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Screen PPI & Display Calculator

Whether buying a gaming monitor, smartphone, laptop, or 4K television, pixel density (Pixels Per Inch) determines sharpness and clarity.

Width in pixels (e.g. 1920 for 1080p, 2560 for 1440p, 3840 for 4K).

Height in pixels (e.g. 1080 for 1080p, 1440 for 1440p, 2160 for 4K).

Diagonal viewable screen measurement in inches.

Calculated Result
108.8 PPI

Pixel Density

Pixel Density (PPI)

108.8 PPI

Dot Pitch

0.2335 mm

Total Pixels

3,686,400 (3.69 MP)

Diagonal Pixels

2,937 px

Calculation Breakdown

  1. Diagonal Pixel Count (Pythagorean Theorem)√(2560² + 1440²) = 2,937.2 pxd_{\text{px}} = \sqrt{W^2 + H^2}
  2. Pixels Per Inch (PPI)2,937.2 px ÷ 27 inches = 108.8 PPI\text{PPI} = \frac{d_{\text{px}}}{\text{Diagonal}_{\text{in}}}

PPI Across Popular Form Factors

Interactive visualization based on your current inputs

Pixel Density (PPI)
0.06412719125455" 4K TV24" 1080p Monitor27" 1440p Monitor27" 4K Monitor16" MacBook ProDisplay DevicePPI

What Is the Screen PPI & Display Calculator?

Pixel density measures the concentration of individual picture elements per linear inch of display surface.

How Does the Screen PPI & Display Calculator Work?

Calculates diagonal resolution via Pythagorean theorem and divides by physical diagonal length in inches.

Screen PPI & Display Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

\text{PPI} = \frac{\sqrt{W^2 + H^2}}{\text{Diagonal}_{\text{inches}}}

Uses the Pythagorean theorem to compute diagonal pixels, divided by diagonal screen size.

How to Use the Screen PPI & Display Calculator

  1. Enter screen resolution (e.g., 2560×1440) and diagonal measurement (e.g., 27").

Step-by-Step Example Calculation

27-inch 1440p display

Input Values:

width:2560
height:1440
diagonal:27
Worked Steps: A 27-inch 1440p monitor has a pixel density of ~108.8 PPI (0.233 mm dot pitch).

Understanding Your Result

Values above 100 PPI offer comfortable desktop clarity; 200+ PPI delivers Apple Retina-grade sharpness.

Factors That Affect the Result

  • Viewing distance: phones viewed at 12 inches require ~300+ PPI, while TVs viewed at 8 feet need only ~60–80 PPI.

When Should You Use This Calculator?

  • Buying a computer monitor, sizing UI typography for mobile apps, and selecting television displays.

Assumptions & Limitations

  • Assumes standard square subpixels (1:1 pixel aspect ratio).

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard display geometry formula.

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