Feet to Centimeters
Convert feet (ft) to centimeters (cm). Both measure distance and dimension, and the conversion comes up in construction, navigation, sports work.
The Formula
``
centimeters = feet Ć 30.48
feet = centimeters Ć 0.0328083989501
`
One foot is 30.48 centimeters, and one centimeter is 0.032808 feet.
Conversion Table
| Feet | Centimeters |
|---|---|
| 1 ft | 30.48 cm |
| 2 ft | 60.96 cm |
| 5 ft | 152.4 cm |
| 10 ft | 304.8 cm |
| 25 ft | 762 cm |
| 50 ft | 1,524 cm |
| 100 ft | 3,048 cm |
| 500 ft | 15,240 cm |
| 1,000 ft | 30,480 cm |
The Other Direction
| Centimeters | Feet |
|---|---|
| 1 cm | 0.032808 ft |
| 2 cm | 0.065617 ft |
| 5 cm | 0.164042 ft |
| 10 cm | 0.328084 ft |
| 25 cm | 0.82021 ft |
| 50 cm | 1.6404 ft |
| 100 cm | 3.2808 ft |
| 500 cm | 16.4042 ft |
| 1,000 cm | 32.8084 ft |
What Each Unit Is
Feet (ft) ā exactly 0.3048 metres, or one third of a yard. A human foot, standardised across centuries of conflicting local definitions.
Centimeters (cm) ā one hundredth of a metre. A metric subdivision, and the everyday unit for body and object measurements in metric countries.
A Sense of Scale
A ceiling is 8ā9 ft- Aviation altitude is always in feet
- A door is about 6.7 ft
- A fingernail is about 1 cm wide
- A credit card is 8.6 cm long
- A4 paper is 21 cm wide
Doing It in Your Head
Multiply by 30. That is off by 1.57% ā close enough to judge a
distance, a weight or a price, and not close enough to sign off on a drawing.
Exact Mental shortcut 304.8 cm 300 cm 3,048 cm 3,000 cm
Precision
The factor 30.48 is rounded. For engineering work carry more digits than the table above, and round only at the end ā rounding at each step compounds.
In Code
`javascript
const footToCentimeter = (value) => value * 30.48;
``
Where This Conversion Comes Up
- Construction
- Navigation
- Sports
- Sewing
- Mapping
How Many Decimals Do You Need?
Rounding the factor costs accuracy, and how much depends on the factor. Converting 137 ft with the factor truncated at each decimal place:
| Decimals kept | Factor | 137 ft becomes | Error |
|---|---|---|---|
| 0 | 30 | 4,110 | 1.5748% |
| 1 | 30.5 | 4,178.5 | 0.0656% |
| 2 | 30.48 | 4,175.76 | ā |
| 3 | 30.48 | 4,175.76 | ā |
| 4 | 30.48 | 4,175.76 | ā |
The right number of significant figures is set by your input, not by the converter. If you measured feet to three significant figures, the answer in centimeters is only good to three ā writing more digits claims precision the measurement never had.