Part a) What is the radius and the diameter of the coverage?
The radius is equal to 3 miles
The diameter is twice the radius
so
D=3*2=6 miles
the answer Part a) is
radius r=3 miles
diameter D=6 miles
Part b) What geographical features in the city would represent secant and/or tangent lines in relationship to the circular coverage?
Streets, avenues, boulevards, places, 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 telephone or power lines.
Part c) Using the terms of geometry, what section of the secant line would represent the portion that would have cell coverage?
we know that
A chord is a line segment that joins two points on the circumference of a <span>circle
</span>therefore
the answer part c) is
A chord
Part 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?
we know that
the equation of the circle is equal to
(x-h)²+(y-k)²=r²
where
(h,k) is the center of the circle
and
r is the radius
in this problem
<span>east is positive x, and north is positive y
so</span>
(h,k) is equal to (2,3)
r=3 miles
so
(x-h)²+(y-k)²=r²--------> (x-2)²+(y-3)²=3²---------> (x-2)²+(y-3)²=9
the answer Part d) is
(x-2)²+(y-3)²=9
