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the area of circle B is 36 times greater than the area of circle A. The radius of circle B is 30. what is the radius of circle A

  • math -

    Ab = pi*r^2 = 3.14 * 30^2 = 2837.4 = Area of B.

    Ab = Aa + 30Aa = 2827.4
    31Aa = 2827.4
    Aa = 91.2.

    Aa = pi*r^2 = 91.2
    r^2 = 91.2 / pi = 29.03
    r = 5.4 = Radius of circle A.

  • math -

    Correction: Ab = 2827.4.

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