Answer
Please see the graph.
Work Step by Step
$x^2+y^2\geq16$
Since the graph has a greater than or equal sign, we use a solid line for the graph.
We pick a point to determine what side of the graph to shade—we pick $(2,2)$.
$x^2+y^2\geq16$
$2^2+2^2\geq16$
$4+4 \geq16$
$8 \geq16$ (false)
We shade the side of the graph without the point.