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posted by melissa on Monday, February 20, 2012 at 8:20pm.

A sensor light installed on the edge of a home can detect motion for a distance of 50ft. in front and with a range of motion of 192degree. Over what area will the sensor detect motion and become illuminated?

Area = area of full circle * (θ/360) =πr^2*θ/360 =π 50^2*192/360 =4000/3 ft^2.

making correction in just the answer all procedures are well done !! Area = area of full circle * (θ/360) =πr^2*θ/360 =π 50^2*192/360 = 4188.79 ft^2

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