PPI & Pixel Density Calculator
Enter a resolution and screen size to get exact pixel density (PPI), dot pitch, physical dimensions, megapixels, and whether the display is Retina-sharp at your viewing distance. Compare any phone, laptop, monitor or TV before you buy. No signup, sources cited below.
How it works
Pixel density is a fixed geometric identity, not a matter of opinion. A screen's sharpness comes from how many pixels are packed into each physical inch, and that follows directly from Pythagoras.
- Diagonal pixel count. The diagonal spans
dp = √(width² + height²)pixels. For 1920×1080 that is √(1920² + 1080²) = 2202.9 pixels. - PPI. Divide the diagonal pixels by the diagonal size in inches:
PPI = dp ÷ diagonal_inches. Pixels per centimetre is simply PPI ÷ 2.54. If you enter the diagonal in centimetres, it is converted at 2.54 cm per inch first. - Dot pitch.One pixel's physical width in millimetres is
25.4 ÷ PPI(there are 25.4 mm in an inch). - Physical size & megapixels. Width is
width_px ÷ PPIinches (height likewise), and megapixels is width × height ÷ 1,000,000. - Pixels per degree (PPD). At a viewing distance d inches, one degree of vision subtends
d × (π ÷ 180)inches of screen, soPPD = PPI × d × (π ÷ 180). - Retina verdict. Human 20/20 acuity resolves about one arc-minute, i.e. 60pixels per degree — the basis Apple uses for “Retina”. When PPD ≥ 60 the screen is Retina-sharp where you sit; otherwise the tool reports the minimum distance
60 ÷ (PPI × π ÷ 180)at which it becomes sharp.
Each PPI figure is cross-checked by a second, independent route: the physical width equals diagonal × cos θ, where θ = atan2(height, width), so PPI = width_px ÷ physical_width. That trigonometric path is algebraically identical to the diagonal formula — when both agree to the pixel, the result is verified. Every preset in the comparison table computes its own PPI the same way, reconciled to the manufacturer's published density.
Worked examples
Frequently asked questions
Sources & references
- VESA — display standards & display metrology (geometric PPI definition)
- Apple — iPhone 15 technical specifications (460 ppi cross-check)
- Apple Human Interface Guidelines — points, pixels & Retina scale
- Retina display — the 1-arcminute / 60-pixels-per-degree acuity basis
The formulas and the Retina acuity constant on this page were last reconciled against these sources on 2026-07-11. Preset densities are checked against current Apple, Samsung, Dell and LG spec sheets.
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Comments & feedback
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