PPI Calculator
Calculate the pixel density (PPI) of a display from its resolution and diagonal screen size.
This free online ppi calculator provides instant results with no signup required. All calculations run directly in your browser — your data is never sent to a server. Enter your values below and see results update in real time as you type. Perfect for everyday calculations, homework, or professional use.
Number of horizontal pixels
Number of vertical pixels
Diagonal screen size in inches
Results
Pixels Per Inch
108.8 PPI
Diagonal Resolution
2937 px
How to Use This Calculator
Enter your input values
Fill in all required input fields for the PPI Calculator. Most fields include unit selectors so you can work in your preferred unit system — metric or imperial, whichever matches your problem.
Review your inputs
Double-check that all values are correct and that you have selected the right units for each field. Incorrect units are the most common source of calculation errors and can produce results that are off by factors of 2, 10, or more.
Read the results
The PPI Calculator instantly computes the output and displays results with units clearly labeled. All calculations happen in your browser — no loading time and no data sent to a server.
Explore parameter sensitivity
Try adjusting individual input values to see how the output changes. This is a quick and effective way to develop intuition about how different parameters influence the result and to identify which inputs have the largest effect.
When to Use This Calculator
- •Use the PPI Calculator when you need accurate results quickly without the risk of manual computation errors or unit conversion mistakes.
- •Use it to verify calculations made by hand or in spreadsheets — an independent check can catch errors before they lead to costly decisions.
- •Use it to explore how changing input parameters affects the output — a quick way to develop intuition and identify the most influential variables.
- •Use it when collaborating with others to ensure everyone is working from the same numbers and applying the same assumptions.
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About PPI Calculator
The PPI (Pixels Per Inch) Calculator determines the pixel density of any display. Pixel density measures how many pixels are packed into each inch of screen space and directly affects image sharpness and text clarity. Higher PPI values produce sharper images, which is why smartphone screens with 400+ PPI look razor-sharp compared to desktop monitors at 100 PPI. This calculator is essential for display comparisons, print design, and choosing the right monitor for your needs.
The Math Behind It
Formula Reference
PPI Formula
PPI = sqrt(width^2 + height^2) / diagonal
Variables: width = horizontal resolution in pixels, height = vertical resolution in pixels, diagonal = screen diagonal in inches
Worked Examples
Example 1: 27-inch QHD monitor PPI
A 27-inch monitor with 2560 x 1440 resolution.
The monitor has approximately 108.8 PPI, which is standard for desktop use at arm's length.
Common Mistakes & Tips
- !Using the horizontal or vertical dimension instead of the diagonal for the screen size.
- !Confusing PPI with DPI; PPI is for screens and DPI is for printers.
- !Assuming higher PPI always means a better display without considering color accuracy and contrast.
Related Concepts
Used in These Calculators
Calculators that build on or apply the concepts from this page:
Frequently Asked Questions
What PPI do I need for sharp text?
For desktop monitors viewed at 24-30 inches, 110+ PPI provides clear text. For laptops viewed closer, 150+ PPI is ideal. For smartphones, 300+ PPI is the standard for sharp text.
Is 4K always better than 1080p?
Not necessarily. On a small screen, you may not notice the difference. A 24-inch 4K monitor has 184 PPI while a 24-inch 1080p has 92 PPI. The benefit depends on viewing distance and visual acuity.
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