Pi treatment for the constituent rectangles of the superscribed square in the study of exact area of the inscribed circle and its value of Pi (SV University Method

R.D. Sarva Jagannadha Reddy
2014 IOSR Journal of Mathematics  
Pi value equal to 3.14159265358... is derived from the Exhaustion method of Archimedes (240 BC) of Syracuse, Greece. It is the only one geometrical method available even now. The second method to compute 3.14159265358... is the infinite series. These are available in larger numbers. The infinite series which are of different nature are so complex, they can be understood and used to obtain trillion of decimals to 3.14159265358... with the use of super computers only. One unfortunate thing about
more » ... his value is, it is still an approximate value. In the present study, the exact  value is obtained. It is 14 2 4  = 3.14644660942... A different approach is followed here by the blessings of the God. The areas of constituent rectangles of the superscribed square, are estimated both arithmetically, and in terms of  of the inscribed circle. And  value thus derived from this study of correct relationship among superscribed square, inscribed circle and constituent rectangles of the square, is exact.
doi:10.9790/5728-10414448 fatcat:2llep3h4qfez3o5zt2v2aln2j4