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Screen Size Calculator

Calculate the physical width and height of a screen from its diagonal measurement and aspect ratio.

Reviewed by Christopher FloiedPublished Updated

This free online screen size 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.

Diagonal measurement of the screen

Minimum: 0

Width component of the aspect ratio (e.g., 16 for 16:9)

Minimum: 0

Height component of the aspect ratio (e.g., 9 for 16:9)

Results

Screen Width

23.53 inches

Screen Height

13.24 inches

Screen Area

311.5 sq in

How to Use This Calculator

1

Enter your input values

Fill in all required input fields for the Screen Size Calculator. Most fields include unit selectors so you can work in your preferred unit system — metric or imperial, whichever matches your problem.

2

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.

3

Read the results

The Screen Size 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.

4

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.

Formula Reference

Screen Size Calculator Formula

See calculator inputs for the governing equation

Variables: All variables and their units are labeled in the calculator interface above. Input fields accept values in multiple unit systems — select your preferred unit from the dropdown next to each field.

When to Use This Calculator

  • Use the Screen Size 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.

About This Calculator

The Screen Size Calculator is a free, browser-based calculation tool for engineers, students, and technical professionals. Calculate the physical width and height of a screen from its diagonal measurement and aspect ratio. It implements standard formulas and supports both metric (SI) and imperial unit systems with automatic unit conversion. All calculations are performed instantly in your browser with no data sent to a server. Use this calculator as a quick reference and sanity-check tool during design, analysis, and learning. Always verify results against primary engineering references and applicable standards for any safety-critical application.

About Screen Size Calculator

The Screen Size Calculator converts a diagonal screen measurement and aspect ratio into physical width and height dimensions. Screen sizes are always advertised as diagonal measurements, which makes it difficult to compare screens with different aspect ratios. A 32-inch 16:9 monitor and a 32-inch 21:9 ultrawide have very different actual widths and heights. This calculator reveals the true dimensions so you can plan your desk setup, wall mount placement, or compare display sizes accurately.

The Math Behind It

Screen size is universally specified as the diagonal measurement from one corner to the opposite corner. This convention dates back to the early days of cathode ray tube televisions. While convenient as a single number, the diagonal alone does not tell you the actual width and height of the viewable area. The physical dimensions depend on both the diagonal size and the aspect ratio. Using the Pythagorean theorem, if D is the diagonal, and the aspect ratio is W:H, then the actual width equals D * W / sqrt(W^2 + H^2) and the actual height equals D * H / sqrt(W^2 + H^2). This calculation reveals some surprising facts. A 32-inch 16:9 monitor has an area of about 437 square inches, while a 34-inch 21:9 ultrawide has an area of about 459 square inches despite having only 2 more diagonal inches, because the wider aspect ratio distributes area differently. Screen area is important for productivity. Ultrawide monitors provide more horizontal workspace for side-by-side windows, while taller 16:10 or 3:2 monitors show more vertical content, which is beneficial for document editing and web browsing. When mounting a TV or monitor, knowing the exact width and height helps ensure it fits the available space and allows proper bracket placement.

Formula Reference

Screen Dimensions from Diagonal

Width = D * W_r / sqrt(W_r^2 + H_r^2), Height = D * H_r / sqrt(W_r^2 + H_r^2)

Variables: D = diagonal, W_r = aspect ratio width, H_r = aspect ratio height

Worked Examples

Example 1: 27-inch 16:9 monitor dimensions

A 27-inch monitor with a 16:9 aspect ratio.

Step 1:Diagonal factor: sqrt(16^2 + 9^2) = sqrt(256 + 81) = sqrt(337) = 18.358
Step 2:Width: 27 * 16 / 18.358 = 23.53 inches
Step 3:Height: 27 * 9 / 18.358 = 13.24 inches
Step 4:Area: 23.53 * 13.24 = 311.5 sq inches

The screen is approximately 23.53 inches wide by 13.24 inches tall with 311.5 square inches of area.

Common Mistakes & Tips

  • !Assuming diagonal size directly indicates viewable area; a 32-inch 16:9 and 32-inch 21:9 have very different areas.
  • !Forgetting that advertised sizes may include the bezel on some older displays.
  • !Confusing aspect ratio components (entering 9:16 instead of 16:9).

Related Concepts

Used in These Calculators

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Frequently Asked Questions

Why are screens measured diagonally?

The convention originated with round CRT tubes where the diameter (diagonal) was the natural measurement. The tradition continued with flat screens as a convenient single number to represent size.

Is a bigger diagonal always more screen area?

Not necessarily when comparing different aspect ratios. A 27-inch 16:9 has about 311 sq inches while a 29-inch 21:9 has about 294 sq inches. The wider ratio redistributes the area despite a larger diagonal.