Respuesta :
Given:-
-The blueprints for a police station show that one of the lamp posts has a motion detector on it, and that the equation describes the boundary within which motion can be sensed. :
(x+14)^2+(y-6)^2=9 → which is a equation of a CIRCLE.
When we compare it to the standard form of equation of circle i.e. (x-(-14))^2+(y-6)^2=3^2
, we get the radius of the circle = 3
Consider the lamp post as the center of the area covered by the detector.
Then the greatest distance a person could be from the lamp and be detected = Radius of the circular area
=3 feet.
To know more about circle area check out:
https://brainly.com/question/27961113
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The greatest distance, in feet, a person could be from the lamp and be detected is 3 feet.
What are circles and their types?
It has a curvature that runs the length of it. A semicircle is an arc with a measure of 180° that connects the diameter's endpoints. The circle is split in two by an arc. The major arc is the larger portion, and the minor arc is the smaller portion.
The general form of the equation of a circle is [tex]x^2 + y^2 + 2gx + 2fy + c =[/tex]0
The coordinates of the circle's center and radius are found using this general form, where g, f, and c are constants.
According to the given information:
(x+14)^2+(y-6)^2=9 is an equation of a circle.
When we compare it to the standard form of the equation of a circle i.e., we get the radius of the circle = 3
So, the greatest distance, in feet, a person could be from the lamp and be detected is 3 feet.
To know more about circle check out:
brainly.com/question/27961113
#SPJ4
