# Archimedean spiral

An Archimedean spiral is a spiral with the polar equation

 $r=a\theta^{1/t},$

where $a$ is a real, $r$ is the radial distance, $\theta$ is the angle, and $t$ is a constant.

The curvature of an Archimedean spiral is given by the formula

 $\frac{t\theta^{1-1/t}(t^{2}\theta^{2}+t+1)}{a(t^{2}\theta^{2}+1)^{3/2}}.$
Title Archimedean spiral ArchimedeanSpiral 2013-03-22 14:05:55 2013-03-22 14:05:55 rspuzio (6075) rspuzio (6075) 6 rspuzio (6075) Definition msc 14H45