Which of the following ratios can be derived from the formula for the circumference of a circle? Select all that apply. A. d/2C B .C/2r

Question

Which of the following ratios can be derived from the formula for the circumference of a circle? Select all that apply. A. d/2C B .C/2r C. C/2π D. C/π E. C/d HELP!!!!!!!!!!!!!!!!

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Camila 5 days 2021-12-29T03:06:22+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-12-29T03:07:47+00:00

    Answer:

    B, C, D, and E

    Step-by-step explanation:

    The formula for the circumference of a circle is

    C = \pi \: d

    Or

    C = 2 \pi \: r

    When we solve for r in the latter, we obtain:

    r =  \frac{C}{2 \pi}

    When we solve for π in the former, we get:

    \pi =  \frac{C}{d}

    If we solve for π in the latter, we get;

    \pi =  \frac{C}{2r}

    If we solve for d, in the former, we get

    d =  \frac{C}{\pi}

    Therefore the correct options are:

    B, C, D , and E

    0
    2021-12-29T03:08:11+00:00

    Step-by-step Solution:

    • Circumference of a circle can be computed using the formula C\:=\:\pi d , where C represents the circumference, d represents the diameter, and \pi =3.14.
    • In case, we have the radius to deal with instead of the diameter, just multiply it by 2 to determine the diameter.

    We can also use the formula for circumference of a circle using radius, which will be C = 2\pi r

    So,

    The formula for circumference of a circle using diameter

    • C\:=\:\pi d

    From above formula,  \pi can be computed as

    • \pi =  \frac{C}{d}

    From above formula, diameter d can be computed as

    • d =  \frac{C}{\pi}

    The formula for circumference of a circle using radius

    • C = 2\pi r

    From here, \pi can be computed as

    • \pi =  \frac{C}{2r}

    So, r can be computed as

    • r =  \frac{C}{2 \pi}

    Therefore, the options B, C, D and E are correct.

    Keywords: circumference of a circle, diameter, radius

    Learn more about circumference of a circle from brainly.com/question/9584340

    #learnwithBrainly

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