Enter the resolution width and height in pixels, along with the diagonal size in inches, into the calculator to determine the width and height of a screen in inches. This calculator helps in understanding the physical dimensions of a display based on its resolution and size.

Resolution To Inches Formula

The following formulas are used to calculate the width and height in inches of a screen. 

W = H * (AR)
H = √(D² / (AR² + 1))

Variables:

  • W is the width of the screen (inches)
  • H is the height of the screen (inches)
  • AR is the aspect ratio of the screen (width / height)
  • D is the diagonal size of the screen (inches)

To calculate the width and height in inches of a screen, first determine the aspect ratio (AR) by dividing the resolution width by the resolution height. Then, calculate the height (H) using the diagonal size (D) and the aspect ratio. Finally, calculate the width (W) by multiplying the height by the aspect ratio.

What is Resolution To Inches?

Resolution to inches is a conversion that allows you to understand the physical dimensions of a display based on its pixel resolution and diagonal size. This is particularly useful when trying to determine the actual size of a screen, which can be important for fitting a display into a specific space or understanding how large an image will appear.

How to Calculate Screen Size in Inches?

The following steps outline how to calculate the screen size in inches.

  1. First, determine the resolution width (in pixels).
  2. Next, determine the resolution height (in pixels).
  3. Next, determine the diagonal size of the screen (in inches).
  4. Calculate the aspect ratio (AR) by dividing the resolution width by the resolution height.
  5. Calculate the height (H) in inches using the formula H = √(D² / (AR² + 1)).
  6. Calculate the width (W) in inches using the formula W = H * AR.
  7. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Resolution width (pixels) = 1920

Resolution height (pixels) = 1080

Diagonal size (inches) = 24