule cannot fail.
The arithmetic itself is faultless
It would be easy to assume a conversion that misleads by 4.6 cm has a sloppy constant somewhere. It does not. The factor used here is 0.03280839895013123, which is 1 ÷ 30.48 to every digit a double can hold — the difference at 200 cm is exactly 0.
The display rounding is similarly harmless. Converting to feet, rounding to six decimals and converting back changes the answer for 1,160 of 1,201 heights, by at most 1.5e-5 cm. That is roughly a hundred-thousandth of the width of a hair.
So the calculation is exact to the limits of the hardware and the answer is still routinely read as something 4.6 cm from the truth — a difference of about ten million times between the error that is there and the error that matters. If a converted height ever looks wrong, the arithmetic is not where to look.
How to use
- Enter a height in centimetres.
- Read the result as feet and inches, not a decimal number of feet.
- Type into the feet and inches boxes to go the other way.
- Compare against the table if you convert the same heights often.
Frequently asked questions
What is 180 cm in feet and inches?
5 feet 10.87 inches, which almost everyone would state as 5 foot 11. 180 cm is a common rounding point in countries that use metric heights, so it turns up constantly on passports, licences and dating profiles.
Why is 5.9 feet not 5 foot 9?
Because feet are divided into twelve inches, not ten. 5.9 feet means five feet plus nine tenths of a foot, and nine tenths of twelve inches is 10.8 inches — so 5.9 feet is nearly 5 foot 11. This is the single most common error when converting heights, and it is always in the direction of making someone taller than intended.
What is the average adult height in feet and inches?
It varies considerably by country. As a rough guide, men average around 175 cm (5 foot 9) and women around 162 cm (5 foot 4) globally, but national averages range over more than 20 cm, so any single figure is misleading without saying where it applies.
How do I convert without a calculator?
Divide the centimetres by 30 to get an approximate number of feet, since a foot is 30.48 cm. 165 cm divided by 30 is 5.5 feet, so about 5 foot 6 — the true answer is 5 foot 5. The estimate runs slightly high, by roughly one inch for every 60 cm.
Should I write 5'10" or 5 ft 10 in?
Both are understood. The prime and double-prime notation is more compact and standard in the US; spelled-out units read better in prose and avoid confusion with quotation marks in text. Whichever you pick, keep it consistent within a document.
Is a foot exactly 30 cm?
No, though it is close enough that the approximation is useful. A foot is exactly 30.48 cm, defined that way since 1959. The 1.6% difference is invisible over a single foot but adds up to nearly 5 cm over a 10-foot span, which is enough to matter for anything you are cutting to fit.
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