Screen PPI & Size Calculator

Enter a screen’s resolution and diagonal to get its pixels per inch, pixel pitch, real width and height, and the distance at which its pixels disappear. Add a viewing distance for TVs, or read your own screen’s resolution.

Calculator Utilities Updated Oct 14, 2026
How to Use
  1. Enter the screen’s resolution (width and height in pixels), or type a name such as 1440p or 4K in the width box. On a computer, Use my screen fills in the display you are looking at.
  2. Enter the diagonal from the spec sheet, in inches or centimetres. A unit typed in the box, such as 68.6 cm, overrides the switch.
  3. Optionally add how far away you sit, in any unit: 24 in, 8 ft, 2.4 m.
  4. Read the pixel density, physical size, pixel pitch and the distance beyond which pixels blend together.
  5. For a computer screen, pick a Windows scaling setting to see how much desktop space you get and how large text will look.
Screen
pixels
pixels
optional
Presets
Size and sharpness
Pixel density
—
Width × height
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Pixel pitch
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Pixels vanish beyond
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Worked Example

A 27-inch 1440p monitor. The diagonal in pixels is √(2560² + 1440²) = √8,627,200 = 2,937.2. Divide by the 27-inch diagonal: 2,937.2 ÷ 27 = 108.79 pixels per inch. Each pixel is 25.4 ÷ 108.79 = 0.2335 mm across. The width is 27 × 2560 ÷ 2,937.2 = 23.53 in (59.8 cm) and the height 27 × 1440 ÷ 2,937.2 = 13.24 in (33.6 cm). A 20/20 eye resolves 1 arcminute, so single pixels blend together beyond 1 ÷ (108.79 × tan 1′) = 31.6 in (80 cm). At a desk distance of 24 in you are closer than that: 45.6 pixels per degree, sharp but not “retina”. The same panel at 4K is 163.18 PPI and 68.4 pixels per degree, past the 60 mark.

A 65-inch 4K TV from 8 ft. √(3840² + 2160²) = 4,405.8 pixels ÷ 65 = 67.78 PPI, and the screen is 56.65 × 31.87 in. At 96 in it shows 2 × 96 × tan 0.5° × 67.78 = 113.6 pixels per degree, nearly twice the 60 a 20/20 eye can resolve, and fills 2 × atan(56.65 ÷ 192) = 32.9° of your view, inside the 30–40° range. A 1080p screen of the same size would show 56.8 pixels per degree from there: just under the limit.

Show Work

Enter a resolution and a diagonal to see the step-by-step working.

PPI of Common Screens

Widths and heights are for 16:9 screens unless the resolution says otherwise. “Pixels vanish” is the distance beyond which 20/20 vision cannot see single pixels.

ScreenResolutionPPIPixel pitchWidth × heightPixels vanish beyond
21.5-inch monitor1920 × 1080102.50.248 mm18.7 × 10.5 in34 in
24-inch monitor1920 × 108091.80.277 mm20.9 × 11.8 in3.1 ft
24-inch 16:10 monitor1920 × 120094.30.269 mm20.4 × 12.7 in3.0 ft
27-inch monitor1920 × 108081.60.311 mm23.5 × 13.2 in3.5 ft
27-inch monitor2560 × 1440108.80.233 mm23.5 × 13.2 in32 in
27-inch monitor3840 × 2160163.20.156 mm23.5 × 13.2 in21 in
27-inch 5K monitor5120 × 2880217.60.117 mm23.5 × 13.2 in16 in
32-inch monitor3840 × 2160137.70.184 mm27.9 × 15.7 in25 in
34-inch ultrawide3440 × 1440109.70.232 mm31.4 × 13.1 in31 in
49-inch super ultrawide5120 × 1440108.50.234 mm47.2 × 13.3 in32 in
13.3-inch laptop2560 × 1600227.00.112 mm11.3 × 7.0 in15 in
14-inch laptop2560 × 1600215.60.118 mm11.9 × 7.4 in16 in
15.6-inch laptop1920 × 1080141.20.180 mm13.6 × 7.6 in24 in
43-inch TV3840 × 2160102.50.248 mm37.5 × 21.1 in34 in
55-inch TV3840 × 216080.10.317 mm47.9 × 27.0 in3.6 ft
65-inch TV3840 × 216067.80.375 mm56.7 × 31.9 in4.2 ft
75-inch TV3840 × 216058.70.432 mm65.4 × 36.8 in4.9 ft
85-inch TV3840 × 216051.80.490 mm74.1 × 41.7 in5.5 ft

Formulas

Pixels per inch
PPI = √(W² + H²) ÷ diagonal
W, H in pixels; diagonal in inches
Pixel pitch
pitch = 25.4 ÷ PPI mm
The distance from one pixel’s centre to the next
Physical size
width = diagonal × W ÷ √(W² + H²)
Height the same with H; assumes square pixels
Pixels vanish beyond
d = 1 ÷ (PPI × tan 1′) ≈ 3,438 ÷ PPI in
One pixel spans 1 arcminute, the detail 20/20 vision resolves
Pixels per degree
PPD = 2 × d × tan 0.5° × PPI
60 PPD is the same 1-arcminute limit
Viewing angle
θ = 2 × atan(width ÷ 2d)
Seat for angle θ: d = width ÷ (2 tan(θ/2))
Windows scaling
text size = 96 × scale ÷ PPI
Relative to a 96 PPI monitor at 100%; desktop looks like W ÷ scale × H ÷ scale

From 72 PPI to Retina

The first Macintosh in 1984 had a 9-inch screen of 512 × 342 pixels, about 72 per inch. That matched the printer’s point, 1/72 of an inch, so a 12-point letter on screen was the same size on paper. Windows chose 96 pixels per “logical inch” instead, slightly larger text for screens viewed from farther away, and that 96 is still the baseline: Windows scaling of 100% is 96 DPI, 125% is 120, 150% is 144 and 200% is 192.

