Calculator Tools
PPI Calculator
Calculate screen pixel density (PPI) from resolution and diagonal size. See dot pitch, total pixels, megapixels, and a sharpness grade. No signup.
Common displays
What do you want to find?
The diagonal is the corner to corner measurement, the number used to describe a TV or monitor size.
Pixel density
108.79PPI
Dot pitch
0.2335mm
Centre to centre pixel spacing
Total pixels
3,686,400px
3.69 megapixels
Diagonal resolution
2937.2px
Pixels corner to corner
Display width
23.53in
59.77 cm wide
Display height
13.24in
33.62 cm tall
Megapixels
3.69MP
Width times height
Summary
108.79 PPI for 2,560 x 1,440 on a 27 inch screen
Common display densities
Approximate PPI for familiar screens, rounded to whole numbers.
| Display | Resolution | Size | Density |
|---|---|---|---|
| 1080p 24" monitor | 1920 x 1080 | 24" | 92 PPI |
| 1440p 27" monitor | 2560 x 1440 | 27" | 109 PPI |
| 4K 27" monitor | 3840 x 2160 | 27" | 163 PPI |
| 4K 32" monitor | 3840 x 2160 | 32" | 138 PPI |
| 14" laptop | 3024 x 1964 | 14.2" | 254 PPI |
| Typical phone | 2556 x 1179 | 6.1" | 460 PPI |
Figures are rounded. Run your exact resolution and diagonal above for the precise number.
How the math works
- The pixel diagonal of the screen is the square root of width squared plus height squared, the same Pythagorean step a TV size uses.
- Pixel density is that pixel diagonal divided by the physical diagonal in inches, so PPI equals sqrt(width^2 + height^2) divided by the diagonal.
- Dot pitch in millimetres is 25.4 divided by the PPI, since there are 25.4 millimetres in an inch.
- Physical width and height come from dividing each pixel count by the PPI, which is why two screens with the same resolution but different sizes have different densities.
- PPI describes density, not perceived sharpness. A wall mounted TV viewed from across a room can look crisp at a low PPI, while a phone held close needs a much higher one.
PPI is pixels per inch on a screen. DPI is dots per inch in print. For print sizing, see the DPI Calculator in the related tools below.
How to use
- Pick a common display preset, or type your own resolution as width in pixels and height in pixels.
- Leave the mode on Pixel density, then enter the screen diagonal in inches, the corner to corner size used to describe a monitor or TV.
- Read the PPI result along with dot pitch, total pixels, megapixels, physical size, and a density grade.
- Use Swap if you entered width and height the wrong way round, or tap Clear to start over.
- Switch to Screen size for a target PPI, enter a target density, and read the diagonal a panel would need at that resolution.
- Copy any single value or the summary. Everything is calculated in your browser with no upload.
About this tool
PPI Calculator works out the pixel density of a screen from two numbers anyone can find on a spec sheet: the resolution in pixels and the diagonal size in inches. PPI means pixels per inch, the count of pixels packed into one inch of a display, and it is the figure that decides whether a screen looks crisp or whether you can see individual pixels up close. The math is plain geometry. A display that is W pixels wide and H pixels tall has a diagonal of sqrt(W^2 + H^2) pixels, and spreading that pixel diagonal over a physical diagonal of D inches gives PPI = sqrt(W^2 + H^2) / D. From that single result the tool derives everything else a display calculator is expected to report. Dot pitch, the centre to centre distance between neighbouring pixels, is 25.4 divided by the PPI because there are 25.4 millimetres in an inch. The physical width and height in inches and centimetres come from dividing each pixel count by the PPI, which is exactly why two screens at the same resolution but different sizes have different densities: a 1080p panel at 24 inches is sharper than the same 1080p panel at 32 inches. The tool also reports total pixels and megapixels and the full diagonal resolution in pixels, then assigns a descriptive density band, from standard density through high density and retina class up to ultra high density, with a clear reminder that perceived sharpness depends on viewing distance and not on PPI alone. A wall mounted television seen from across a room can look perfectly crisp at a low PPI, while a phone held at reading distance needs a far higher one to hide its pixels. A second mode answers the reverse question people search for just as often: given a resolution and a target PPI, how large or small does the diagonal need to be? That is the same formula rearranged to D = sqrt(W^2 + H^2) / target PPI, which is handy when choosing a monitor size that will hit a density you like, or checking whether a given panel can reach retina class. Presets load common displays, from 1080p and 1440p and 4K monitors at popular sizes to a typical laptop, phone, and tablet, so you can confirm the tool against hardware you already know, and a reference table lists the approximate density of those familiar screens. A note worth keeping in mind: PPI describes pixels per inch on a screen, while DPI describes dots per inch in printing, so the two are not interchangeable even though people often say DPI when they mean PPI. For sizing an image for print at a chosen DPI, the DPI Calculator in the related tools is the right tool. Everything here is computed locally in your browser using simple arithmetic. The resolution, diagonal, and target values you type are never uploaded, never logged, and never leave your device.
Free to use. Works in your browser. No signup, no login.
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