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rebecca1233

  • one year ago

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

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  1. rebecca1233
    • one year ago
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    @Mertsj Can you guide me please

  2. rebecca1233
    • one year ago
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    @mathteacher1729

  3. Mertsj
    • one year ago
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    Lets make two circles. Let the radius of the first one be 1 and the radius of the second one be 10.

  4. rebecca1233
    • one year ago
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    alright

  5. Mertsj
    • one year ago
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    |dw:1362242349336:dw|

  6. Mertsj
    • one year ago
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    What is the area of the first circle? Just leave your answer in terms of pi.

  7. Mertsj
    • one year ago
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    What is the area of the second circle? Again, leave your answer in terms of pi.

  8. rebecca1233
    • one year ago
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    but thats not what its asking for so the answer is 10

  9. Mertsj
    • one year ago
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    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.

  10. rebecca1233
    • one year ago
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    so the first one is 1

  11. rebecca1233
    • one year ago
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    wait do i just do 10*10 cause its 10 times bigger that will give me 100

  12. Mertsj
    • one year ago
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    |dw:1362242536230:dw|

  13. rebecca1233
    • one year ago
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    3.14 (1)

  14. Mertsj
    • one year ago
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    What is the area of the second circle? Don't use 3.14. Just leave your answer in terms of pi

  15. rebecca1233
    • one year ago
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    10

  16. rebecca1233
    • one year ago
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    ii ( 10)

  17. Mertsj
    • one year ago
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    |dw:1362242645972:dw|

  18. rebecca1233
    • one year ago
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    alright so what next

  19. Mertsj
    • one year ago
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    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?

  20. rebecca1233
    • one year ago
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    so the area of the first circle is 1

  21. Mertsj
    • one year ago
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    Please look at the drawing I made. For the little circle, it says A = what?

  22. rebecca1233
    • one year ago
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    pie

  23. Mertsj
    • one year ago
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    And the area of the big circle is what?

  24. rebecca1233
    • one year ago
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    100pie

  25. Mertsj
    • one year ago
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    And what is 100 pi divided by pi ?

  26. rebecca1233
    • one year ago
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    100 / 3.14

  27. Mertsj
    • one year ago
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    |dw:1362242866060:dw|

  28. rebecca1233
    • one year ago
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    100

  29. rebecca1233
    • one year ago
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    when i divide a 100 by pie i get a decimal

  30. Mertsj
    • one year ago
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    |dw:1362242905509:dw|

  31. rebecca1233
    • one year ago
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    it equals 100

  32. Mertsj
    • one year ago
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    Do you understand so far because here is the important part which will save you work in the future?

  33. rebecca1233
    • one year ago
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    yes. i get it :) Thanks. can you help me with a few more questions im stuck on

  34. rebecca1233
    • one year ago
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    please

  35. Mertsj
    • one year ago
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    Wait. I want to teach you the general principle of the problem we just did.

  36. rebecca1233
    • one year ago
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    oh ok

  37. Mertsj
    • one year ago
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    In finding the area of a circle, what do you do with the radius?

  38. Mertsj
    • one year ago
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    You square the radius don't you?

  39. rebecca1233
    • one year ago
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    yes

  40. Mertsj
    • one year ago
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    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?

  41. rebecca1233
    • one year ago
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    yes

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