- 1 Pixels per Inch Has No Single Solution
- 2 How to Work Out How Many Pixels Are in One Inch
- 3 Calculate the Size of an Image for Use on Another Device
- 4 Identify the Image Size That Will Print in Full Resolution
- 5 Some Frequently Asked Questions
- 6 Final Words
The pixels density, or PPI, of a display is the number of pixels it has per inch. It is a measurement of how many pixels would be present in one inch of your display, whether they are horizontal or vertical. Now that you are aware of your display’s PPI, what good does it do? You’re done if you were merely curious! However, as we mentioned in the opening, a gadget or display PPI is typically just the first of two phases that lead to something far more useful.
Pixels per Inch Has No Single Solution
The number of pixels in an inch would be known if all pixels were the same size, just like how many centimeters there are in an inch (2.54), or how many inches there are in a foot (12). The answer is 58.74 pixels per inch on a 75-inch 4K television, for example, but 440.58 pixels per inch on a 5″-inch full HD smartphone screen since pixels vary in size on different displays. To put it another way, the size and resolution of the screen you’re referring to determine how many pixels per inch, therefore we’ll need to do some math to find the figure you need for yours.
How to Work Out How Many Pixels Are in One Inch
We’ve already done the legwork for you for a number of displays in the Pixels Per Inch Table at the bottom of the page, so don’t worry about that before we get into what appears to be complex math (it isn’t, don’t worry).
If you know the PPI of your display, proceed to How to Use Your Pixels per Inch Number; if not, we’ll calculate it right now using a few straightforward mathematical procedures.
In any event, you’ll need to know the diagonal display size in inches as well as the screen resolution. On your display or device’s technical specifications page, you can find both of these numbers. If you need assistance tracking this down, visit our post on where to get manufacturer tech support details.
If you’re a math whiz, you can skip to the step-by-step instructions after reading the whole equation below:
ppi = (√(w²+h²))/d
where d is the diagonal size of the screen in inches, w is the width resolution in pixels, h is the height resolution in pixels, and ppi is the desired pixels per inch.
Here’s how to do this using a 60″ 4K (3840×2160) screen as an example in case you slept through the order of operations chapter in math class:
- 38402 Equals 14,745,600 when the width pixels are squared.
- 21602 Equals 4,665,600 when the height pixels are squared.
- The sum of those figures is: 14,745,600 + 4,665,600 = 19,411,200
- Take that number’s square root: √(19,411,200) = 4,405.814
- Multiplying that result by the screen’s diagonal length yields: 4,405,814 / 60 = 73.43
We calculated the pixels per inch on a 60″ 4K display to be 73.43 PPI in just five easy steps. Now all you have to do is repeat those five procedures using your display and the resolution and size of your screen.
Now that you are aware of your display’s PPI, what good does it do? You’re done if you were merely curious! However, as we mentioned in the opening, a gadget or display PPI is typically just the first of two phases that lead to something far more useful.
Calculate the Size of an Image for Use on Another Device
It’s time to put your knowledge about your screen or gadget PPI to good use. Even though you’ll be exhibiting an image on an 84-inch 4K UHD display (52.45 PPI) in the office next week, you may produce or edit it on your 17-inch laptop’s HD screen (129.584 PPI). How can you be certain that the image is being made in a size or with the appropriate level of detail?
You must first be aware of the device’s or display’s PPI in order to respond to this query. You can find one or both of the numbers in the table below, which is where we learned how to accomplish it in the previous part. Additionally, you must be aware of the image’s horizontal and vertical pixel size. It need to be simple to locate in your graphics application since you’re the one who created or edited that.
The directions are below, but if you’re motivated, here are the whole equations:
hsize = w/ppi
vsize = h/ppi
…where w is the image’s width in pixels, h is its height in pixels, and ppi is the PPI of the other display, and hsize and vsize are the image’s horizontal and vertical sizes in inches, respectively, on the other display.
If your image is 950×375 pixels in size and you want to display it on an 84-inch 4K (3840×2160) screen (52.45 PPI), follow these steps:
- 950 / 52.45 = 18.11 inches when the width is divided by the PPI.
- 375 / 52.45 = 7.15 inches when the height is divided by the PPI.
Here, we demonstrated that an image of 950×375 pixels will appear to be 18.11″ by 7.15″ on an 84-inch 4K TV, regardless of how “large” or “little” it may appear to be on your screen.
Now that you know that information, you may use it however you see fit. Perhaps that is exactly what you were looking for, or perhaps that is not large enough given that an 84-inch screen is around 73 inches wide and 41 inches tall!
Identify the Image Size That Will Print in Full Resolution
To determine how big an image will be on paper, you don’t need to calculate your device’s or display’s PPI.
