Convert pixels to inches: enter a resolution such as 1920 x 1080 and the PPI (300 for print, 96 for screens) to get width, height and diagonal size.
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- Pixels to Inches Calculator
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Resolution To Inches Formula
The following formulas are used to calculate the width and height in inches of a screen.
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, select PPI and size from display diagonal in the calculator. Enter its whole-pixel width and height and visible diagonal. The formulas below assume square pixels. Alternatively, when PPI is known, width in inches = pixel width / PPI and height in inches = pixel height / PPI.
| Diagonal (in) | Width (in) | Height (in) |
|---|---|---|
| 5.5 | 4.79 | 2.70 |
| 6.1 | 5.32 | 2.99 |
| 6.7 | 5.84 | 3.28 |
| 11 | 9.59 | 5.39 |
| 12.9 | 11.24 | 6.32 |
| 13.3 | 11.59 | 6.52 |
| 14 | 12.20 | 6.86 |
| 15.6 | 13.60 | 7.65 |
| 16 | 13.95 | 7.84 |
| 17.3 | 15.08 | 8.48 |
| 19 | 16.56 | 9.31 |
| 21.5 | 18.74 | 10.54 |
| 24 | 20.92 | 11.77 |
| 27 | 23.53 | 13.24 |
| 32 | 27.89 | 15.69 |
| 34 | 29.63 | 16.67 |
| 40 | 34.86 | 19.61 |
| 43 | 37.48 | 21.08 |
| 50 | 43.58 | 24.51 |
| 55 | 47.94 | 26.96 |
| * Rounded to 2 decimals. Assumes a 16:9 aspect ratio (e.g., 1920×1080). Formulas: Width ≈ 0.8716 × diagonal, Height ≈ 0.4903 × diagonal. | ||
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.
- First, determine the resolution width (in pixels).
- Next, determine the resolution height (in pixels).
- Next, determine the diagonal size of the screen (in inches).
- Calculate the aspect ratio (AR) by dividing the resolution width by the resolution height.
- Calculate the height (H) in inches using the formula H = √(D² / (AR² + 1)).
- Calculate the width (W) in inches using the formula W = H * AR.
- 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. For 1920 × 1080 square pixels, the visible screen is approximately 20.92 × 11.77 inches, with a pixel density of 91.79 PPI.
