Solve the Problem $50 \mathrm { ft }$ in Front and with a Range of Motion Of of a Home

Multiple Choice

Solve the problem.
-A sensor light installed on the edge of a home can detect motion for a distance of $50 \mathrm { ft }$ . in front and with a range of motion of $238 ^ { \circ }$ . Over what area will the sensor detect motion and become illuminated? Round to the nearest hundredth.

A) $5192.35 \mathrm { ft } ^ { 2 }$
B) $10,384.81 \mathrm { ft } ^ { 2 }$
C) $10,384.71 \mathrm { ft } ^ { 2 }$
D) $5192.25 \mathrm { ft } ^ { 2 }$