Question

How do you graph `r=6`?

Answer 1

The graph is a circle with center at origin and radius `6`.

Explanation:

As `r` in polar coordinates denotes the distance of a point from center, the equation `r=6` denotes all those points who are at a distance of six units from center.

As is apparent, the graph is a circle with center at origin and radius `6`.

Further relation between polar coordinates `(r,theta)` and rectangular coordinates `(x,y)` are given by `x=rcosthata` and `y=rsintheta` and hence `r=sqrt(x^2+y^2)`

Hence `r=6`

`hArrr^2=36` or `x^2+y^2=36`, which is again the equation of a circle with center at `(0,0)` and radius `6`

graph{x^2+y^2=36 [-13, 13, -6.5, 6.5]}