November 29, 2012

The Life Story Of PI

03:41 Posted by DurgaSwaroop No comments

                                     STORY OF PI (π)

                          Pi (π)  is defined as the ratio of the circumference of a circle to its diameter. There is no such thing as its exact value because it is a non-terminating non-recurring decimal number,which when simply put means that its value has no end. It is also referred as a TRANSCENDENTAL NUMBER, and more importantly it is an irrational number(like √2 ,√3 ...).

                          The decimal representation of pi(π) has an approximate value of 3.14,which we take normally  for many calculations in general math. 
                           The first 100 significant figures of  π are 
              π = 3.14159265358979323846264338327950288419716939937510582097 
4944592307816406286208998628034825342117067... ... (the laundry list continues forever)
                            The fractions 22/7, 355/113 approximate to its value(but still not exact).
                      355/113  = 3.14159292  (accurate up to six digits)
                      22/7 = 3.142857143 (accurate only up to two places)
For general purpose calculations 22/7 is taken as  π  [close but not close enough :-)]
Now are your ready for something amazing ????

The value of  π to 1,00,000 significant figures is.............................

November 14, 2012

November 10, 2012