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    TL3687's Avatar
    TL3687 Posts: 8, Reputation: 1
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    #1

    Sep 8, 2013, 12:58 PM
    Help please
    A globe is 41.142 feet in diameter. Find its exact circumference (distance around) and then approximate its circumference using 3.14 for pi.
    Wondergirl's Avatar
    Wondergirl Posts: 39,354, Reputation: 5431
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    #2

    Sep 8, 2013, 01:00 PM
    Do you know the formula for circumference of a circle?
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    TL3687 Posts: 8, Reputation: 1
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    #3

    Sep 8, 2013, 01:13 PM
    C=2*pie*r
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    Wondergirl Posts: 39,354, Reputation: 5431
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    #4

    Sep 8, 2013, 01:17 PM
    So, plug the numbers into the formula.

    Circumference = 2 • π • radius = π • diameter
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    TL3687 Posts: 8, Reputation: 1
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    #5

    Sep 8, 2013, 01:18 PM
    But I don't know the radius only the diameter
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    Wondergirl Posts: 39,354, Reputation: 5431
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    #6

    Sep 8, 2013, 01:22 PM
    Quote Originally Posted by TL3687 View Post
    but i don't know the radius only the diameter
    What is the relationship of the diameter to the radius?

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    Also, Circumference = π • diameter
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    TL3687 Posts: 8, Reputation: 1
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    #7

    Sep 8, 2013, 01:24 PM
    So your saying that pie times 41.142 id the exact circumference?
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    Wondergirl Posts: 39,354, Reputation: 5431
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    #8

    Sep 8, 2013, 01:27 PM
    Quote Originally Posted by TL3687 View Post
    so your saying that pie times 41.142 id the exact circumference?
    apple pie or cherry pie?

    It's pi = 3.14.

    Circumference = π • diameter
    Circumference = 3.14 times the diameter
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    TL3687 Posts: 8, Reputation: 1
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    #9

    Sep 8, 2013, 01:28 PM
    Okay thank you
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    #10

    Sep 8, 2013, 01:34 PM
    So the circumference is 129.251404954
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    Wondergirl Posts: 39,354, Reputation: 5431
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    #11

    Sep 8, 2013, 01:36 PM
    Your instructions are: Find its exact circumference (distance around) and then approximate its circumference.
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    #12

    Sep 8, 2013, 01:40 PM
    Quote Originally Posted by TL3687 View Post
    so the circumference is 129.251404954
    I didn't get that. I got 129.18588.

    Just did it on an online calculator = 129.18588
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #13

    Sep 9, 2013, 05:51 AM
    There are two parts to this. First part is to find its "exact"circumference. This part is a trick question - it's impossible to write it out exactly because pi is an irrational number of infinite length, so the "exact" answer would have an infinite number of digits. However, given the fact that you are give the diameter to five significant digits the "best" answer would also have five significant digits, or 129.25. Tacking on more digits than that gives a false sense of accuracy, given that you only know the diameter to 5 decimals.

    The second part is to use an estimate of pi of 3.14. Judy gave an answer already, but the answer should be truncated to only 3 decimals given that the estimate of pi that was used is good to only three decimals. So 129 is the right answer.
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    Wondergirl Posts: 39,354, Reputation: 5431
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    #14

    Sep 9, 2013, 05:54 AM
    Quote Originally Posted by ebaines View Post
    The second part is to use an estimate of pi of 3.14. Judy gave an answer already, but the answer should be truncated to only 3 decimals given that the estimate of pi that was used is good to only three decimals. So 129 is the right answer.
    I'm not Judy, and he was told to use pi = 3.14. There are TWO parts to the answer.

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