Quick Answer
PPI = √(width² + height²) ÷ diagonal in inches. A 27-inch monitor at 2560 × 1440 has a pixel diagonal of 2,937.2, so its PPI is 108.79. The same size at 4K is 163.18 PPI.
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Table of Contents
- PPI Calculator
- Quick Answer
- Related Calculators
- How This PPI Calculator Works
- How to Use the PPI Calculator
- Core Formulas
- Key Terms
- Worked Example
- Real-Life Examples
- PPI vs DPI
- PPI of Common Screens
- Choosing a Screen
- Viewing Distance and Sharpness
- Common Mistakes to Avoid
- Frequently Asked Questions
- References & Sources
How This PPI Calculator Works
Enter the screen’s resolution in pixels and its diagonal size. The calculator uses the Pythagorean theorem to find the diagonal length in pixels, then divides by the diagonal in inches to get pixels per inch. From that it works out the dot pitch, the physical width and height of the screen, its area, its aspect ratio and the total number of pixels.
Quick explanation: PPI tells you how sharp a screen looks.
- Higher PPI: smaller pixels and sharper text.
- Same resolution, bigger screen: lower PPI.
- Viewing distance: matters too. TVs are watched from farther away than phones.
How to Use the PPI Calculator
- Enter the horizontal resolution in pixels.
- Enter the vertical resolution.
- Enter the diagonal size and choose inches or cm.
- Press Calculate.
- Read the PPI, dot pitch and screen size.
Core Formulas
- Diagonal in pixels: √(width² + height²)
- PPI: diagonal in pixels ÷ diagonal in inches
- Dot pitch (mm): 25.4 ÷ PPI
- Screen width (in): horizontal pixels ÷ PPI
- Screen height (in): vertical pixels ÷ PPI
Key Terms
- PPI: pixels per inch, the pixel density of a screen.
- Resolution: the number of pixels across and down.
- Dot pitch: the distance between pixel centers, in millimeters.
- Diagonal: the screen size measured corner to corner.
- Native resolution: the real number of pixels a screen has.
Worked Example
Find the PPI of a 24-inch 1080p monitor.
- Diagonal in pixels = √(1920² + 1080²) = 2,202.9
- PPI = 2,202.9 ÷ 24 = 91.79
- Dot pitch = 25.4 ÷ 91.79 = 0.2767 mm
Real-Life Examples
- Comparing monitors: a 27-inch 1440p has 109 PPI and a 32-inch 4K has 138 PPI.
- TV shopping: a 65-inch 4K TV has 68 PPI.
- Laptops: a 15.6-inch 1080p screen has 141 PPI.
- Desk space: find the screen’s real width and height before you buy.
PPI vs DPI
- PPI (pixels per inch): describes screens and digital images.
- DPI (dots per inch): describes printers, which use many ink dots per pixel.
- In everyday use: people often say DPI for both.
PPI of Common Screens
| Screen | Resolution | PPI |
|---|---|---|
| 24-inch 1080p monitor | 1920 × 1080 | 91.8 |
| 27-inch 1440p monitor | 2560 × 1440 | 108.8 |
| 27-inch 4K monitor | 3840 × 2160 | 163.2 |
| 32-inch 4K monitor | 3840 × 2160 | 137.7 |
| 55-inch 4K TV | 3840 × 2160 | 80.1 |
| 65-inch 4K TV | 3840 × 2160 | 67.8 |
| 15.6-inch 1080p laptop | 1920 × 1080 | 141.2 |
| 6.1-inch phone, 2532 × 1170 | 2532 × 1170 | 457.3 |
Choosing a Screen
- Desk monitors: many people find around 90 to 110 PPI comfortable at normal scaling.
- High PPI monitors: 4K at 27 inches often needs display scaling for readable text.
- Phones: are held close, so they use very high PPI.
- TVs: lower PPI is fine because you sit farther away.
Viewing Distance and Sharpness
Whether you can see single pixels depends on both PPI and how far away you sit. A person with 20/20 vision can pick out details about 1 arcminute (1/60 of a degree) across. Pixels smaller than that, as seen from your seat, blend into a smooth image.
- Blend distance (in): about 3,438 ÷ PPI
- 27-inch 1440p: 109 PPI, so pixels blend beyond about 32 inches
- 65-inch 4K TV: 68 PPI, so pixels blend beyond about 4.2 feet
This is only a guide. Eyesight, content and screen quality all change how sharp a picture looks, but it explains why a large TV can look sharp from the sofa while a monitor of the same resolution looks soft up close.
Common Mistakes to Avoid
- Using the case size. Use the visible screen diagonal.
- Swapping width and height. It does not change PPI, but it changes the width and height shown.
- Mixing centimeters and inches. Choose the right unit for the diagonal.
- Judging by PPI alone. Viewing distance and panel quality matter too.
- Using scaled resolution. Enter the native resolution of the panel.
Frequently Asked Questions
PPI = √(width² + height²) ÷ diagonal in inches.
About 109.
About 92.
It depends on viewing distance. Phones use very high PPI, while TVs can be lower because you sit farther away.
The size of one pixel, in millimeters: 25.4 ÷ PPI.
Not quite. PPI is for screens, DPI for printers, but people often mix them up.
Not at the same resolution. A bigger screen spreads the same pixels over more space.
Check the display settings on your device or the product specifications.
Yes. Choose centimeters as the unit.
A marketing term for screens with PPI high enough that pixels are hard to see at normal distance.
Divide the horizontal pixels by the PPI.
Its pixels are small, so text would be tiny at 100% scaling.
References & Sources
| Source | Used For | Link |
|---|---|---|
| Wikipedia, Pixel density | The PPI formula and typical values. | https://en.wikipedia.org/wiki/Pixel_density |
| Wikipedia, Dot pitch | How dot pitch relates to pixel size. | https://en.wikipedia.org/wiki/Dot_pitch |