See graph and explanations.
Work Step by Step
Step 1. Graph the circle $x^2+y^2=36$; as the inequality does not include an equal sign, make this circle dashed. Step 2. Using a test point away from the boundary, such as $(0,0)$, we have $0\gt36$ which is not true; thus the other side not with this test point should be shaded as shown in the figure.