The quirky nature of Pi... how is it possible?
Posted 2 March 2005 - 08:45 PM
On one hand, Pi is defined as a ratio... that of the Circumference of a circle to its diameter.
However, as far as I know, it is a nonrepeating infinite decimal, therefore making it an irrational number, correct?
So how is it that you can take a ratio, and get an irrational number out of it?
Posted 2 March 2005 - 09:17 PM
One of the two (C or D) is an irrational number (if not both). So dividing the two would get you another irrational number: .
Posted 3 March 2005 - 04:20 AM
Posted 3 March 2005 - 09:04 PM
Posted 8 March 2005 - 04:34 PM
But, basically, pi is a real number, it is irrational, even transcendental, and it is the the ratio of a geometric NOT real world quantities.
It can theoretically be evaluated in base ten to arbitrary precision, given enough time by one of the many series formulae for it. pi squared of six is for example the sum of the reciprocals of the squares of the natural numbers.
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