Question

How do you graph `r=8`?

Answer 1

Please see below.

Explanation:

In polar coordinate system, each point on a plane is determined by its distance from a reference point called origin (equivalent to `(0,0)` in Cartesian coordinates) and an angle, (say `theta`) from a reference direction, which is `x`-axis to the right of the origin.

The point is described as `(r,theta)` i.e. `(r,theta)` is a point which is at a distance of `r` from origin and and at aan angle `theta` to the postive side of `x`-axis.

The graph of `r=8` represents points which are at a distance of `8` from te origin.

Hence, it represents a circle, with center at origin and radius `8`. The graph appears as shown below.