For decades desktop monitors stayed close to those numbers, which is why most software assumed them. When phones and laptops reached two and three times the density, operating systems began drawing everything at 2× or 3× so text stayed the same physical size and simply became sharper. Apple named this “Retina” with the iPhone 4 in 2010: 326 pixels per inch, chosen so that at 10–12 inches a pixel is about 1 arcminute wide.

That arcminute comes from eye testing. Herman Snellen’s 1862 chart is built on letters whose strokes are 1 arcminute wide at the “normal” line, the line now called 20/20. It is a guide rather than a hard limit: many people, especially young ones, see better than 20/20, and fine edges and aliasing can be noticed beyond it. For TVs and cinemas the other question is how much of your view the screen should fill; SMPTE’s guideline for cinema design (EG 18-1994) asks for the screen to fill at least 30° of the view, and THX recommends about 36–40°.

About This Calculator

This calculator turns a resolution and a diagonal into what you can actually see: pixel density, pixel pitch, physical width and height, aspect ratio, and the distance beyond which single pixels blend together. With a viewing distance it adds pixels per degree and the angle the screen fills, and for TVs the screen size or seat that gives a 30° or 40° view. For computers it shows what each Windows scaling setting does to desktop space and text size.

Use my screen reads the resolution your browser reports for the display it is on, multiplied by its scaling factor; set the browser zoom to 100% first. Browsers do not report physical size, so the diagonal must come from the spec sheet. Everything runs in your browser and nothing is sent anywhere.

Related tools: Aspect Ratio Calculator, Dead & Stuck Pixel Test and the Video & Display Connector Chart.

Frequently Asked Questions

What is a good PPI for a monitor?

At normal desk distance, about 90–110 PPI gives classic-size text with no scaling: a 24-inch 1080p screen is 91.8 PPI and a 27-inch 1440p screen is 108.8. Higher densities look sharper but need scaling: a 27-inch 4K screen is 163.2 PPI, so at 100% text is only 0.59 times the classic size, and around 150–175% looks normal.

Is 4K worth it on a TV?

It depends on size and distance. On a 65-inch screen, 20/20 vision stops seeing 4K’s pixels beyond about 4.2 ft and 1080p’s beyond about 8.4 ft. From a couch at 8 ft, 1080p is already close to the limit, so the extra sharpness of 4K is small; it matters more on bigger screens or closer seats. Better HDR and colour are separate from resolution.

Why doesn’t my result match the spec sheet?

Advertised diagonals are rounded: a “27-inch” monitor may have a 26.9-inch viewable area, and phone makers measure the screen as a full rectangle even though the corners are rounded. A small difference in the diagonal moves the PPI by the same percentage; use the exact viewable size from the data sheet if you have it.

What is the difference between PPI and DPI?

PPI counts the pixels per inch on a screen. DPI is strictly for printers, which build each pixel out of many ink dots. People often say DPI for screens anyway, and Windows calls its scaling setting DPI: 100% scaling is 96 DPI, 125% is 120, 150% is 144 and 200% is 192.

How far should I sit from my TV?

A common rule is to make the screen fill 30–40° of your view: 30° is the minimum in SMPTE’s cinema guideline, and THX recommends about 36–40°. For a 65-inch 16:9 screen that is about 8.8 ft for 30° and 6.5 ft for 40°. Enter your distance and the calculator shows the angle and the screen size that would fill 30° or 40°.

How do I use the Screen PPI & Size Calculator?

Simply type your numbers and read the result, which refreshes the instant you change something. There is nothing to submit and nothing to wait for.

Do I need to install or sign up for anything?

Not at all — it runs in the browser with nothing to install and no account. After it loads once, it even works without an internet connection.

Is my information private?

Yes. Everything happens in your browser. Nothing you type is sent to a server or saved anywhere.

Common Use Cases

Choosing a monitor

27-inch 1440p is 108.8 PPI and works at 100%; 27-inch 4K is 163.2 PPI and needs about 150–175% scaling, which leaves the desktop space of 2560 × 1440 at 150%.

Picking a TV size

A 65-inch TV at 8 ft fills 32.9° of your view, inside the 30–40° range; a 55-inch at 9 ft fills only 25°.

Laptop scaling

A 15.6-inch 1080p laptop is 141 PPI: at 100% text is 0.68 times the classic size, while 150% brings it back to 1.02.

Real-world size for designs

Pixel pitch tells you how big a 44-pixel button really is: 44 × 0.2335 mm = 10.3 mm on a 27-inch 1440p screen.

Phones and tablets

A 6.1-inch 2556 × 1179 phone is about 461 PPI; at 12 inches its pixels are far below what the eye can resolve.

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