There are only three pieces of information you need to be aware of: the horizontal and vertical pixel dimensions and the PPI of the image. The image’s characteristics, which you may locate in your graphics editing tool, contain all three bits of information.
The formulas are as follows:
hsize = w/ppi
vsize = h/ppi
…where w is the image’s width in pixels, h is its height in pixels, and ppi is the image’s PPI. These values represent the image’s horizontal and vertical print sizes in inches, respectively.
If your image is 375×148 pixels in size and has a 72 PPI, follow these steps to achieve it:
- PPI = 375 / 72 = 5.21 inches when the width is divided by PPI.
- PPI = 148 / 72 = 2.06 inches when height is divided by PPI.
The image will be printed at a physical size of 5.21 by 2.06 inches, assuming that you don’t scale it while printing. Make the calculations using an existing image, then print them out – it always works!
No matter what DPI setting your printer has—300, 600, 1200, etc.—the image will print at the same size. This figure, which closely resembles PPI and indicates the “quality” with which the image given to the printer is printed, shouldn’t be taken into account when determining the appropriate image size.
|PPI Cheat Sheet|
|Size (in)||8K UHD (7680×4320)||4K UHD (3840×2160)||Full HD (1920×1080)|
Naturally, not every gadget or screen is exactly 8K UHD, 4K UHD, or Full HD (1080p). Here is another table that lists several well-known gadgets with unusual resolutions along with their determined PPI:
|PPIs for Popular Devices|
|Device||Size (in)||Resolution (x/y)||PPI|
|Dell Venue 11 Pro||10.8||1920×1080||203.972|
|Google Pixel 5a||6.34||1080×2400||415.111|
|Google Pixel 6||6.4||1080×2400||411.220|
|Google Pixel 6 Pro||6.7||1440×3120||512.877|
|Google Pixelbook Go||13.3||3840×2160||331.264|
|HTC Wildfire E3||6.52||720×1560||263.518|
|iPad Mini Retina||8.3||2266×1488||326.613|
|iPhone 13/12 Pro & 13/12||6.1||2532×1170||457.254|
|iPhone 13 Pro Max||6.7||2778×1284||456.773|
|LG G8X ThinQ||6.4||1080×2340||402.689|
|MacBook Air 11||11.6||1366×768||135.094|
|MacBook Air 13||13.3||1440×900||127.678|
|MacBook Pro (2020)||13.3||2560×1600||226.983|
|MacBook Pro (2021)||16.2||3456×2234||254.023|
|OnePlus 9 Pro||6.7||3216×1440||525.921|
|OnePlus Nord N200||6.49||1080×2400||405.517|
|Samsung Galaxy Note 20 Ultra||6.9||3088×1440||493.804|
|Samsung Galaxy S21+||6.7||1080×2400||392.807|
|Samsung Galaxy Tab S7+||12.4||1752×2800||266.367|
|Samsung Galaxy Z Flip 3||6.7||2640×1080||425.726|
|Samsung Galaxy Z Fold 3||7.6||2208×1768||372.187|
|Sony Xperia 5 III||6.1||1080×2520||449.455|
|Surface Book 3||15||3240×2160||259.600|
|Surface Go 3||10.5||1920×1280||219.767|
|Surface Laptop Studio||14.4||2400×1600||200.308|
|Surface Pro 8||13||2880×1920||266.256|
Some Frequently Asked Questions
How do I translate pixels into inches?
Divide the total number of pixels by the PPI (pixels per inch) parameter of the display. For instance, 200 pixels on a screen with 81 PPI would be 200 / 81 = 2.5 inches.
At 300 dpi, how many pixels are there per inch?
Dots per inch (DPI) and pixels per inch (PPI), which are interchangeable but applied to various devices, are the same measurement. In printers, where dots are used to create the text and graphics, DPI is used. Screens (monitors, phones, etc.) that use pixels to create images use PPI.
How many pixels are there in a single inch?
The PPI (pixels per inch) of the screen in question determines the answer. A 27-inch 1080p monitor, for instance, contains 81 pixels per inch of the screen. The screen is 13.2 inches high, according to measurements. Thus, 1080 / 13.2 is 81 PPI (rounding down to the nearest pixel).
On an iPhone 13, how many pixels make up an inch?
In 460 pixels. The 6.1-inch (diagonal) screen of the iPhone 13 has a resolution of 2532 x 1170 pixels and a pixel density of 460. (pixels per inch).
If you were unable to locate your resolution or device, don’t panic. No matter the size or quality of your device, you can use the arithmetic we just discussed to determine how many pixels there are in an inch.
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