What is the exact area of a circle with diameter 1 mile?
pi divided by 4 square miles
pi divided by 2 square miles
pi square miles
2 times pi square miles
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OpenStudy (mertsj):
If the diameter is 1, what is the radius?
OpenStudy (anonymous):
a = pi * r^2
d = 2r
1 mi = 2r
r = .5 mi
a = pi * .25 mi
OpenStudy (anonymous):
i dont know?
OpenStudy (anonymous):
can you show me how to do it
OpenStudy (mertsj):
Divide the diameter by 2 to find the radius.
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OpenStudy (mertsj):
1 divided by 2 is 1/2 and that is the radius.
Now square the radius. What is (1/2)^2 ???
OpenStudy (anonymous):
0.25
OpenStudy (mertsj):
yes. 1/4
Now to find the area multiply 1/4 by pi so :
\[A=\frac{\pi}{4}\]
OpenStudy (mertsj):
Now pick the right answer from your list.
OpenStudy (anonymous):
ok thanks
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OpenStudy (mertsj):
What did you pick?
OpenStudy (anonymous):
its π4
OpenStudy (mertsj):
1, 2, 3, or 4 ???
OpenStudy (anonymous):
it's pi / 4 mi^2
OpenStudy (anonymous):
it's an alias for pi * .25 mi^2, since .25 = 1/4, pi * 1/4 = pi / 4
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OpenStudy (anonymous):
its 4
OpenStudy (mertsj):
"divided by" means "over"
OpenStudy (mertsj):
So now which is the correct answer
OpenStudy (anonymous):
pi divided by 4 square miles
OpenStudy (mertsj):
That's better.
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