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    crystalbivens's Avatar
    crystalbivens Posts: 489, Reputation: 26
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    #1

    Jul 20, 2008, 10:59 AM
    Radius Doubled
    If the radius of a circle is doubled, by what factor will the area change?

    Thanks
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #2

    Jul 20, 2008, 11:08 AM
    According to the principle of proprotionality, it's by 4.

    How? Well, you may insert into a certain radius, for example 2. Area will be pi (r^2), i.e. 4pi (we'll keep to pi to facilitate matters.).

    Now, double the radius, i.e. 4. New area is pi(4^2) , i.e. 16pi.

    You'll find out that the change in factor is squared the increase in radius (when you multiply that radius only though.)

    Hope that helped!
    crystalbivens's Avatar
    crystalbivens Posts: 489, Reputation: 26
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    #3

    Jul 20, 2008, 11:13 AM
    WOW this is all another language to me. Thanks for your help
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #4

    Jul 20, 2008, 11:17 AM
    Hum, you know what is pi?
    crystalbivens's Avatar
    crystalbivens Posts: 489, Reputation: 26
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    #5

    Jul 20, 2008, 11:32 AM
    Not really I'm trying to learn on my own by reading and so far not so good.
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #6

    Jul 20, 2008, 07:22 PM
    Well, this is an irrational number used in nearly all circular calculations including perimeter, area, volume of sphere, etc. You may come across it as or .

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