anonymous
  • anonymous
Find the exact circumference of a circle with an area equal to 36 sq. in. a. 12 pi b. 18 pi c. 324 pi
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
12 Pi
anonymous
  • anonymous
How do you find the radius from this info? Or lack thereof
jim_thompson5910
  • jim_thompson5910
A = pi*r^2 36 = 3.14*r^2 solve for r to get r = ??? once you know the value of r, you can find the circumference C C = 2*pi*r

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anonymous
  • anonymous
But how do you find R? Thats where Im stuck
anonymous
  • anonymous
the question wants the circumference function in pi... so we can get the relation
jim_thompson5910
  • jim_thompson5910
did you divide both sides of 36 = 3.14*r^2 by 3.14 ?
anonymous
  • anonymous
No.
jim_thompson5910
  • jim_thompson5910
what do you get when you do so
anonymous
  • anonymous
Well 36/3.14 is 11.46
jim_thompson5910
  • jim_thompson5910
now if r^2 = 11.46, then what must r be?
anonymous
  • anonymous
What does ^ mean?
jim_thompson5910
  • jim_thompson5910
r^2 means r squared
jim_thompson5910
  • jim_thompson5910
r^2 = r*r
jim_thompson5910
  • jim_thompson5910
for example, 5^2 = 5*5 = 25
anonymous
  • anonymous
So multiply 11.46 by 11.46?
anonymous
  • anonymous
Wait, no. 5.73 multiplies by 5.73?
anonymous
  • anonymous
Multiplied?
jim_thompson5910
  • jim_thompson5910
some number, multiplied by itself, gives 11.46
jim_thompson5910
  • jim_thompson5910
to find this number, you take the square root of 11.46
jim_thompson5910
  • jim_thompson5910
it turns out that sqrt(11.46) = 3.385 roughly which means 3.385*3.385 = 11.458225, pretty close to 11.46
anonymous
  • anonymous
So then i have 36=3.14*3.38^2?
jim_thompson5910
  • jim_thompson5910
now use that r value to find the circumference C use C = 2*pi*r
anonymous
  • anonymous
So two times pi times 3.38?
jim_thompson5910
  • jim_thompson5910
2 times pi times 3.38
jim_thompson5910
  • jim_thompson5910
oh sry didn't see your two, nvm
jim_thompson5910
  • jim_thompson5910
yes you are correct
anonymous
  • anonymous
21.23 is what I got.
jim_thompson5910
  • jim_thompson5910
Question: does the original "36" given in the problem also have a "pi" attached to it?
anonymous
  • anonymous
Yes
jim_thompson5910
  • jim_thompson5910
ok so that changes things a bit
anonymous
  • anonymous
Sorry.
jim_thompson5910
  • jim_thompson5910
if the area is A = 36pi, then A = pi*r^2 36pi = pi*r^2 36 = r^2 ... the pi terms cancel if r^2 = 36, then r = ??
anonymous
  • anonymous
6?
jim_thompson5910
  • jim_thompson5910
yes, then you plug that into C = 2*pi*r
anonymous
  • anonymous
37.69?
jim_thompson5910
  • jim_thompson5910
notice how each answer has a 'pi' in it so ignore the pi for now compute 2*r and then tack on 'pi' at the end
jim_thompson5910
  • jim_thompson5910
example: if r = 7, then 2*pi*r = 14pi
anonymous
  • anonymous
Im still getting the same thing.
jim_thompson5910
  • jim_thompson5910
you should get 12pi
anonymous
  • anonymous
2 times R which is 6 means 12. Then 12*pi. The answer I'm getting is still 37.69
jim_thompson5910
  • jim_thompson5910
2*r = 2*6 = 12
jim_thompson5910
  • jim_thompson5910
you leave it as 12pi
anonymous
  • anonymous
OH! Okay.
anonymous
  • anonymous
Thank you so much! Sorry I am so bad at this!
jim_thompson5910
  • jim_thompson5910
whenever you see the key term "exact" that means to leave the 'pi's as they are
jim_thompson5910
  • jim_thompson5910
you did good
anonymous
  • anonymous
Oh. Sounds good. Thank you that means a lot!
jim_thompson5910
  • jim_thompson5910
you're welcome

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