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

B, C, D, and E

Step-by-step explanation:

The formula for the circumference of a circle is Or When we solve for r in the latter, we obtain: When we solve for π in the former, we get: If we solve for π in the latter, we get; If we solve for d, in the former, we get Therefore the correct options are:

B, C, D , and E

2. Step-by-step Solution:

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

We can also use the formula for circumference of a circle using radius, which will be So,

The formula for circumference of a circle using diameter

• From above formula, can be computed as

• From above formula, diameter can be computed as

• The formula for circumference of a circle using radius

• From here, can be computed as

• So, can be computed as

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

Keywords: circumference of a circle, diameter, radius