Find the Length of the Curve $$x = 6 \sin t - 6 t \cos t , y = 6 \cos t + 6 t \sin t , 0 \leq t \leq \frac { \pi } { 4 }$$

Multiple Choice

Find the length of the curve.
- $$x = 6 \sin t - 6 t \cos t , y = 6 \cos t + 6 t \sin t , 0 \leq t \leq \frac { \pi } { 4 }$$

A) $\frac { 9 } { 8 } \pi ^ { 2 }$
B) $\frac { 3 } { 4 } \pi ^ { 2 }$
C) $\frac { 3 } { 4 } \pi$
D) $\frac { 3 } { 16 } \pi ^ { 2 }$