Screen Size To Resolution Calculator

Screen Size Formula:

\[ \text{Diagonal (inches)} = \frac{\sqrt{\text{Width (pixels)}^2 + \text{Height (pixels)}^2}}{\text{PPI}} \]

Diagonal Screen Size:

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1. What Is Screen Size Calculation?

Screen size calculation determines the physical diagonal measurement of a display based on its resolution and pixel density. This helps in understanding the actual physical dimensions of screens with different resolutions and pixel densities.

2. How Does The Calculator Work?

The calculator uses the screen size formula:

\[ \text{Diagonal (inches)} = \frac{\sqrt{\text{Width (pixels)}^2 + \text{Height (pixels)}^2}}{\text{PPI}} \]

Where:

\( \text{Width} \) — Horizontal resolution in pixels
\( \text{Height} \) — Vertical resolution in pixels
\( \text{PPI} \) — Pixels per inch (pixel density)
\( \text{Diagonal} \) — Physical screen diagonal in inches

Explanation: The formula applies the Pythagorean theorem to calculate the diagonal pixel count, then divides by PPI to convert to physical inches.

3. Importance Of Screen Size Calculation

Details: Understanding screen size from resolution helps in comparing displays, determining pixel density (sharpness), and making informed decisions when purchasing monitors, TVs, or mobile devices.

4. Using The Calculator

Tips: Enter width and height in pixels, and PPI (pixels per inch). All values must be positive numbers. Common PPI values range from 100-500 for various display types.

5. Frequently Asked Questions (FAQ)

Q1: What is PPI and why is it important?
A: PPI (Pixels Per Inch) measures pixel density. Higher PPI means sharper images and text, as more pixels are packed into each inch of screen space.

Q2: How do I find the PPI of my display?
A: PPI can be calculated if you know the resolution and physical size, or found in the display specifications from the manufacturer.

Q3: What are typical PPI values for different devices?
A: Smartphones: 300-500 PPI, Tablets: 200-300 PPI, Laptops: 100-200 PPI, Monitors: 80-150 PPI, TVs: 40-100 PPI.

Q4: Does screen size affect image quality?
A: Yes, when combined with resolution. Two screens with same resolution but different sizes will have different PPI - the smaller screen will appear sharper.

Q5: Can I calculate PPI if I know screen size and resolution?
A: Yes, using the reverse formula: PPI = √(Width² + Height²) / Diagonal (inches).