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OpenStudy (anonymous):
find the area of a circle whose circumference is 8 pie m?
a. 4 pie m squared
b. 8 pie m squared
c. 16 pie m squared
d. 64 pie m squared
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OpenStudy (anonymous):
@rational
OpenStudy (anonymous):
@AJ01
OpenStudy (rational):
start by finding the radius of circle using given info
OpenStudy (rational):
remember circumference of circle formula ?
OpenStudy (anonymous):
not rly
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OpenStudy (rational):
must be there in ur notes, check once
OpenStudy (anonymous):
dont have any
OpenStudy (anonymous):
so its 2 times 3.14 times 8 right?
OpenStudy (rational):
leave pie as pie, dont replace it with 3.14
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OpenStudy (rational):
\[2\pi r = 8\pi\]
solve \(r\) first
OpenStudy (anonymous):
24?
OpenStudy (rational):
\[2\pi r = 8\pi\]
cancel \(2\pi\) both sides
\[r = 4\]
OpenStudy (rational):
plug that in area of circle formula
OpenStudy (anonymous):
32
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OpenStudy (anonymous):
use the same equations area= pi*r^2, circ= 2*pi* r
you have the circ so find r using 2nd equation then use the value of r in the second equation....
OpenStudy (anonymous):
circ= 2*pi*r= 8 pi => r=(8 pi)/(2 pi)=4
area= pi r^2= pi (4)^2= 16 pi
OpenStudy (anonymous):
so is that the final answer???
OpenStudy (anonymous):
C
OpenStudy (anonymous):
yes
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