Second Question So what is The Value of Pie When Divided By 22/7
Answers
So what is The Value of Pie When Divided By 22/7
I interpret “value” in your question as “how valuable is this expression”.
22/7 is one of the so-called “best rational approximations” for pi, that is, it is closer to pi than any approximation with a smaller or equal denominator.
These “best approximations” roll out of the continued fraction expansion of pi, which is given by [3; 7,15,1,292,1,1,1,2,1,3,1,14,2,1,1,2,2,2,2, …], see e.g. Continued fraction expansion of pi, on Wikipedia
From this, the following are the first “best rational approximations” for pi:
3
22/7
333/106
355/113
(which is accurate to six decimal places!
this approximation was already discovered by the Chinese astronomer Tsu Ch'ung-Chih in the fifth century A.D.)
103993/33102
104348/33215