anonymous
  • anonymous
] The radius of a circle is multiplied by 10. Its area is _____ times bigger than the original circle.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@Mertsj Can you guide me please
anonymous
  • anonymous
@mathteacher1729
Mertsj
  • Mertsj
Lets make two circles. Let the radius of the first one be 1 and the radius of the second one be 10.

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More answers

anonymous
  • anonymous
alright
Mertsj
  • Mertsj
|dw:1362242349336:dw|
Mertsj
  • Mertsj
What is the area of the first circle? Just leave your answer in terms of pi.
Mertsj
  • Mertsj
What is the area of the second circle? Again, leave your answer in terms of pi.
anonymous
  • anonymous
but thats not what its asking for so the answer is 10
Mertsj
  • Mertsj
No, sweetheart. Just answer my questions. I'm trying to help you understand so you don't have to do so much work on the next problem you have that is similar to this one.
anonymous
  • anonymous
so the first one is 1
anonymous
  • anonymous
wait do i just do 10*10 cause its 10 times bigger that will give me 100
Mertsj
  • Mertsj
|dw:1362242536230:dw|
anonymous
  • anonymous
3.14 (1)
Mertsj
  • Mertsj
What is the area of the second circle? Don't use 3.14. Just leave your answer in terms of pi
anonymous
  • anonymous
10
anonymous
  • anonymous
ii ( 10)
Mertsj
  • Mertsj
|dw:1362242645972:dw|
anonymous
  • anonymous
alright so what next
Mertsj
  • Mertsj
So do you see that to find how many times bigger the second circle is we should divide the area of the second circle by the area of the first circle?
anonymous
  • anonymous
so the area of the first circle is 1
Mertsj
  • Mertsj
Please look at the drawing I made. For the little circle, it says A = what?
anonymous
  • anonymous
pie
Mertsj
  • Mertsj
And the area of the big circle is what?
anonymous
  • anonymous
100pie
Mertsj
  • Mertsj
And what is 100 pi divided by pi ?
anonymous
  • anonymous
100 / 3.14
Mertsj
  • Mertsj
|dw:1362242866060:dw|
anonymous
  • anonymous
100
anonymous
  • anonymous
when i divide a 100 by pie i get a decimal
Mertsj
  • Mertsj
|dw:1362242905509:dw|
anonymous
  • anonymous
it equals 100
Mertsj
  • Mertsj
Do you understand so far because here is the important part which will save you work in the future?
anonymous
  • anonymous
yes. i get it :) Thanks. can you help me with a few more questions im stuck on
anonymous
  • anonymous
please
Mertsj
  • Mertsj
Wait. I want to teach you the general principle of the problem we just did.
anonymous
  • anonymous
oh ok
Mertsj
  • Mertsj
In finding the area of a circle, what do you do with the radius?
Mertsj
  • Mertsj
You square the radius don't you?
anonymous
  • anonymous
yes
Mertsj
  • Mertsj
So, if we make the radius 10 times bigger and then square it, since 10 squared is 100, the new circle will be 100 times bigger. Do you understand that?
anonymous
  • anonymous
yes

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