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?

Math  MathMate, Monday, February 20, 2012 at 8:32pm
Area = area of full circle * (θ/360)
=πr^2*θ/360
=π 50^2*192/360
=4000/3 ft^2.

Trigonometry  Ricardo, Wednesday, December 9, 2015 at 4:52pm
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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