Feet to cm converter

What is a foot and a centimeter?

In the world of measurements, distance and length are expressed using a variety of units depending on the system used. The foot (plural: feet) is a unit of length in the Imperial and US customary systems, still widely used in countries such as the United States, Canada, and the United Kingdom. One foot equals 12 inches. On the other hand, the centimeter (cm) belongs to the metric system, which is the international standard of measurement, used almost everywhere else in the world. A centimeter is part of the meter, which is defined as one hundredth of a meter.

The conversion formula

The relationship between feet and centimeters is fixed, since both units are defined in relation to the meter. The exact definition is:

$$1 \text{ foot} = 30.48 \text{ centimeters}$$

Thus, the general formula for converting feet to centimeters is:

$$L_{\text{cm}} = L_{\text{ft}} \times 30.48$$

where:

• $L_{\text{cm}}$ is the length in centimeters,
• $L_{\text{ft}}$ is the length in feet.

If you have a measurement given in both feet and inches, convert the inches separately since there are 12 inches in a foot:

$$L_{\text{cm}} = (L_{\text{ft}} + \frac{L_{\text{in}}}{12}) \times 30.48$$

For instance, 5 feet 8 inches will be calculated as:

$$(5 + \frac{8}{12}) \times 30.48 = 172.72 \text{ cm}$$

Conversion table (feet to centimeters)

A quick reference table can assist in visualizing common conversions:

These values are exact as the conversion ratio is defined precisely by international agreement.

Interesting historical notes

The concept of the foot as a measurement dates back to ancient civilizations. The “foot” was roughly based on the length of an average adult male’s foot and was used in Egypt, Greece, and Rome with slightly varying definitions.

Standardization came over centuries. In 1959, the International Yard and Pound Agreement established the relationship between the Imperial and metric units, defining one international foot exactly as 0.3048 meters. Before this, small differences existed between the US and British definitions of the foot.

The centimeter, on the other hand, is a derivative of the meter — a unit born of the metric reform following the French Revolution. The meter was designed to be universal and based on the Earth’s dimensions, which led to the metric system we use today.

Examples of conversion

Example 1

Convert 5 feet 9 inches to centimeters.

$$L_{\text{cm}} = (5 + \frac{9}{12}) \times 30.48 = 175.26 \text{ cm}$$

Thus, 5’9” equals approximately 175.26 cm.

Example 2

Convert 2.5 feet to centimeters.

$$L_{\text{cm}} = 2.5 \times 30.48 = 76.20 \text{ cm}$$

This might correspond, for instance, to the height of a small table or stool.

Example 3

An architectural measurement of a wall is 9 feet 6 inches. To find its metric equivalent:

$$L_{\text{cm}} = (9 + \frac{6}{12}) \times 30.48 = 289.56 \text{ cm}$$

Therefore, the wall’s height is approximately 2.8956 meters.

Where feet to centimeter conversion is commonly used

In sports and measurements

Athletes’ heights, jump distances, and certain event measurements (e.g., long jump, high jump) are often expressed differently depending on the contest location. Translating between feet and centimeters ensures fair comparison of results worldwide.

In medicine and health

Doctors and nutritionists often express height and body proportions in centimeters as part of BMI (Body Mass Index) calculations, while many Western patients think in feet and inches. Conversion makes these measures compatible.

In industry and engineering

Blueprints, machine part specifications, and international production standards frequently require unit unification to the metric system. Precision in this regard ensures correct assembly and product compatibility.

In education

Students learning geometry, physics, or mixed-unit systems in science often practice converting between Imperial and metric units to strengthen numerical understanding and dimensional analysis.

Frequently asked questions

How to convert 5 feet 8 inches to centimeters?

Use the formula $L_{\text{cm}} = (L_{\text{ft}} + \frac{L_{\text{in}}}{12}) \times 30.48$.
For $L_{\text{ft}} = 5$ and $L_{\text{in}} = 8$:
$(5 + \frac{8}{12}) \times 30.48 = 172.72\ \text{cm}$.
So, the height is approximately 172.72 centimeters.

How many centimeters are there in 7 feet?

$$7 \times 30.48 = 213.36 \text{ cm}$$

Therefore, 7 feet equal 213.36 centimeters.

How to express 5 feet in meters and centimeters?

First, convert 5 feet to centimeters:

$$5 \times 30.48 = 152.40 \text{ cm}$$

This equals 1 meter and 52.4 centimeters because 100 cm = 1 m.