The Length of the Curve $x ( t ) = 4 - 3 \cos t , y ( t ) = 3 + 3 \sin t$

Multiple Choice

The length of the curve $x ( t ) = 4 - 3 \cos t , y ( t ) = 3 + 3 \sin t$ with $t \in \left[ - \frac { \pi } { 2 } , \frac { \pi } { 2 } \right]$ is

A) $\frac { \pi } { 2 }$
B) $2 \pi$
C) $3 \pi$
D) $\frac { \pi } { 4 }$
E) $\frac { 5 \pi } { 2 }$