Pi is wrong

"... When we say that “$\pi$ is wrong”, we mean that $\pi$ is a confusing and unnatural choice for the circle constant. In particular, since a circle is defined as the set of points a fixed distance—the radius—from a given point, a more natural definition for the circle constant uses $r$ in place of $D$: \[ \mathrm{circle\ constant} \equiv \frac{C}{r}. \] Because the diameter of a circle is twice its radius, this number is numerically equal to $2\pi$. Like $\pi$, it is transcendental and hence irrational, and (as we’ll see in Section 2) its use in mathematics is similarly widespread...."
Leia mais