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) $8 \pi ^ { 2 }$

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The Answer of 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) $8 \pi ^ { 2 }$

Find the Area of the Surface Generated by Revolving the Curves