Inches to Centimeters Calculator

Centimeters : 0

Converting inches to cm: In this tutorial, we will provide an introduction to both inches and centimeters units. We shall learn the relationship between these two units, create a formula to convert given length from inches to centimeters. Finally, we shall use this formula to convert a given number of inches to centimeters with a couple of examples.

Introduction to Inches (in)

Inches (in) are a unit of length in the imperial system. They are primarily used in countries like the United States, Canada, and the UK.

Important points to remember about inches:

  • 1 inch is equal to 1/12 of a foot.
  • The symbol for inches is usually represented as a double prime (“).
  • 1 inch is exactly 2.54 centimeters in the metric system.

Introduction to Centimeters (cm)

Centimeters (cm) are a metric system unit of length. One centimeter is defined as 1/100 of a meter.

Important points to remember about centimeters:

  • 1 centimeter is equal to 0.01 meters (1/100th of a meter).
  • The symbol for centimeters is “cm.”
  • 1 centimeter is equal to 10 millimeters.
  • In the imperial system, 1 centimeter is approximately 0.3937 inches.

How to Convert from Inches to Centimeters

The relation between inches and centimeters is:

1 inch is equal to 2.54 centimeters.

Therefore, in one inch there are 2.54 centimeters.

Formula for Conversion

We can put the above relation into a formula to convert inches (in) to centimeters (cm).

cm = in × 2.54

To convert any number of inches to centimeters, we multiply the given number of inches with the conversion factor 2.54. That gives us the length in centimeters.


Examples

Let us go through some real-life examples, where we are given a length in inches, and we need to convert that length from inches to centimeters.

Example 1: Convert 5 inches to centimeters

Consider that we are given a rod whose length is 5 inches. We need to find this length in centimeters.

Solution

Step 1: Write the formula for conversion from inches to centimeters.

cm = in × 2.54

Step 2: Substitute the value of inches with 5 in the formula.

cm = 5 × 2.54

Step 3: Simplify the multiplication present on the right-hand side of the equation.

cm = 12.7

Answer: 5 inches = 12.7 cm. Therefore, the rod whose length is 5 inches, is 12.7 centimeters.

Example 2: Convert Frame width of 8 inches to centimeters

Consider that we are given a frame whose width is 8 inches. We need to find this width in centimeters.

Solution

Step 1: Write down the formula for conversion from inches to centimeters.

cm = in × 2.54

Step 2: Substitute the value of inches with 8 in the above formula. It becomes,

cm = 8 × 2.54

Step 3: Simplify the multiplication present on the right-hand side of the equation. You may use a calculator.

cm = 20.32

Answer: 8 inches = 20.32 cm. Therefore, the frame width 20.32 in centimeters.


Table of Conversions from Inches to Centimeters

In the following table, we take length of some well-known objects and convert them from inches to centimeters.

ScenarioLength in inchesLength in cm
Width of a standard book6 inches15.24 cm
Height of a tablet9 inches22.86 cm
Length of a ruler12 inches30.48 cm
Diameter of a pizza16 inches40.64 cm
Width of a monitor24 inches60.96 cm
Height of a door80 inches203.2 cm
Height of a fridge70 inches177.8 cm
Length of a guitar40 inches101.6 cm
Diagonal of a TV55 inches139.7 cm
Length of a bed75 inches190.5 cm

Frequently Asked Questions about Inches to Centimeters Conversion

1. How do you convert inches to centimeters?

To convert inches to centimeters, you need to multiply the given length in inches with 2.54. The formula is:

centimeters = inches x 2.54

Substitute given number of inches, and solve the right-side product to get length in centimeters.

2. What is the formula to convert centimeters to inches?

To convert centimeters to inches, you divide the length in centimeters by 2.54. This relation can be derived from the formula to convert from inches to centimeters.

The formula is:

inches = centimeters / 2.54

3. How many centimeters are there in 1 inch?

1 inch is equal to 2.54 centimeters. You can get this by substituting 1 in the place of inches in the conversion formula of inches to centimeters.

centimeters = inches x 2.54
centimeters = 1 x 2.54
centimeters = 2.54

4. How many inches are there in 1 centimeter?

1 centimeter is approximately 0.3937 inches.

5. Why do we use the factor 2.54 to convert inches to centimeters?

The factor 2.54 is derived from the relationship between inches and centimeters, as we have seen in the formula section, where 1 inch is defined as 2.54 centimeters.

6. Can I use a calculator to convert inches to centimeters?

Yes, you can use a calculator. Simply multiply the value in inches with the factor 2.54 to get the value in centimeters.

Common Mistakes When Converting Inches to Centimeters and How to Avoid Them

Converting inches to centimeters is usually simple. It’s just a multiplication of two numbers. But mistakes can happen and we may get incorrect results.

Here, we have given the top five common errors people make. Also, we have given the tips on how to avoid each mistake.

1. Using the Wrong Conversion Factor

A common mistake is using an incorrect conversion factor. The correct conversion is 1 inch equals 2.54 centimeters. If you use the wrong factor, your results will be wrong.

How to Avoid: Always make sure that you’re using the correct conversion factor of 2.54. When unsure, double-check with a reliable source or you can use the calculator given at the beginning of this tutorial.

2. Mixing Up Units

Confusing inches with centimeters can easily lead to mistakes. This is especially common when working with multiple measurements or in different unit systems.

How to Avoid: Clearly label your units, and always ensure you know whether you’re working with inches or centimeters before performing any conversion.

3. Rounding Too Early

You may be tempted to round the conversion factor or result too early in your calculation to reduce the math. But this can introduce errors. For example, rounding 2.54 to 2.5 before completing your calculation may give an inaccurate result.

How to Avoid: Keep all decimal points throughout your calculations until you arrive at the final result. Only round the final answer if necessary.

4. Using Approximate Values

Using rough or easy-to-remember approximations, such as using 2.5 for inches instead of 2.54, can lead to errors in conversion.

How to Avoid: Always use the exact value of 2.54 for converting inches to centimeters. Precision ensures accuracy!

5. Ignoring Decimal Points

When converting measurements, it’s easy to overlook decimals, which can lead to incorrect conversions. For instance, converting 3.5 inches to centimeters requires paying attention to the decimal; otherwise, your result will be off.

How to Avoid: Be mindful of decimal points throughout the conversion process to ensure your results are accurate.

By keeping these common mistakes in mind and following the tips provided, you may avoid errors and ensure accurate conversions.