Suppose a Church Window Is Bounded Above by a Parabola $147.477 \mathrm { ft } ^ { 2 }$

Multiple Choice

Suppose a church window is bounded above by a parabola and below by the arc of a circle as shown in figure given below. Find the surface area of the window. Round your answer to Three decimal places.

A) $147.477 \mathrm { ft } ^ { 2 }$
B) $62.143 \mathrm { ft } ^ { 2 }$
C) $81.292 \mathrm { ft } ^ { 2 }$
D) $53.610 \mathrm { ft } ^ { 2 }$
E) $184.590 \mathrm { ft } ^ { 2 }$