Approximation of the value of <i>π</i> using metallic means and the unit hyperbola

Pi (π) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. Although for calculations using the number π usually one only needs a few decimal places, mathematicians have devoted much effort to obtain as many decimal places as they have been able to calculate. For a general description of the methods used to approximate the value of π, see e.g. [1, 2].