Screen PPI Calculator Guide: Pixel Density Formula and Examples

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Calculate display pixels per inch from horizontal resolution, vertical resolution and diagonal size. Compare screens fairly and learn what PPI does not tell you.

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PPI formula for a display

PPI means pixels per inch. For a screen with horizontal resolution W pixels, vertical resolution H pixels and diagonal size D inches: PPI = √(W² + H²) ÷ D. The numerator is the pixel count along the diagonal; dividing by the physical diagonal gives pixels per inch.

For 1920 × 1080 at 24 inches, the diagonal resolution is √(1920² + 1080²) ≈ 2202.9 pixels. Divide by 24: about 91.8 PPI. Use the displayed active-area diagonal, not the bezel-to-bezel measurement.

Why resolution alone is not enough

The same pixel resolution produces a lower pixel density on a larger screen. A 27-inch 1920 × 1080 display therefore has fewer pixels per inch than a 24-inch display at the same resolution. To compare sharpness, keep the resolution and size inputs together; comparing only “1080p” or “4K” misses screen size.

Compare two screens consistently

Calculate each screen using its native resolution and diagonal. A higher PPI means more pixels fit into each linear inch, but perceived sharpness also depends on viewing distance, scaling, panel quality, content and eyesight. A PPI result is a specification comparison, not a guarantee that one screen will look better to every person.

PPI is not print DPI

PPI describes pixels per physical inch on a display. DPI is commonly used for printer dots per inch. The terms are related in some workflows but are not interchangeable descriptions of a monitor. A 300 PPI image printed at a different physical size has a different print resolution; changing the image metadata alone does not add pixels.

Use the PPI calculator

  1. Enter the screen’s horizontal and vertical pixel resolution.
  2. Enter its diagonal size in inches or convert centimetres to inches.
  3. Compare the result with another display at its own native resolution and size.

If you need the visible screen width or height for a desk layout, use the monitor dimensions calculator; PPI answers a different question.