PPI Calculator – Pixel Density & Screen Size Tool

Display Calculator
PPI Calculator

Calculate pixel density, screen dimensions, and resolution. Enter any two values to compute the rest.

Enter 2 of the following: Resolution, Diagonal, Physical Size, or PPI
PPI = √(W² + H²) ÷ Diagonal
Inputs
px
×
px
:
inch
=
cm
cm
×
cm
ppi
PIXELS PER INCH
Pixel Pitch
Aspect Ratio
Width
Height
Resolution
Diagonal
Display Calculator

PPI Calculation Formulas

Mathematical foundations for pixel density and display dimension calculations.

1PPI from Resolution & Diagonal
Calculate pixel density using screen resolution and diagonal size.
Diagonal (px) = √(Width² + Height²)
PPI = Diagonal (px) ÷ Diagonal (inch)
Most common calculation method
2Pixel Pitch
Physical distance between pixel centers in micrometers.
Pixel Pitch (µm) = 25,400 ÷ PPI
Pixel Pitch (mm) = 25.4 ÷ PPI
Lower pitch = sharper display
3Physical Dimensions
Calculate screen width and height from diagonal and aspect ratio.
θ = arctan(H ÷ W)
Width = Diagonal × cos(θ)
Height = Diagonal × sin(θ)
W:H represents aspect ratio
4Unit Conversions
Convert between inches and centimeters.
1 inch = 2.54 cm
1 cm = 0.3937 inch
Standard conversion factor
Common Resolutions
  • HD: 1280 × 720 (720p)
  • Full HD: 1920 × 1080 (1080p)
  • QHD: 2560 × 1440 (1440p)
  • 4K UHD: 3840 × 2160 (2160p)
  • 5K: 5120 × 2880
  • 8K UHD: 7680 × 4320
Display Calculator

Understanding PPI

Learn about pixel density, its impact on display quality, and how to choose the right PPI for your needs.

What is PPI?
Pixels Per Inch

PPI (Pixels Per Inch) measures how many pixels fit into one linear inch of a display. Higher PPI means more pixels are packed into the same space, resulting in sharper images and text.

PPI is calculated by dividing the diagonal pixel count by the diagonal physical size in inches. It’s a key metric for evaluating display sharpness.

Smartphone300-500+ PPI
Laptop100-300 PPI
Desktop Monitor80-160 PPI
Retina & HiDPI
High Pixel Density Displays

Apple’s “Retina” display refers to screens where individual pixels are indistinguishable at typical viewing distances. This generally means 300+ PPI for handheld devices and 220+ PPI for laptops.

HiDPI (High Dots Per Inch) is a similar concept used across platforms. Modern operating systems use UI scaling to maintain readable interface sizes on high-PPI screens.

iPhone 15 Pro460 PPI
MacBook Pro 14″254 PPI
iPad Pro 12.9″264 PPI
Viewing Distance
PPI vs Distance Trade-off

The required PPI depends heavily on viewing distance. A 4K TV at 10 feet doesn’t need as high PPI as a smartphone held 12 inches away, because angular resolution matters more than absolute PPI.

For most users, 110+ PPI at arm’s length (desktop monitors) provides a good experience. Closer devices like phones benefit from 300+ PPI for truly sharp text and images.

Phone (10-15″)300+ PPI ideal
Monitor (20-30″)100-150 PPI
TV (6-10 ft)40-80 PPI
Pixel Pitch
Physical Pixel Size

Pixel pitch is the center-to-center distance between adjacent pixels, usually measured in millimeters or micrometers. Lower pixel pitch means higher PPI and sharper images.

Professional monitors for photo/video editing typically have pixel pitches around 0.2-0.3mm. LED video walls for events might have 1-10mm pitch depending on viewing distance.

300 PPI~85 µm pitch
150 PPI~170 µm pitch
100 PPI~254 µm pitch