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anonymous

  • one year ago

Help: If a circle has a circumference of C, what is the area of the circle in terms of C? A=πC A=C2/4π A=2C/π A=2C2

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  1. anonymous
    • one year ago
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    i dnt know i have a feeling its C but im not quite shure @Rushwr

  2. Jhannybean
    • one year ago
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    \[\sf C=2\pi r\]\[\sf A=\pi r^2\]If we use our equation of circumference and solve for r, we wcan input that into our equation for Area to set it in terms of C \[\sf C = 2\pi r \implies r = \frac{C}{2\pi}\]\[\sf A= \pi\left(\frac{C}{2\pi}\right)^2\]

  3. Jhannybean
    • one year ago
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    Now let's expand our function of Area. \[\sf A =\cancel{ \pi} \left(\frac{C^2}{4 \cancel{\pi^2}\pi}\right)\]\[\sf \boxed{A = \frac{C^2}{4\pi}}\]

  4. Jhannybean
    • one year ago
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    Do you follow, @bruno101 ?

  5. anonymous
    • one year ago
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    yes i see it seems a little complicated but once u follow its easier @Jhannybean

  6. Jhannybean
    • one year ago
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    When they say `in terms of C` they want the function (Area) in terms of Circumference. So basically... \(A(\text{circumference})\)

  7. anonymous
    • one year ago
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    OK I SEE THANKS!! @Jhannybean

  8. Jhannybean
    • one year ago
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    No problem :)

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