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21 November, 01:24

The sum of the areas of two circles is 80 square meters. Find the length of a radius of each circle if one of them is twice as long as the other.

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  1. 21 November, 03:53
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    The area of a circle is given or expressed as:

    A = (pi) r^2

    The sum of the areas of two circles is 80 square meters.

    A1 + A2 = 80

    (pi) r1^2 + (pi) r2^2 = 80

    where r1 = 2r2

    (pi) 2r2^2 + (pi) r2^2 = 80

    r2 = 2.91

    r1 = 5.83
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