Calculadora de Tamanho de TV
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
w = diag·cos(atan(9/16)); dist = 1,2×–2× diagonal
About this calculator
This calculator helps you determine the exact dimensions of a 16:9 widescreen TV based on the diagonal size you enter. Using the standard aspect ratio, it calculates the width and height of the screen in centimeters, as well as suggests an ideal viewing distance. The result is useful for planning installation, choosing the right furniture, and ensuring optimal visual comfort.
The calculation uses the geometric relationship of a 16:9 rectangle. The width is obtained by multiplying the diagonal by the cosine of the arctangent of 9/16, and the height is derived from the width while maintaining the aspect ratio. The recommended distance ranges from 1.2 to 2 times the diagonal size, considering everything from an immersive experience to a more comfortable view for general use.
Use this tool when buying a new TV to check if it fits in the available space. It is also useful for setting up a home theater and determining the ideal sofa placement. Architects and designers can use it in interior design projects to anticipate the visual impact of the equipment.
Caution: the ideal distance also depends on the TV resolution (4K, 8K) and each person's visual acuity. For 4K TVs, shorter distances (close to 1.2x) are more suitable to appreciate details. For Full HD TVs, it is recommended to sit farther (close to 2x) to avoid noticing pixels. Also consider the viewing angle and eye height.
Frequently asked questions
What is the ideal viewing distance for a 55-inch 4K TV?
For a 55-inch 4K TV, the recommended distance is between 1.68 m (1.2x diagonal) and 2.80 m (2x diagonal). To enjoy 4K details, prefer sitting closer, around 1.68 m.
How do I correctly measure the TV diagonal?
Measure the screen from one bottom corner to the opposite top corner, ignoring the bezel. The diagonal is usually provided in inches by the manufacturer.
Does this calculator work for TVs with different aspect ratios?
No, it is designed only for 16:9 widescreen TVs, which is the current standard. For other ratios (like 4:3 or 21:9), the calculations would be different.
Does the recommended distance account for eye height?
No, the calculator only provides the horizontal distance. It is recommended that the center of the screen be at eye level when seated, adjusting the installation height accordingly.
Can I use the calculated distance for Full HD TVs?
Yes, but for Full HD it is better to use values close to 2x the diagonal to avoid seeing pixels. For example, for a 50-inch Full HD TV, ideal distance around 2.54 m.