Let a Denote the Area Enclosed by the Graph $f ( x ) = 3 + \sqrt { 4 - x ^ { 2 } },$

Multiple Choice

Let A denote the area enclosed by the graph $f ( x ) = 3 + \sqrt { 4 - x ^ { 2 } },$ the lines y = 3, x = 0, and x = 2. Graphing the region and using plane geometry, we can find that A is

A) $2 \pi - 3$
B) $2 \pi + 3$
C) $\pi - 3$
D) $\pi + 3$
E) $\pi$