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Find the Area of a Sector of a Circle Having θ\theta

Question 74

Multiple Choice

Find the area of a sector of a circle having radius r and central angle θ\theta . If necessary, express the answer to the nearest
tenth.
-A sensor light installed on the edge of a home can detect motion for a distance of 44ft44 \mathrm { ft } . in front and with a range of motion of 254254 ^ { \circ } . Over what area will the sensor detect motion and become illuminated? Round to the nearest hundredth.


A) 8582.55ft28582.55 \mathrm { ft } ^ { 2 }
B) 4291.18ft24291.18 \mathrm { ft } ^ { 2 }
C) 8582.65ft28582.65 \mathrm { ft } ^ { 2 }
D) 4291.28ft24291.28 \mathrm { ft } ^ { 2 }

Correct Answer:

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