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PPI Calculator

Enter the horizontal and vertical resolutions, diagonal screen size, and select the device to calculate pixels per inch (PPI) with this tool.

Horizontal Regulation:

pixels

Vertical Resolution:

pixels

Diagonal Screen Size:

in ▾

Optional

Tablets:

Phones:

Computers:

Related

The PPI calculator helps you find the pixels per inch (PPI), dots per inch (DPI), and display size for any selected device. It is essential for understanding the clarity and sharpness of screens and printed images.

This DPI calculator helps determine the dots per inch (DPI) of an image, representing the number of printed dots in one inch. Knowing the DPI ensures images are printed with precision and quality.

What is the PPI Formula?

PPI (Pixels Per Inch) measures the pixel density of a screen or image. To calculate PPI, divide the diagonal length in pixels by the diagonal length in inches. You can also use our PPI calculator to get accurate pixel density instantly.

PPI Formula:

PPI = diagonal in Pixels / diagonal in Inches
PPI = d_p / d_i

Formula for Diagonal Length in Pixels:

To calculate the diagonal length in pixels:

d_p = √(width² + height²)

Where:

d_p = Length of the diagonal in pixels

How to Use the Pixel Per Inch (PPI) Calculator:

Our pixel density calculator is user-friendly. Follow these steps to calculate PPI and DPI accurately:

Inputs:

Enter the screen width in pixels in the field labeled “Horizontal Resolution.”
Enter the screen height in pixels in the field labeled “Vertical Resolution.”
Enter the diagonal screen size in inches in the field labeled “Diagonal Screen Size.”
Select your device type from the dropdown menu (computer, phone, or tablet).
Click the Calculate button to get results.

Outputs:

Pixels Per Inch (PPI)
Dot pitch
Display size
Total pixels of the screen
Pixel per square inch (PPI²)
Diagonal length
Aspect ratio

How to Calculate PPI Manually (Step-By-Step)?

To calculate PPI manually, first find the total number of pixels along the diagonal using this formula:

d_p = √(width² + height²)

Where:

width = Number of pixels along the horizontal edge of the screen
height = Number of pixels along the vertical edge of the screen

Once you have the diagonal pixel count, calculate PPI:

PPI = d_p / d_i

Where: d_i is the diagonal screen size in inches.

Example:

Suppose a screen has a resolution of 1800 pixels horizontally and 900 pixels vertically, and the diagonal screen size is 20 inches. Calculate its PPI.

Solution:

Step 1: Calculate the diagonal pixel count:

d_p = √(1800² + 900²)

d_p = √(3,240,000 + 810,000)

d_p = √4,050,000

d_p ≈ 2012.46 pixels

Step 2: Calculate the PPI:

PPI = d_p / d_i

PPI = 2012.46 / 20

PPI ≈ 100.62