Answer
Please see the graph.
Work Step by Step
$x^2+y^2 <36$
Since the graph has a less than sign, we use a dotted line for the graph.
We pick a point to determine what side of the graph to shade—we pick $(2,2)$.
$x^2+y^2 <36$
$2^2 + 2^2 < 36$
$4+4 < 36$
$8 < 36$ (true)
We shade the side of the graph with the point.