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!!!!!!!!!!!!!!!!

in progress 0
Camila 5 months 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

    [tex]C = \pi \: d[/tex]

    Or

    [tex]C = 2 \pi \: r[/tex]

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

    [tex]r = \frac{C}{2 \pi} [/tex]

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

    [tex]\pi = \frac{C}{d} [/tex]

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

    [tex]\pi = \frac{C}{2r} [/tex]

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

    [tex]d = \frac{C}{\pi} [/tex]

    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 [tex]C\:=\:\pi d[/tex] , where [tex]C[/tex] represents the circumference, [tex]d[/tex] represents the diameter, and [tex]\pi =3.14[/tex].
    • In case, we have the radius to deal with instead of the diameter, just multiply it by [tex]2[/tex] to determine the diameter.

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

    So,

    The formula for circumference of a circle using diameter

    • [tex]C\:=\:\pi d[/tex]

    From above formula,  [tex]\pi[/tex] can be computed as

    • [tex]\pi = \frac{C}{d}[/tex]

    From above formula, diameter [tex]d[/tex] can be computed as

    • [tex]d = \frac{C}{\pi}[/tex]

    The formula for circumference of a circle using radius

    • [tex]C = 2\pi r[/tex]

    From here, [tex]\pi[/tex] can be computed as

    • [tex]\pi = \frac{C}{2r}[/tex]

    So, [tex]r[/tex] can be computed as

    • [tex]r = \frac{C}{2 \pi}[/tex]

    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

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )