Calculate the Flux of the Field F Across the Closed $\mathbf { F } = x \mathbf { i } + y \mathbf { j } ;$

Multiple Choice

Calculate the flux of the field F across the closed plane curve C.
- $\mathbf { F } = x \mathbf { i } + y \mathbf { j } ;$ the curve $C$ is the counterclockwise path around the circle $x ^ { 2 } + y ^ { 2 } = 16$

A) $64 \pi$
B) $32 \pi$
C) $8 \pi$
D) 0