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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