Why the value of "pi"is fixed for 22/7? Why not the any other value?
In most of the engineeirng subjects we are familiar with the parameter "pi"
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Administrator • Sep 29, 2018
Interesting question. The PI (π) , represents the radio of the circumference of a circle to its diameter.
Now, if you draw a perfect circle and measure its circumference and diameter, they're going to be in the ratio 22/7; thus the value.
For all practical calculations, the value for calculations is set to 3.1415 (or just 3.14). However, be aware that the number itself is never ending.
So, to answer your question - it's the ratio that we get measurements of a circle.
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Member • Sep 29, 2018
Because Pi is endless. 22/7 is good enough for most purposes. 355/113 is much more accurate.
I just use 3.1416 for all engineering calculations. Easy to remember.
pi/4 is another figure appearing often.
0.7854 is the best value for this. Interestingly 7854 appear clockwise on all calculators and computer key boards so no memory is needed.
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Administrator • Sep 29, 2018
I have uploaded an interesting PDF : #-Link-Snipped-#. Download it from our Downloads section. It'a a very small PDF but I found it interesting.Â
PS: I'm actually very fascinated by the concept of Pi. A circle is a perfect geometric shape that I can visualise in mind. What boggles my mind is that if it's a perfect shape - then it had to be a rational number; but mathematically 22/7 ≠3.14...
How could that be possible? [Or am I just sleepy at the moment to think 'rationally'?]Â
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Member • Sep 29, 2018
#-Link-Snipped-# , I share your fascination for the circle. A curious fact about a circle is that every circle, atomic size or galaxy size and wherever in space, passes through the same two points at infinity!
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Administrator • Sep 29, 2018
#-Link-Snipped-# sir - it's fascinating. I always imagined a 'line' as a series of atoms side-by-side; and the total length of the line would be equal to the sum of diameters of the atoms (it doesn't make sense; but why not imagine atoms as marbles). Did you imagine it any different?Â
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Member • Sep 29, 2018
Nothing very wrong with that except that the line will then have a thickness equal to the diameter of the atom. A line in mathematics has no thickness.
Another thing is that the number of points on a line is infinite. It is the same infinity for all lines of any length and kind, straight, curved or twisted.Â
It gets worse. The number points on any line is equal to the number of points in any area, and any solid.
However, interestingly there are infinities that have different sizes. Apparently there are three of them and only three.
George Gamov’s “One two three infinity†describes many of these fascinating facets of maths and science.
It is available for legal download from here:
<a href="https://archive.org/details/OneTwoThreeInfinity_158/page/n3" target="_blank" rel="nofollow noopener noreferrer">ONE TWO THREE INFINITY : GEORGE GAMOV : Free Download, Borrow, and Streaming : Internet Archive</a>
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