Screen Size Calculator - Measure Your Display Dimensions

Screen Size Calculator - Measure Your Display Dimensions

Screen Size Calculator - Display Dimensions

Screen Size and PPI Calculator

Welcome to the ultimate **Screen Size Calculator**. This tool allows you to accurately measure your display's physical dimensions (width, height, and area) and calculate the crucial **Pixels Per Inch (PPI)** value. Simply input the **diagonal screen size** and **aspect ratio**—the two fundamental specifications for any display—and we'll compute the rest. Whether you're measuring a TV, monitor, or custom LED wall, use the unit selector for results in inches, centimeters, or millimeters.

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📊 Calculation Results

📐 Screen Dimension Preview

(Dimensions will be visually represented here after calculation, showing W, H, and the ratio shape)

Frequently Asked Questions (FAQ)

How is screen width and height calculated?
The width (W) and height (H) are calculated using the Pythagorean theorem, $Diagonal^2 = W^2 + H^2$, combined with the aspect ratio (AR) relation $W/H = AR$. This results in formulas: $W = Diagonal / \sqrt{1 + (H_{ratio}/W_{ratio})^2}$ and $H = Diagonal / \sqrt{1 + (W_{ratio}/H_{ratio})^2}$.
What is PPI (Pixels Per Inch) and why is it important?
PPI measures the density of pixels on a display. A higher PPI generally means a sharper image because there are more pixels packed into the same physical space. It's calculated as $PPI = \frac{\sqrt{px\_width^2 + px\_height^2}}{Diagonal}$.
Can I use this calculator for custom aspect ratios?
Yes, you can select the 'Custom Aspect Ratio' option and input any ratio in the format width:height (e.g., 5:4) to calculate the dimensions.
What unit options are available for the results?
The calculator allows you to view the results in Inches, Centimeters (cm), or Millimeters (mm), providing flexibility for different measurement standards.
What is a bezel-adjusted dimension?
The bezel-adjusted dimension is the total physical size of the monitor or TV, including the frame (bezel) around the screen. If you input the bezel width, the calculator adds it to the screen width and height for the total external dimension.

In-Depth Guide to Screen Size and PPI Calculations

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How to Use the Screen Size Calculator

The process is straightforward: input the diagonal size (in inches) and select the aspect ratio. For example, a modern 55-inch television uses a 16:9 aspect ratio. The calculator then uses geometric principles to solve for the screen's internal width and height. If you include the resolution (e.g., 3840x2160 for 4K), the calculator can also determine the PPI, giving you a comprehensive view of your display's physical and pixel density characteristics.

The Pythagorean Theorem in Display Math

Every display is a rectangle, and the diagonal line divides it into two right-angled triangles. The core of the calculation relies on the Pythagorean theorem: $Diagonal^2 = Width^2 + Height^2$. By introducing the aspect ratio, $AR = Width / Height$ (or $Width = AR \times Height$), we can solve for the two unknown variables, Width and Height. $$ \text{Diagonal}^2 = (\text{AR} \times \text{Height})^2 + \text{Height}^2 $$ $$ \text{Height} = \frac{\text{Diagonal}}{\sqrt{\text{AR}^2 + 1}} $$ Once the height is found, the width is simply $Width = AR \times Height$. This fundamental relationship ensures accurate physical dimension calculation.

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