Apply Green's Theorem to Evaluate the Integral $$\oint _ { C } ( 8 y + x ) d x + ( y + 3 x ) d y$$

Multiple Choice

Apply Green's Theorem to evaluate the integral.
- $$\oint _ { C } ( 8 y + x ) d x + ( y + 3 x ) d y$$
$C$ : The circle $( x - 6 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 9$

A) $45 \pi$
B) $- 270$
C) $- 30$
D) $- 45 \pi$