O número π: Seus encantamentos e aplicações ao longo do tempo

Abstract

The presentworkshows a brief history regarding thenumber π. Let’s look atsome ideas developed from the quest to understand and calculate this important number that has fascinated mathematicians since antiquity. We begin by approaching the irra- tionality of π, and then recall the classic Greek problem of Circle Quadrature and how this problem was needed to calculate this constant as accurately as possible. We will also comment on the historical attempts to calculate it, with emphasis on the methods developed by Archimedes, Nicholas of Cusa, Leibniz, Machin and Wallis, through which we can calculate thenumber π very quickly and accurately. Finally, we will do a comparative analysis of the methods seen, displaying some charts and approximation tables calculated with the support of the Geogebra Educational Software.