Mathematics
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OpenStudy (anonymous):
MEDAL FOR BEST ANSWER
The circumference of a circle is 30 pi cm. Find the diameter, the radius, and the length of an arc of 170 degrees
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OpenStudy (anonymous):
Please help :(
OpenStudy (anonymous):
RULE #1: What is the formula for the circumference of a circle?
OpenStudy (anonymous):
umm not sure :( @Tajar
OpenStudy (anonymous):
3.14 times radius?
OpenStudy (anonymous):
C= 2πr
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OpenStudy (anonymous):
They give us C
OpenStudy (anonymous):
okay so the equation would be 30pi =2pi times r? divide the pi's to get the radius?
OpenStudy (anonymous):
yes!
OpenStudy (anonymous):
good job!
OpenStudy (anonymous):
Then you get 2r=30
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OpenStudy (anonymous):
so the radius is 15?
OpenStudy (anonymous):
yes!
OpenStudy (anonymous):
and then you know the diameter, right?
OpenStudy (anonymous):
wouldnt it be 30?
OpenStudy (anonymous):
d=2r
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OpenStudy (anonymous):
so yes
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
Now....do you know the RULE to find the length of an arc?
OpenStudy (anonymous):
add them together?
OpenStudy (anonymous):
Here is the RULE:
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OpenStudy (anonymous):
The length of arc n degrees = n degrees/360 degrees (2pi x r)
OpenStudy (anonymous):
sorrrry something just bit me
OpenStudy (anonymous):
So basically an arc is just a percentage of the entire 360 degree circumference of a circle
OpenStudy (anonymous):
so 170/360 x 2pi (15)?
OpenStudy (anonymous):
OH NO!
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OpenStudy (anonymous):
ARE YOU OK?
OpenStudy (anonymous):
Yeah, I am.
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
Great Job!!
OpenStudy (anonymous):
i got 85 pi over 6..
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OpenStudy (anonymous):
So (170/360) = .47
OpenStudy (anonymous):
Then .47 (30pi)
=14.1pi
OpenStudy (anonymous):
you got the correct answer...just finish divding 85/6
OpenStudy (anonymous):
how did you get 30 pi?
OpenStudy (anonymous):
2pi x r = 2 x pi x 15 = 30 pi
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OpenStudy (anonymous):
oh ok
thanks!
OpenStudy (anonymous):
yw :)
OpenStudy (anonymous):
I might call you back for more help! I suck at this :(
OpenStudy (wolf1728):
Did you solve the arc length yet?
OpenStudy (anonymous):
yes I did
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OpenStudy (wolf1728):
Okay - I joined this discussion so late I thought I skipped over it.