The Surface Area of the Surface $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$

Multiple Choice

The surface area of the surface $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$ above z = 0 and inside $x ^ { 2 } + y ^ { 2 } = 2 x$ is

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