The function C(r) = 2pie-r gives the circumference of a circle of a radius 'r'. Find the circumference of a circle with radius 3.5inches. Give the exact value as a multiple of pie and an approximate value, rounded to the nearest hundredth.
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OpenStudy (aravindg):
this ones too easy
we have
C(r)=2*pi*r
here r=3
C(3)=2*pi*3
=6*pi
OpenStudy (aravindg):
now pi=3.14 approximately
hero (hero):
@ChristaB You should write your function as \[C(r) = 2\pi r\]
OpenStudy (aravindg):
substituting
c(3)=6*3.14
=18.84
OpenStudy (aravindg):
did that help?
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OpenStudy (anonymous):
isn't the 'r' = to 3.5?
OpenStudy (aravindg):
oops ...typo ..yes its 3.5
OpenStudy (aravindg):
sorry
OpenStudy (aravindg):
the answer will be 7*pi=21.98
OpenStudy (anonymous):
so it will look like this: 3.5 (\[7 \] + ???
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OpenStudy (aravindg):
it will be 2*3.5*pi
OpenStudy (aravindg):
2*3.5=7
OpenStudy (aravindg):
gt it ?
OpenStudy (anonymous):
so, punching the numbers into the calculator, using the pi button.. the answer I came up with is 21.9911..... is this correct?
OpenStudy (aravindg):
i gt 21.98
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OpenStudy (anonymous):
Now, to round that to the nearest hundredth.... the answer becomes 22.00???
OpenStudy (aravindg):
yepe
OpenStudy (aravindg):
gt it?
OpenStudy (anonymous):
I think so... my confusion right now though is the rounding to the nearest hundredth... does the 21.99114 rounding to the nearest hundredth become 22.