Screen Size Converter (Diagonal Inches to CM)
Visualize screen dimensions instantly. Convert diagonal inches to centimeters and calculate width/height for standard 16:9 displays.
About
Purchasing a new television or monitor involves balancing specification desires with physical space constraints. Manufacturers universally market screens by their diagonal measurement in inches, yet furniture, wall mounts, and room layouts are often measured in the metric system (centimeters). This mismatch leads to return hassles when a "65-inch" TV fails to fit a 140cm niche.
This tool goes beyond simple unit conversion. It calculates the physical Width and Height of the screen based on the standard 16:9 aspect ratio used in virtually all modern HDTVs and 4K displays. By understanding the trigonometry of the display, users can plan their home theater or workstation setup with millimeter precision, accounting for the actual panel size before adding bezel allowances.
Formulas
The core conversion is a linear scaling factor, but the dimension extraction requires trigonometry based on the Pythagorean theorem.
Dcm = Dinch × 2.54
For a standard 16:9 aspect ratio, the angle θ is arctan(9/16). The dimensions are:
Width = Dcm × 0.8716
Height = Dcm × 0.4903
Reference Data
| Diagonal (in) | Diagonal (cm) | Width (cm) | Height (cm) | Usage Class |
|---|---|---|---|---|
| 13.3 | 33.8 | 29.4 | 16.6 | Compact Laptops |
| 24 | 61.0 | 53.1 | 29.9 | Standard Office Monitor |
| 27 | 68.6 | 59.8 | 33.6 | Gaming Monitor |
| 32 | 81.3 | 70.8 | 39.8 | Small Bedroom TV |
| 55 | 139.7 | 121.8 | 68.5 | Living Room Standard |
| 65 | 165.1 | 143.9 | 80.9 | Home Cinema Entry |
| 75 | 190.5 | 166.0 | 93.4 | Large Format |
| 85 | 215.9 | 188.2 | 105.8 | Premium Theater |