] The radius of a circle is multiplied by 10. Its area is _____ times bigger than the original circle.

- anonymous

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- anonymous

@Mertsj Can you guide me please

- anonymous

@mathteacher1729

- 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

alright

- Mertsj

|dw:1362242349336:dw|

- Mertsj

What is the area of the first circle? Just leave your answer in terms of pi.

- Mertsj

What is the area of the second circle? Again, leave your answer in terms of pi.

- anonymous

but thats not what its asking for
so the answer is 10

- 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

so the first one is 1

- anonymous

wait do i just do 10*10 cause its 10 times bigger that will give me 100

- Mertsj

|dw:1362242536230:dw|

- anonymous

3.14 (1)

- Mertsj

What is the area of the second circle? Don't use 3.14. Just leave your answer in terms of pi

- anonymous

10

- anonymous

ii ( 10)

- Mertsj

|dw:1362242645972:dw|

- anonymous

alright so what next

- 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

so the area of the first circle is 1

- Mertsj

Please look at the drawing I made. For the little circle, it says A = what?

- anonymous

pie

- Mertsj

And the area of the big circle is what?

- anonymous

100pie

- Mertsj

And what is 100 pi divided by pi ?

- anonymous

100 / 3.14

- Mertsj

|dw:1362242866060:dw|

- anonymous

100

- anonymous

when i divide a 100 by pie i get a decimal

- Mertsj

|dw:1362242905509:dw|

- anonymous

it equals 100

- Mertsj

Do you understand so far because here is the important part which will save you work in the future?

- anonymous

yes. i get it :) Thanks. can you help me with a few more questions im stuck on

- anonymous

please

- Mertsj

Wait. I want to teach you the general principle of the problem we just did.

- anonymous

oh ok

- Mertsj

In finding the area of a circle, what do you do with the radius?

- Mertsj

You square the radius don't you?

- anonymous

yes

- 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

yes

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