Answer
Please see the graph.
Work Step by Step
$x^2+y^2 < 36$
We pick the point $(1,0)$ to determine what side of the line to shade.
$x^2+y^2 < 36$
$1^2+0^2 < 36$
$1+0 <36$
$1 < 36$ (true, so we shade the side of the line with this point)