Screen Size From Diagonal
Calculator
Results
- Screen width (inches)
- 23.532539
- Screen height (inches)
- 13.237053
- Screen width (cm)
- 59.77265
- Screen height (cm)
- 33.622115
- Screen area (in²)
- 311.501483
Design and print results
| Screen width (inches) | 23.532539 |
| Screen height (inches) | 13.237053 |
| Screen width (cm) | 59.77265 |
| Screen height (cm) | 33.622115 |
| Screen area (in²) | 311.501483 |
formula-map diagram
- Screen width (inches)
- 23.532539
- Screen height (inches)
- 13.237053
- Screen width (cm)
- 59.77265
- Screen height (cm)
- 33.622115
- Screen area (in²)
- 311.501483
Formula breakdown
Formula
width = diagonal × a ÷ √(a² + b²); height = diagonal × b ÷ √(a² + b²)= 23.532539502363
Note
Simplified model: these are standard prepress and typographic relationships computed on nominal values. Real press bulk, paper caliper and shrinkage, ink limits for a given profile, font metrics and binding allowances vary by supplier and by job, so confirm with your printer and a proof before going to press.
More in Design and printing
See all →Frequently asked questions
How does the calculator get width and height from a diagonal measurement?+
It uses the aspect ratio and the Pythagorean theorem: given the diagonal and a ratio like 16:9, it solves for the two sides whose ratio matches 16:9 and whose diagonal equals the stated value.
Why do TVs and monitors always list their size as a single diagonal number?+
It's an industry convention dating back to CRT displays, where diagonal was the most consistent measurement across differently-shaped tubes. It stuck even though it doesn't directly tell you the width or height, which matter more for fitting a screen into a space.
Why does a 55-inch 21:9 ultrawide look so different from a 55-inch 16:9 TV?+
Because the same diagonal length distributes differently across width and height depending on the aspect ratio — a wider ratio like 21:9 stretches that diagonal into a longer, shorter screen, while 16:9 is more balanced, so the two are not interchangeable despite the identical diagonal number.
How do I know if a screen will physically fit in my space using just the diagonal spec?+
Convert the diagonal to actual width and height using its aspect ratio first, since the diagonal alone doesn't tell you either measurement. This calculator does exactly that conversion so you can check against your available width and height.
Does this calculation account for the bezel around the screen?+
No — it calculates only the visible display area (the panel itself), not the bezel or overall unit dimensions. Add your specific product's bezel width from its spec sheet if you need the full physical footprint.