## 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 months 2021-12-29T03:06:22+00:00 2 Answers 0 views 0

## Answers ( )

1. 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

2. 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

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