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Screen Size from Diagonal Calculator — result sheet
Estimate screen width, height, and area from diagonal size and an aspect ratio.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Scale = diagonal/√(aspectWidth²+aspectHeight²); width = scale×aspectWidth; height = scale×aspectHeight.
The diagonal and the width-to-height ratio form a right triangle. Pythagoras supplies the scale factor that turns the ratio into physical width and height.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Diagonal size — in; minimum 0.001; maximum 100000
- Aspect-ratio width — minimum 1.0E-6; maximum 100000
- Aspect-ratio height — minimum 1.0E-6; maximum 100000
Worked example
| Input | Value |
|---|---|
| Diagonal size | 27 |
| Aspect-ratio width | 16 |
| Aspect-ratio height | 9 |
A 27-inch 16:9 screen is about 23.53 inches wide and 13.24 inches high.
Assumptions and limits
- The entered aspect ratio describes the active display area, not the bezel or stand.
- Diagonal size is measured in inches and the output uses the same physical diagonal convention.
- Curved displays, rounded corners, and manufacturer measurement practices can cause small real-world differences.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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