Find the Area of the Surface Generated by Revolving the Curves

Multiple Choice

Find the area of the surface generated by revolving the curves about the indicated axis.
- $x = \sin t , y = 2 + \cos t , 0 \leq t \leq 2 \pi ; x$ -axis

A) $12 \pi ^ { 2 }$
B) $6 \pi ^ { 2 }$
C) $2 \pi ^ { 2 }$
D) $8 \pi ^ { 2 }$