Screen Dimensions Calculator
Find a screen’s width and height.
Result
How it is calculated
A screen is a rectangle, so its diagonal, width and height form a right triangle. With the ratio W:H, the diagonal corresponds to k = √(W² + H²) ratio units. Then width = diagonal × W / k and height = diagonal × H / k. The diagonal is read in inches and both results are given in inches, rounded to two decimals. Diagonal and both ratio numbers must be above zero. Any ratio works (16:9, 21:9, 4:3, 16:10), because only the proportion matters, not the absolute numbers. The result is the visible panel size, not the outer frame.
Worked example
A 27-inch monitor with a 16:9 ratio. First k = √(16² + 9²) = √337 ≈ 18.36. Width = 27 × 16 / 18.36 ≈ 23.53 in. Height = 27 × 9 / 18.36 ≈ 13.24 in. Check: 23.53² + 13.24² ≈ 729, which is 27². In centimetres that is about 59.8 cm wide and 33.6 cm tall.
Common mistakes
- Assuming a 27-inch screen is 27 inches wide; the diagonal is always the longest side.
- Entering the ratio as a decimal and a whole number inconsistently (1.78 and 1 is fine, but 16 and 1.78 is not).
- Swapping the ratio numbers for a portrait screen: for a rotated display swap width and height or enter 9:16.
- Comparing screens of different ratios by diagonal alone; a 21:9 ultrawide has less height than a 16:9 screen of the same diagonal.
- Forgetting that bezels and stands are not included in the panel size.
About this calculator
This calculator uses the Pythagorean theorem together with an aspect ratio (like 16:9 or 21:9) to split a screen's diagonal measurement into its actual width and height — the diagonal number alone doesn't tell you how wide or tall a screen physically is.
It's used when shopping for a TV or monitor to check whether it will physically fit a piece of furniture or wall space, by home theater and cinema planners figuring out projector throw distances, and by developers or designers reasoning about display dimensions.
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Comments (1)
The width and height are the visible panel in inches, without bezel or stand, so measure the desk space with a little margin. You can enter any ratio, such as 21 and 9, and the same diagonal gives a much shorter, wider screen than 16 and 9, which is worth comparing before buying an ultrawide. Multiply by 2.54 for centimetres. Which ratio do you plan to use?