Pixel C Screen Dimensions
I got a little bored and figured out that the Pixel C screen is not 10.2" exactly and so I figured out the largest and smallest it can be (based on advertised numbers) and that the aspect ratio is not actually perfectly the square root of 2.
Rules & Assumptions:
In order to be 10.2" the screen must be between 10.1500" and 10.2499", both of which, assuming the 10.2444" has a digit less than or equal to 4 behind it, round to 10.2" when rounded to the nearest tenth of an inch.
In order to be 308 PPI the PPI must be between 307.5000 and 308.4444, both of which round to 308 when rounded to the nearest whole pixel per inch.
The screen resolution is 2560 x 1800 and this number is relatively exact.
Findings:
The largest that then screen can be is using the smallest PPI, so 307.5000. 2560/307.5 = 8.3252" and 1800/307.5 = 5.8537". Since a[SUP]2[/SUP]+b[SUP]2[/SUP]=c[SUP]2[/SUP], the hypotenuse or screen size is 3129.4728 pixels and divided by 307.5000 PPI, we get a screen that is 10.1771" at the largest.
The smallest that the screen can be is 10.1500" because any smaller and it would be a 10.1" tablet. Given the same number of pixels as c in the prior example, 3129.4728/10.1500 = a PPI of 308.3224. This would lead to a screen that is 5.8347" x 8.3030".
The aspect ratio is actually 1.4222:1 or 1 and 19/45 to 1. This is about 0.57% larger than the square root of 2.
There is approximately a .26 in[SUP]2[/SUP] difference in the areas between these two sizes, amounting to the largest it can be being about 0.54% larger than the smallest it can be. Rounding these to the tenth of an inch, as OEM's are prone to do for marketing, we have a screen that is either 8.3" x 5.8" for 10.2" or 8.3" x 5.9" for 10.2".
Conclusion:
Why the hell are we going on about a difference of roughly a tenth of an inch? The first sentence started with "I got bored"
I got a little bored and figured out that the Pixel C screen is not 10.2" exactly and so I figured out the largest and smallest it can be (based on advertised numbers) and that the aspect ratio is not actually perfectly the square root of 2.
Rules & Assumptions:
In order to be 10.2" the screen must be between 10.1500" and 10.2499", both of which, assuming the 10.2444" has a digit less than or equal to 4 behind it, round to 10.2" when rounded to the nearest tenth of an inch.
In order to be 308 PPI the PPI must be between 307.5000 and 308.4444, both of which round to 308 when rounded to the nearest whole pixel per inch.
The screen resolution is 2560 x 1800 and this number is relatively exact.
Findings:
The largest that then screen can be is using the smallest PPI, so 307.5000. 2560/307.5 = 8.3252" and 1800/307.5 = 5.8537". Since a[SUP]2[/SUP]+b[SUP]2[/SUP]=c[SUP]2[/SUP], the hypotenuse or screen size is 3129.4728 pixels and divided by 307.5000 PPI, we get a screen that is 10.1771" at the largest.
The smallest that the screen can be is 10.1500" because any smaller and it would be a 10.1" tablet. Given the same number of pixels as c in the prior example, 3129.4728/10.1500 = a PPI of 308.3224. This would lead to a screen that is 5.8347" x 8.3030".
The aspect ratio is actually 1.4222:1 or 1 and 19/45 to 1. This is about 0.57% larger than the square root of 2.
There is approximately a .26 in[SUP]2[/SUP] difference in the areas between these two sizes, amounting to the largest it can be being about 0.54% larger than the smallest it can be. Rounding these to the tenth of an inch, as OEM's are prone to do for marketing, we have a screen that is either 8.3" x 5.8" for 10.2" or 8.3" x 5.9" for 10.2".
Conclusion:
Why the hell are we going on about a difference of roughly a tenth of an inch? The first sentence started with "I got bored"
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