Find the Area of the Surface $z = 4 - x ^ { 2 } - y ^ { 2 }$

Multiple Choice

Find the area of the surface. The part of the surface $z = 4 - x ^ { 2 } - y ^ { 2 }$ that lies above the xy-plane.

A) $( \sqrt { 17 } - 17 )$
B) $\frac { 1 } { 6 }$ $\pi ( 17 \sqrt { 17 } - 1 )$
C) $\frac { 1 } { 6 }$ $$( \sqrt { 17 } + 1 )$$
D) $\pi ( 17 \sqrt { 17 } - 1 )$
E) $\frac { 1 } { 6 }$ $( 17 \sqrt { 17 } + 1 )$