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Math Help - area and circumference

  1. #1
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    Post area and circumference

    Hi all,
    i am not able to get the relation between area and circumference in the given below.could any one please help me out


    If the circumference of a circle is decreased by 50% then the percentage of decrease in its area is?


    Regards
    Padma
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  2. #2
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    Circumference = 2*pi*r which can be rewritten as r= C/(2*pi)
    Area = pi*(r^2)
    substitute with 50% of C
    pi * ((1/2)(1/(2*pi))^2

    What is your coefficient ?
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  3. #3
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    Quote Originally Posted by Padma View Post
    Hi all,
    i am not able to get the relation between area and circumference in the given below.could any one please help me out


    If the circumference of a circle is decreased by 50% then the percentage of decrease in its area is?


    Regards
    Padma
    If you magnify the length of a shape by a scale factor k, then the area is magnified by k^2.

    In this case, the length scale factor k = \frac{1}{2}.

    So what is the area scale factor?
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