Article: [pi] division and addition.

The number [pi]

In AMT Volume 64 Number 1 we saw that the number [pi][approximately or equal to] 3.14159 is defined to be the ratio C/d of the circumference C to the diameter d of any given circle. In particular, [pi] measures the circumference of a circle of diameter d = 1. Historically, the Greek mathematician Archimedes found good approximations for [pi] by inscribing and circumscribing many-sided polygons about this circle, and calculating their perimeters.

Since [pi] stands for an infinite decimal, for practical purposes it is useful to find fractions which have a value close to [pi]. We look at this first. Later we look at one of several surprising appearances of ...

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