Mathematics
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OpenStudy (anonymous):
Which of the following expresses the circumference
of a circle in terms of A, its area?
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hartnn (hartnn):
C=2pir,A=pi r^2
just divide.
OpenStudy (anonymous):
ehh
OpenStudy (anonymous):
Let me get a pen...
hartnn (hartnn):
ok, square C
hartnn (hartnn):
then put the value of r^2 from A=pi r^2 in your squared expression.,
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OpenStudy (anonymous):
ehh
OpenStudy (anonymous):
2pir/pir squared?
OpenStudy (anonymous):
how did you do it again?
hartnn (hartnn):
give your options...
OpenStudy (anonymous):
2A,2A sqrt pi, 2pi sqrt A, 2 sqrt pi times A, 2piA
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hartnn (hartnn):
your options has r in it ?
OpenStudy (anonymous):
tips?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
it has sqrt
hartnn (hartnn):
nice, take square of C
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OpenStudy (anonymous):
square or square root?
hartnn (hartnn):
we will take square root afterwards, after we eliminate r, first take square
OpenStudy (anonymous):
(2pir) quantity squared?
hartnn (hartnn):
yup.
find r^2 from A=pi r^2
OpenStudy (anonymous):
I got 4pi when I divided 4pi sq. r sq./pir sq.
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OpenStudy (anonymous):
Is that right?
hartnn (hartnn):
didn't get u,but
r^2 = A/pi.
C^2 = 4 pi^2 r^2
=4 pi^2 A/pi
got this ?
OpenStudy (anonymous):
wait
OpenStudy (anonymous):
you also sq. the circumference
OpenStudy (anonymous):
so hold up
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OpenStudy (anonymous):
C sq.=4 pi sq. r sq.?
OpenStudy (anonymous):
right?
hartnn (hartnn):
yup
OpenStudy (anonymous):
Where did you get A/pi?
hartnn (hartnn):
A = pi r^2
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OpenStudy (anonymous):
did you divided circumference sq. by area?
hartnn (hartnn):
i found r^2 from A
and put it in C^2
OpenStudy (anonymous):
cause I got 4pi when I did that
OpenStudy (anonymous):
wait
OpenStudy (anonymous):
so you solved for radius sq.?
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hartnn (hartnn):
yup.
OpenStudy (anonymous):
k...
OpenStudy (anonymous):
ehh
OpenStudy (anonymous):
ehh
OpenStudy (anonymous):
I am still confused
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OpenStudy (anonymous):
how did we solve for r squared?
hartnn (hartnn):
ok. then what are u comfortable with?
OpenStudy (anonymous):
I know that we sq. C to get 4pi sq. r sq.
OpenStudy (anonymous):
so what next?
hartnn (hartnn):
A=pi r^2
so whats r^2 from here ?
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OpenStudy (anonymous):
A/pi?
OpenStudy (anonymous):
A/pi= r sq.?
hartnn (hartnn):
yup, now put that in C sq.
OpenStudy (anonymous):
k
OpenStudy (anonymous):
4 pi sq. times A/pi?
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hartnn (hartnn):
now cancel 1 pi
OpenStudy (anonymous):
4 pi times A?
hartnn (hartnn):
yes. that is C^2
so what is C ?
OpenStudy (anonymous):
2 times sq. pi times A?
hartnn (hartnn):
2 sqrt pi times A
yup
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OpenStudy (anonymous):
phew, that problem took a while