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PPI can be calculated from knowing the diagonal size of the screen in inches and the resolution in pixels (width and height). This can be done in two steps

STEP 1 : Diagonal Resolution of Screen

Using the Pythagorean theorem, for 3 different screen resolutions:

1. Diagonal Resolution - Pixels
dpdiagonal resolution in pixels (dimensionless)
wpwidth resolution in pixels (dimensionless)
hpheight resolution in pixels (dimensionless)
Variables...
variable dp wp hp
units
= = =
solution
STEP 2 : PPI Calculation

Using the Diagonal Resolution from the previous formula we calculate the PPI for 3 corresponding screen sizes :

2. Pixels Per Inch (PPI)
PPIpixels per inch (1/inch)
dpdiagonal resolution in pixels (dimensionless)
didiagonal size in inches (this is the number advertised as the size of the display). (inch)
Variables...
variable PPI dp di
units
= = =
solution

Results:

10.1 inch tablet screen of resolution 1024×600 : 117.5PPI
21.5 inch PC monitor of 1080p resolution : 102.46PPI
27 inch PC monitor of 1440p resolution : 108.78PPI

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