The area covered by the motion detector which having a radius of 25 feet and an angle of 105 degrees is 572.58 feet.
What is a circle?
It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A motion detector can detect movement up to 25 feet away through an angle of 105 degrees.
Then the area covered by the detector will be
[tex]\rm Area = \dfrac{\theta}{360} \times \pi r^2\\\\Area = \dfrac{105}{360} \times \pi \times 25^2\\\\Area = 572.58 \ ft^2[/tex]
The area covered by the detector is 572.58 square feet.
More about the circle link is given below.
https://brainly.com/question/11833983
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