One circle has a circumference half as large as that of a second circle. Which ratio compares the diameter of the first circle t

Question

One circle has a circumference half as large as that of a
second circle. Which ratio compares the diameter of the
first circle to the diameter of the second circle?

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Khoii Minh 6 months 2021-07-25T03:20:56+00:00 1 Answers 29 views 0

Answers ( )

    0
    2021-07-25T03:22:07+00:00

    Answer:

    The ratio that compares the diameter of the first circle to the diameter of the second circle is \frac{1}{2}

    Step-by-step explanation:

    Circumference of a circle:

    The circumference of a circle of diameter d is given by:

    C = \pi d

    In which d is the diameter.

    One circle has a circumference half as large as that of a second circle.

    We have that:

    C_1 = \frac{C_2}{2}

    So

    \pi d_1 = \frac{\pi d_2}{2}

    Simplifying by \pi

    d_1 = \frac{d_2}{2}

    \frac{d_1}{d_2} = \frac{1}{2}

    The ratio that compares the diameter of the first circle to the diameter of the second circle is \frac{1}{2}

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