Chapter 8.2, Problem 72PE

A Archimedean spiral is represented by $r=a\theta .$
a. Graph $r=0.5\theta$ and $r=-0.5\theta$ over the interval $0\le \theta \le 8\pi$ and use a ZOOM square viewing window.
b. Archimedean spirals have the property that a ray through the origin will intersect successive turns of the spiral at a constant distance of $2\pi \left|a\right|.$ What is the distance betweeneach point of the spiral $r=0.5\theta$ along the line $\theta =\frac{\pi }{2}?$