Evaluate the Line Integral $\underset{C}{\int} \mathbf{F} \cdot d \mathbf{r}$ Where $\mathbf { F } ( x , y ) = ( x - y ) \mathbf { i } + ( x y ) \mathbf { j }$

Multiple Choice

Evaluate the line integral
$\underset{C}{\int} \mathbf{F} \cdot d \mathbf{r}$

where $\mathbf { F } ( x , y ) = ( x - y ) \mathbf { i } + ( x y ) \mathbf { j }$ and $C$ is the arc of the circle $x ^ { 2 } + y ^ { 2 } = 16$ traversed counterclockwise from $( 4,0 )$ to $( 0 , - 4 )$ . Round your answer to two decimal places.

A) $54.03$
B) $53.03$
C) $55.03$
D) $51.03$
E) $52.03$