keepcalculator

01 Unit Conversions

Feet and Inches to Centimeters: Calculator and Formula

Card No. 01·0627 · Updated · Standard formula, shown below

Length 152.40 cm
Total length
60.00 in
Result
Feet
5 ft
You entered
Additional inches
0 in
You entered
You enter
Feet, Additional inches
You get
Length, Total length
Rounding
2 dp

This feet-and-inches to centimeters calculator converts a length into centimeters. Enter the number of feet and any additional inches; the calculator returns the total length in centimeters, with the exact conversion formula shown below.

Formula

One foot contains exactly 12 inches, and one inch equals exactly 2.54 centimeters. The calculator first combines the feet and extra inches, then converts that total to centimeters:

  • Total inches = 12 × feet + additional inches
  • Centimeters = 2.54 × total inches

In symbols, cm = 2.54 × (12 × ft + inch). Here, ft is the number of feet, inch is the remaining number of inches, and cm is the resulting length in centimeters. The second output, total inches, is an intermediate value that can help you check the conversion.

The additional-inches input is limited to less than 12 because a full 12 inches makes another foot. For example, 5 feet 12 inches is the same length as 6 feet 0 inches. You can enter 0 when the measurement has no extra inches.

Worked Example

Using the calculator’s default values, the measurement is 5 feet and 0 additional inches:

  1. Convert feet to inches: 12 × 5 = 60 inches.
  2. Add the additional inches: 60 + 0 = 60 inches total.
  3. Convert inches to centimeters: 60 × 2.54 = 152.4 centimeters.

The calculator displays 152.40 cm and 60.00 in. The displayed zeros reflect the calculator’s two-decimal setting; they do not imply that the original measurement was recorded to hundredths of an inch.

How to Enter Feet and Inches

Use the first box for complete feet and the second for the remaining inches. For a height of 5 feet 7 inches, enter 5 for feet and 7 for additional inches. The total is 67 inches, or 170.18 centimeters.

If your measurement is already written as a decimal number of feet, convert the decimal part into inches before entering it. For example, 5.5 feet means 5 feet plus 0.5 of a foot. Since a foot has 12 inches, 0.5 × 12 = 6 inches; enter 5 feet and 6 inches. Do not enter 5.5 in the feet box and also enter 6 inches, as that would count the fractional foot twice.

If a source gives only a total number of inches, divide by 12 to get feet and a remainder. For 67 inches, 67 ÷ 12 gives 5 whole feet with 7 inches remaining. Alternatively, convert the total inches directly by multiplying by 2.54.

How the Conversion Works

The relationship between inches and centimeters is fixed: 1 inch = 2.54 cm exactly. This exact definition means there is no changing conversion rate or measurement table to consult. The conversion itself does not make an imprecise measurement more precise, though. If a tape measure reading was only estimated to the nearest inch, reporting a long string of decimal places in centimeters would suggest more certainty than the original reading supports.

For a direct mental check, 1 foot equals 30.48 centimeters because 12 × 2.54 = 30.48. Thus, 5 feet alone is 152.4 cm; adding 7 inches adds 17.78 cm, giving 170.18 cm for 5 feet 7 inches.

To convert in the opposite direction, divide centimeters by 2.54 to get total inches, then divide those inches by 12 to express the answer in feet and remaining inches. For instance, 170.18 cm ÷ 2.54 = 67 inches, which is 5 feet 7 inches.

When to Use It and How to Read the Result

This conversion is useful whenever a measurement in feet and inches needs to be compared with a metric measurement or entered into a form that asks for centimeters. The calculator performs only a unit conversion; it does not judge whether a measurement is suitable for a particular product, space, or task.

  • Read the first output as the metric length. It is the combined measurement in centimeters.
  • Use total inches as a cross-check. Multiply that output by 2.54 to reproduce the centimeter result.
  • Keep the source precision in mind. A result such as 170.18 cm may be mathematically exact for 67 inches, but the physical measurement may still have been rounded.
  • Check the units on the original value. A decimal number of feet, a total number of inches, and a feet-and-inches pair require different input handling.

Feet and inches are commonly used together in the United States, while centimeters are part of the metric system. The calculator is appropriate for ordinary nonnegative lengths. It is not designed for negative coordinates or for entering a measurement in meters, yards, or another unit without first converting that value into feet and inches.

Common Mistakes and Limits

A frequent error is treating the inch portion as a decimal fraction of a foot. In a feet-and-inches notation, 5 feet 7 inches is not 5.7 feet. Seven inches is 7 ÷ 12 = 0.5833… of a foot, so 5 feet 7 inches is about 5.5833 feet. The calculator avoids this issue when the two parts are entered separately.

Another mistake is entering a total-inch value as feet. For example, a 67-inch measurement belongs in the feet-and-inches form as 5 feet and 7 inches, not 67 feet. Also avoid putting 12 or more in the additional-inches field: carry each group of 12 inches into the feet field instead.

Rounding can account for small differences between calculators or printed references. This calculator rounds its displayed outputs to two decimal places, while the conversion factor itself is exact. If you need a particular rounding convention, apply it to the final result and retain unrounded values during intermediate calculations.

The calculation assumes the numbers entered describe one length in the same measurement system. It cannot correct a faulty tape reading, identify whether a source rounded its measurement, or resolve ambiguity in a poorly labeled value. Confirm the source unit before relying on the converted number.

Frequently Asked Questions

How many centimeters are in one foot?
One foot is 12 inches, and each inch is exactly 2.54 centimeters. Therefore, one foot equals 30.48 centimeters.

How many centimeters is 5 feet 7 inches?
Five feet 7 inches is 67 inches in total. Multiplying 67 by 2.54 gives 170.18 centimeters.

How do I convert decimal feet to centimeters?
Multiply decimal feet by 30.48. For example, 5.5 feet × 30.48 = 167.64 cm. In this calculator, 5.5 feet can instead be entered as 5 feet and 6 inches.

Is 5 feet 7 inches the same as 5.7 feet?
No. The 7 in 5 feet 7 inches means seven inches, or 7/12 of a foot. The measurement is about 5.5833 feet, not 5.7 feet.

Why does the calculator show decimal places?
It displays centimeters and total inches to two decimal places for readability. The exact inch-to-centimeter factor is 2.54, but decimal formatting does not tell you how precisely the original length was measured.

Related

Formula used
in ft | Feet | ft | 5 | 0 | 100000
in inch | Additional inches | in | 0 | 0 | 11.999999
out cm | Length | cm | 2.54 * (12 * ft + inch) | 2
out totalin | Total length | in | 12 * ft + inch | 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.

More cards in this drawer

The whole Unit Conversions drawer →