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Centimetres to feet and inches: how to convert height properly

The exact arithmetic, the rounding mistake almost every conversion table repeats, and why “EU to UK height” isn’t really a question about countries.

Published 25 October 20266 min read
The short answer

One inch is exactly 2.54 cm, so one foot is 30.48 cm. To convert a height in centimetres, divide by 2.54 to get total inches, then divide that by 12 — the whole number is your feet, the remainder is your inches.

164 cm → 164 ÷ 2.54 = 64.57 inches → 64.57 ÷ 12 = 5 feet with 4.57 inches left over → 5 ft 4.6 in, or 5′5″ rounded.

Convert it here

164 cm = 5 ft 4.6 in
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Why this conversion catches people out

Most unit conversions are a single multiplication. Kilometres to miles, kilograms to pounds, Celsius to Fahrenheit — one number in, one number out. Height is different, and that is the whole difficulty.

The answer is two numbers, not one

A metric height is a single figure: 164 cm. The imperial equivalent is a pair — feet and inches — and you cannot read one off from the other by multiplying. You have to convert, then split the result into two parts.

Inches don't wrap at ten

There are twelve inches in a foot, not ten, so the second number rolls over at 12. This is why 5.5 feet is not 5 ft 5 in. Five and a half feet is 5 ft 6 in, because half of twelve is six. Writing a height as a decimal number of feet is almost always a mistake.

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Converting centimetres to feet and inches

Three steps, and the middle one is where people stop too early.

Step 1 — get the total inches

Divide the centimetres by 2.54. For 180 cm: 180 ÷ 2.54 = 70.87 inches.

Step 2 — split into feet

Divide the total inches by 12 and keep only the whole number. 70.87 ÷ 12 = 5.9, so that's 5 feet.

Step 3 — find the leftover inches

Multiply the feet back out and subtract: 5 × 12 = 60, and 70.87 − 60 = 10.87 inches. So 180 cm is 5 ft 10.9 in, usually written 5′11″.

The common error is stopping after step 2 and reading 5.9 as "five foot nine". It isn't — the .9 is nine tenths of a foot, which is nearly eleven inches.

Converting feet and inches to centimetres

This direction is easier, because the answer is a single number. Turn the height entirely into inches, then multiply by 2.54.

For 5 ft 7 in: (5 × 12) + 7 = 67 inches, and 67 × 2.54 = 170.18 cm.

The rounding trap worth knowing about

Round-numbered heights in one system are never round numbers in the other, and the figures that circulate online are usually rounded twice.

HeightExactCommonly quoted
5′6″167.64 cm168 cm
5′10″177.80 cm178 cm
6′0″182.88 cm183 cm
6′2″187.96 cm188 cm
Each "commonly quoted" figure is up to half a centimetre out.

A single rounding is harmless. The problem is converting back: take the rounded 183 cm and convert it to imperial and you get 6 ft 0.05 in. Do that a few times — a form here, a profile there — and small errors accumulate into a height that doesn't match your own records.

If something asks for an exact figure, convert once from the measurement you actually took, and keep the decimal.

Quick reference

Centimetres to feet and inches

cmFeet & inchescmFeet & inches
1504 ft 11.1 in1755 ft 8.9 in
1555 ft 1.0 in1805 ft 10.9 in
1605 ft 3.0 in1856 ft 0.8 in
1645 ft 4.6 in1906 ft 2.8 in
1655 ft 5.0 in1956 ft 4.8 in
1705 ft 6.9 in2006 ft 6.7 in

Feet and inches to centimetres

HeightcmHeightcm
5′0″152.45′9″175.3
5′3″160.06′0″182.9
5′6″167.66′3″190.5

"EU height" and "UK height" — what people usually mean

This is one of the most common ways the question gets asked, and it's worth untangling, because there is no such thing as a European height measurement or a British one. There are only two systems: metric and imperial.

Most of the world uses centimetres

Continental Europe, Asia, Africa, South America and Australia all record height in centimetres. If a form, medical record or ID document from any of those places asks for your height, it wants a single number in cm.

The United States uses feet and inches

Both conversationally and officially. This is the one place where the imperial figure is the default on paperwork.

The UK does both, which is the actual source of confusion

British people almost always say their height in feet and inches — "five foot eight" — while official forms, medical notes and NHS records use centimetres. So someone searching "EU to UK height" is usually not comparing two countries at all. They have a number in one system and need it in the other, and the UK happens to be the place where you routinely need both in the same week.

Writing your height on a form

Three things that save trouble:

  • Check which unit is being asked for. A field labelled only "height" on an international form usually means centimetres.
  • Don't convert a converted number. Go back to the original measurement each time rather than translating a figure you already translated.
  • Keep one decimal place if the form allows it. 177.8 is more useful than 178 if anything later needs the imperial equivalent.

Frequently asked questions

How many centimetres is 5 foot 10?

177.8 cm exactly. It is often quoted as 178 cm, which is rounded up by two millimetres.

Why isn't 6 feet exactly 183 cm?

Because 72 inches × 2.54 = 182.88 cm. The two systems were defined independently, so round numbers in one are almost never round in the other. The inch was fixed at exactly 2.54 cm by international agreement in 1959; before that, different countries used slightly different inches.

Is there a difference between EU and UK height measurements?

No. Both use the metric system officially. The difference is conversational: in the UK people usually speak in feet and inches even though forms and medical records use centimetres.

Is 164 cm short?

There's no single answer, because average height varies widely between countries and between populations within them — by more than 15 cm across the world. 164 cm is close to the average for adult women in much of Europe and above it in parts of Asia. Height is largely determined by genetics and childhood nutrition, and it isn't an indicator of health on its own.

What is 5.5 feet in feet and inches?

5 ft 6 in. Half of twelve inches is six, not five. Decimal feet are a common source of error — it's safer to avoid writing heights that way.

Does height change during the day?

Yes, slightly. Spinal discs compress under load, so most people measure up to about a centimetre shorter in the evening than first thing in the morning. If you need a consistent figure, measure at the same time of day.

Convert it without the arithmetic