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21 October, 15:25

In a circle, the circumference and diameter vary directly. Which of the following equations would allow you to find the diameter of a circle with a circumference of 154 if you know that in a second circle the diameter is 14 when the circumference is 44? A. 154d = (14) (44) B. 154/d = 44/14 C. 14d = 154/44

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  1. 21 October, 15:32
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    The answer is B. 154/d = 44/14

    In a circle, the circumference (C) and diameter (D) vary directly:

    C = kD

    k = C/D

    Circle 1: k = C1/D1

    Circle 2: k = C2/D2

    C1/D1 = C2/D2

    C1 = 154

    D1 = ?

    C2 = 44

    D2 = 14

    154/D1 = 44/14

    So, the choice B. is correct.
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