THE NUMBERS, EXPLAINED
How to use this calculator.
Assumes square pixels and uses the physical diagonal.
Start with your inputs
Enter horizontal pixels, vertical pixels, diagonal (inches). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Horizontal pixels | 1920 |
| Vertical pixels | 1080 |
| Diagonal (inches) | 24 |
A worked example
With the example inputs above, pixel density (ppi) is 91.787799. Change the inputs to explore your own scenario.
Putting the example numbers into the formula
Pixel density (ppi)
hypot((1920),(1080)) ÷ (24) = 91.787799
| Result | Example answer |
|---|---|
| Pixel density (ppi) | 91.787799 |
How this is calculated
Pixel density (ppi)
hypot(a,b) ÷ c
Symbols and units
- a
- Horizontal pixels
- b
- Vertical pixels
- c
- Diagonal (inches)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Calculation steps and notation
hypot(x, y, …) is sqrt(x²+y²+…), the Euclidean length.
Assumptions and limits
Assumes square pixels and uses the physical diagonal.
Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.
Questions about this tool
What does the result tell me?
Pixel density (ppi). The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.
Why might another calculator differ?
Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: Assumes square pixels and uses the physical diagonal.
Are my inputs stored or sent to AI?
Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.
Review status
Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.
Read the quality report →