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rebecca1233

  • 2 years 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
    • 2 years ago
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    @Mertsj Can you guide me please

  2. rebecca1233
    • 2 years ago
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    @mathteacher1729

  3. Mertsj
    • 2 years 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
    • 2 years ago
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    alright

  5. Mertsj
    • 2 years ago
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    |dw:1362242349336:dw|

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

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

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

  9. Mertsj
    • 2 years 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
    • 2 years ago
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    so the first one is 1

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

  12. Mertsj
    • 2 years ago
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    |dw:1362242536230:dw|

  13. rebecca1233
    • 2 years ago
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    3.14 (1)

  14. Mertsj
    • 2 years 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
    • 2 years ago
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    10

  16. rebecca1233
    • 2 years ago
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    ii ( 10)

  17. Mertsj
    • 2 years ago
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    |dw:1362242645972:dw|

  18. rebecca1233
    • 2 years ago
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    alright so what next

  19. Mertsj
    • 2 years 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
    • 2 years ago
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    so the area of the first circle is 1

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

  22. rebecca1233
    • 2 years ago
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    pie

  23. Mertsj
    • 2 years ago
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    And the area of the big circle is what?

  24. rebecca1233
    • 2 years ago
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    100pie

  25. Mertsj
    • 2 years ago
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    And what is 100 pi divided by pi ?

  26. rebecca1233
    • 2 years ago
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    100 / 3.14

  27. Mertsj
    • 2 years ago
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    |dw:1362242866060:dw|

  28. rebecca1233
    • 2 years ago
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    100

  29. rebecca1233
    • 2 years ago
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    when i divide a 100 by pie i get a decimal

  30. Mertsj
    • 2 years ago
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    |dw:1362242905509:dw|

  31. rebecca1233
    • 2 years ago
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    it equals 100

  32. Mertsj
    • 2 years 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
    • 2 years ago
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    yes. i get it :) Thanks. can you help me with a few more questions im stuck on

  34. rebecca1233
    • 2 years ago
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    please

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

  36. rebecca1233
    • 2 years ago
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    oh ok

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

  38. Mertsj
    • 2 years ago
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    You square the radius don't you?

  39. rebecca1233
    • 2 years ago
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    yes

  40. Mertsj
    • 2 years 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
    • 2 years ago
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    yes

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