Calculation of the diagonal of a screen: from inches to cm

When we talk about the diagonal of a screen, it is common to wonder how to convert inches to centimeters to better visualize the size of the screen in question. Below, we will explain how to make this calculation and thus allow you to easily understand the dimensions of your screens. You will also discover a conversion table for inches to cm.

Let's dive into the fascinating world of screen diagonal, where inch and centimeter meet to reveal the exact length of your television. Learn how to decipher this mysterious unit with our surprising table that will guide you through the maze of screens of various sizes. In a blink of an eye, master screen sizes like never before and let yourself be carried away by a new adventure at the heart of the exciting world of screens.

Understanding the units of measurement for screens: inches (") and centimeters (cm)

Before delving into the calculation of a screen's diagonal, it is essential to understand the units of measurement used.

Screen sizes are generally expressed in inches, whether for a television, a computer monitor, or a smartphone. One inch corresponds to 2.54 centimeters. Therefore, to convert inches to centimeters, simply multiply the number of inches by 2.54. For example, a 40-inch screen will have a diagonal of 101.6 centimeters (40 x 2.54 = 101.6).

Now that we understand how to convert inches to centimeters, it is crucial to note that the diagonal of a screen is measured between two opposite corners. Therefore, when referring to the size of a screen in inches or centimeters, we are talking about the length of this diagonal. That being said, to calculate the height and width of a screen, it is necessary to consider the screen's aspect ratio.

Also read: What is the ideal distance between the TV screen and the sofa?

Calculating a screen's diagonal based on its aspect ratio

The aspect ratio of a screen is generally expressed as a ratio between its width and height. The most common aspect ratio is 16:9, used for televisions and most computer monitors. To calculate the height and width of a screen based on its diagonal, one must use the Pythagorean theorem (yes, you thought you would never need it) and consider the screen's aspect ratio.

Here are the steps to follow to perform this calculation:

  1. Convert the screen's diagonal to centimeters (by multiplying the number of inches by 2.54).
  2. Divide the width of the aspect ratio by the height of the aspect ratio to obtain the ratio (for example, 16/9 for a 16:9 screen).
  3. Apply the Pythagorean theorem: (width² + height² = diagonal²).
  4. Solve the equation by isolating the width or height, then calculate the other dimension.

With these steps, you will be able to determine the exact dimensions of a screen based on its diagonal and aspect ratio. Remember that this calculation is useful for both televisions and computer monitors, smartphones, and other devices equipped with a display.

Estimating a screen's dimensions based on its diagonal

TV screen diagonals

After understanding how to calculate a screen's diagonal in centimeters and the units of measurement for screens, it is time to address another important aspect: estimating a screen's dimensions based on its diagonal. In fact, when talking about a screen's size, it is common to mention its diagonal in inches. However, it can be interesting to know the exact height and width in centimeters to better understand the actual dimensions.

To do this, one should apply a simple calculation rule based on the screen's aspect ratio. The most common aspect ratio is 16:9, which corresponds to television screens and computer monitors. Thus, to convert the diagonal in inches to length and height in centimeters, it is necessary to use the ratio between the two sides.

For example, if a 16:9 screen has a diagonal of 32 inches, this measurement can be divided by the square root of (1+16²/9²), approximately 1.779. The result, multiplied by 2.54 (to convert inches to centimeters), will correspond to the width of the screen. To obtain the height, simply divide this width by 16 and multiply by 9.

The different types of screens and their specifics

There are several types of screens, each with its own characteristics in terms of dimensions, resolution, and format. In addition to the previously mentioned 16:9 format, there are other common formats such as 4:3 (used for older televisions and monitors) or 21:9 (for ultra-wide screens).

Each type of screen has advantages and disadvantages depending on its use, and it is essential to consider these elements when choosing a new screen.

In terms of resolution, it is crucial to note that the higher a screen's definition is, the better the quality of the displayed image will be. However, this also implies a larger screen size to maintain a good level of detail. Therefore, it is crucial to evaluate the available space and specific needs before choosing a screen based on its diagonal, resolution, and format.

Also read: How to connect a soundbar to a TV

The role of conversion tables for inches to cm

Conversion tables are excellent tools for facilitating the transition between units of measurement. They allow for a quick comparison of a screen's dimensions in inches and centimeters, providing a more accurate view of the real sizes.

Here is ours with the most common screen sizes:

Size in inches Diagonal in centimeters
17" 43.18 cm
19" 48.26 cm
21" 53.34 cm
23" 58.42 cm
24" 60.96 cm
27" 68.58 cm
32" 81.28 cm
40" 101.6 cm
43" 109.22 cm
48" 121.92 cm
50" 127 cm
55" 139.7 cm
60" 152.4 cm
65" 165.1 cm
70" 177.8 cm
75" 190.5 cm
80" 203.2 cm
85" 215.9 cm

The function of online calculators

Many online calculators allow for quick and easy conversions between different units. These tools are particularly useful for those who do not wish to carry out calculations manually and prefer to obtain an instant result.

Mastering the art of screen selection

Ultimately, selecting a screen involves a thorough understanding of dimensions, units of measurement, and formats. With this knowledge and the available tools such as conversion tables and online calculators, it is now possible to precisely understand the dimensions of a screen based on its diagonal and make the most suitable choice according to one's needs.

So, do not hesitate to immerse yourself in the exciting world of screens and their characteristics!