act weird math question. help

Test Preparation ACT Preparation
1

<p>i tried my first official act math test and I couldn't understand this one.</p>

<p>The radio signal from the transmitter site of radio station
WGGW can be received only within a radius of 52 miles in
all directions from the transmitter site. A map of the region
of coverage of the radio signal is shown below in the
standard (x,y) coordinate plane, with the transmitter site at
the origin and 1 coordinate unit representing 1 mile.</p>

<ol>
<li>Which of the following is closest to the area, in square
miles, of the region of coverage of the radio signal?
F. 2,120
G. 2,700
H. 4,250
J. 8,500
K. 16,990</li>
</ol>

<p>of the region coverage? what are they talking about? what area?</p>

<p>also</p>

<p>The transmitter site of radio station WGGW and the
transmitter site of another radio station, WGWB, are
on the same highway 100 miles apart. The radio signal
from the transmitter site of WGWB can be received
only within a radius of 60 miles in all directions from
the WGWB transmitter site. For how many miles along
the highway can the radio signals of both stations be
received?
(Note: Assume the highway is straight.)
F. 8
G. 12
H. 40
J. 44
K. 48</p>

<p>now, this (i think) involves circles...but i just dont get the wording</p>

<p>can someone PLEASE help me</p>

<p>thanks</p>

<p>oh and if anyone wants to see the pic of this problem
<a href="http://www.act.org/aap/pdf/preparing.pdf%5B/url%5D"&gt;http://www.act.org/aap/pdf/preparing.pdf&lt;/a>
problems 54, 56</p>

2

<p>Question 54 is asking: what is the area of a circle with a radius of 52 miles? In this case, the area of coverage of the radio signal extends 52 miles in each direction. When this is graphed, the coverage area forms a circle with a radius of 52 miles.</p>

<p>Question 56:</p>

<p>One way to think of this is to imagine the highway with mile markers, with the first station being at mile marker 0. The first station’s signal extends to mile marker 52. The second station’s signal extends from mile marker 100, back to mile marker 40. The overlap is therefore 12 miles. </p>

<p>This problem can also be illustrated on a graph, with the x axis being the highway. The first station is at 0, with coverage extending out to 52 miles (that is, 0 + 52). The second station is at 100 (that is, 100 miles away from the first station), with coverage extending back along the x axis 60 miles (that is, 100 - 60).</p>

<p>Mathematically:
(0 + 52) - (100 - 60) = x.
52 - 40 = 12.</p>

<p>Good luck to you.</p>

3

<p>thanks Schokolade, I get 56 but can you (or anyone else) explain 52
do we find the area of the circle then see which is closest?</p>

4

<h1>54 is J because it is askin for the area pi r squared</h1>

5

<p>is that it? omg, i feel so tricked</p>

<p>thanks btw</p>

6

<p>interesting you must be in the same course i am, because those are the same exact example questions in the excel edge course</p>

7

<p>^
In fact that is the exact problem released in the free 2008-9 and 2009-10 practice test booklet that was mass released to every hs in the nation by ACT.</p>