Solve the Problem $69 \mathrm { ft }$ 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 $69 \mathrm { ft }$ . in front and with a range of motion of $262 ^ { \circ }$ . Over what area will the sensor detect motion and become illuminated? Round to the nearest hundredth.

A) $10,885.36 \mathrm { ft } ^ { 2 }$
B) $10,885.46 \mathrm { ft } ^ { 2 }$
C) $21,771.02 \mathrm { ft } ^ { 2 }$
D) $21,770.92 \mathrm { ft } ^ { 2 }$