Find the area of the region in the XY plane consisting of all points in the set $$\left\{ ( x , y ) \mid x ^ { 2 } + y ^ { 2 } \leq 144 \text { and } \sin ( 2 x + 3 y ) \leq 0 \right\} .$$
Find the area of the region in the XY plane consisting of all points in the set
$$\left\{ ( x , y ) \mid x ^ { 2 } + y ^ { 2 } \leq 144 \text { and } \sin ( 2 x + 3 y ) \leq 0 \right\} .$$