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Math Help - circle algebra

  1. #1
    Member smmmc's Avatar
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    circle algebra {solved}

    A new advertising symbol is to consist of three concentric
    circles as shown, with the outer circle having a radius of 10 cm.
    It is desired that the three coloured regions cover the same area.
    Find the radius of the innermost circle in the figure shown.

    how i tried to work it out: i did 10/3 to find the radius of the inner but answer says 10 root 3 / 3
    above pic
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    Last edited by smmmc; March 8th 2009 at 07:43 PM.
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  2. #2
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    skeeter's Avatar
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    area of the entire circle is A = 100\pi \, cm^2

    let r be the smallest inner radius

    \pi r^2 = \frac{100\pi}{3}

    solve
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  3. #3
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by skeeter View Post
    area of the entire circle is A = 100\pi \, cm^2

    let r be the smallest inner radius

    \pi r^2 = \frac{100\pi}{3}

    solve
    Note that \frac{1}{\sqrt(3)} = \frac{\sqrt3}{3} you get it by multiplying by \frac{\sqrt(3)}{\sqrt(3)}
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