How much more is 50 inches than 49 inches?

One of the world’s biggest problems with Shakespeare’s “Going or not, is a problem” is the selection of 50-inch and 49-inch LCD TVs, because many people do not know that 50-inch TVs are more like 49-inch LCDs. How much is the TV? If you understand the problem of a 50-inch TV that is much larger than 49 inches, many people will have a very clear choice when buying a TV. 50 inches is more than 49 inches is not 1 inch distance Oh! ! ! The choice of TV size does not have to be so annoying because there is a standard formula for calculating the size of the TV screen. It can be determined that regardless of the size of the screen, the number of diagonal angles between the diagonal line and the bottom frame is the same and fixed.

Silently closing my eyes and entering the junior high school math memory model:

We need to assume:
The length of the television screen is a, the screen height is b,
Using the sine and cosine formula gives:
Sina=b/diagonal length
Cosa=a/diagonal length ∴ TV screen length a=cosa×diagonal length TV screen height b=sina×diagonal length

With the above derivation formula, you can calculate, and give your friends a chestnut below:


50 inch TV screen area = sina×cosa×50×50=2500 sina×cosa
49-inch TV screen viewing area = sina×cosa×49×49=2401 sina×cosa
In the formula, Sina and Cosa are approximated each other. The visual area is just the square of the screen size.
Ultimately, the 50-inch larger than 49-inch TV can be seen through the percentage formula:
(2500-2401) ÷2500 = 3.96%

In addition to the contrast between 50 inches and 49 inches, the same is true for 50 inches and 47 inches. Then:

47-inch TV screen viewing area = sina × cosa × 47 × 47 = 2209 sina × cosa
Using the percentage formula, the visible area of ​​a 50-inch larger than a 47-inch TV is:
(2500-2209) ÷2500 =11.64%

The final conclusion can be drawn:
50 inches out of 49 inches is not 1 inch, but a full 3.96% of the visible area.
47 inch is a whole 11.64% smaller visible area than 50 inches!
This ratio is still very large, so we can choose 50 inches when buying a TV, do not consider 49 inches.
Regardless of the screen size, you always have to download a sofa butler!

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