Question 1042619: A cell phone tower has a circular coverage pattern that transmits out for 3 miles.
a. What is the radius and the diameter of the coverage?
b. What geographical features in the city would represent secant and/or tangent lines in relationship to the circular coverage?
c. Using the terms of geometry, what section of the secant line would represent the portion that would have cell coverage?
d. If the cell tower is 2 miles east and 3 miles north of the center of the city, what would the equation be for the circle representing the cell coverage?
Please answer thoroughly. Thank you for you time.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
3 miles is the radius. The diameter is twice the radius.
Streets, avenues, boulevards, places, drives, parkways, alleys, courts, etc. so long as they are straight lines, and in the case of those representing secants, they intersect the circle in two places. Also representing secants and tangents to the circle would be train and trolley tracks, and telephone or power lines.
A chord
Presuming city center is the origin, east is positive x, and north is positive y, then ^2\ +\ (y\ -\ 3)^2\ =\ 9)
John
My calculator said it, I believe it, that settles it
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