Find the Area of the Portion of the Surface $f ( x , y ) = 2 + x ^ { 2 } - y ^ { 2 } \text { that lies above the }$

Multiple Choice

Find the area of the portion of the surface $f ( x , y ) = 2 + x ^ { 2 } - y ^ { 2 } \text { that lies above the }$ region $R = \left\{ ( x , y ) : x ^ { 2 } + y ^ { 2 } \leq 1 \right\}$ . Round your answer to two decimal places.

A) $9.29$
B) $18.58$
C) $69.20$
D) $5.33$
E) $0.65$