Find the Moments of Inertia for a Wire That Lies $\overrightarrow { \mathbf { r } } ( t ) = 7 \cos t \tilde { \mathbf { i } } + 7 \sin t \tilde { \mathbf { j } } , 0 \leq t \leq 2 \pi$

Multiple Choice

Find the moments of inertia for a wire that lies along $\overrightarrow { \mathbf { r } } ( t ) = 7 \cos t \tilde { \mathbf { i } } + 7 \sin t \tilde { \mathbf { j } } , 0 \leq t \leq 2 \pi$ , with density $\rho ( x , y ) = 1$

A) $I _ { x } = 343 \pi , I _ { y } = 343 \pi$
B) $I _ { x } = 7 \pi , I _ { y } = 49 \pi$
C) $I _ { x } = 49 \pi , I _ { y } = 49 \pi$
D) $L _ { x } = 343 \pi , I _ { y } = 7 \pi$
E) $I _ { x } = 7 \pi , I _ { y } = 7 \pi$