A circle has a circumference of approximately 113.04

inches.

What is the diameter of the circle?

Use the approximation of 3.14
for π
in your calculations.

Responses

18
in.
18 in.

12
in.
12 in.

6
in.
6 in.

36
in.

1 answer

To find the diameter of the circle, we can use the formula for the circumference of a circle:

\[ C = \pi d \]

where \( C \) is the circumference and \( d \) is the diameter. We can rearrange this formula to solve for the diameter:

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

Given that the circumference \( C \) is approximately 113.04 inches and using \( \pi \approx 3.14 \):

\[ d = \frac{113.04}{3.14} \]

Now, let's perform the calculation:

\[ d \approx \frac{113.04}{3.14} \approx 36 \text{ in.} \]

So, the diameter of the circle is approximately 36 inches.

Therefore, the correct response is:

36 in.