Screen Size Calculator
Actual width and height of a screen from its diagonal and aspect ratio.
Results
Width
121.76
cm
Height
68.49
cm
Area
0.8339
m²
What this tool does
Televisions and monitors are sold by diagonal, which tells you almost nothing about whether one will fit on a shelf. Enter the diagonal in inches and the aspect ratio and you get the real width and height in centimetres — the numbers a tape measure can check.
Formula
width = diagonal × a ÷ √(a² + b²)
Variables
| Symbol | Meaning | Unit |
|---|---|---|
d | Diagonal | in |
a | Original width | — |
b | Original height | — |
W | Width | cm |
H | Height | cm |
AR | Area | m² |
Worked example
- Diagonal55 in
- Original width16
- Original height9
- Width121.76 cm
- Height68.49 cm
- Area0.8339 m²
Limitations
- The calculation runs at full precision and only the display is rounded. If you copy an intermediate value and retype it, small differences can appear.
- The result is an estimate based only on the values you type. Real situations often include factors this calculator does not know about.