The circumference of a circular field is 298.3 yards. What is the diameter of the field? Use 3.14 for π and do not round your answer.yards

1. ### Break Down the Problem

To find the diameter of the circular field, we need to use the relationship between circumference and diameter. The formula for the circumference (C) of a circle is:

$C = \pi \times d$

where $d$ is the diameter and $\pi$ is a constant approximately equal to 3.14. Given that the circumference is 298.3 yards, we can rearrange the formula to find the diameter.

2. ### Relevant Concepts

From the formula given above, we can express diameter in terms of circumference:

$d = \frac{C}{\pi}$

3. ### Analysis and Detail

Now we will substitute the values into the formula:

$d = \frac{298.3 \text{ yards}}{3.14}$

4. ### Verify and Summarize

We will perform the calculation to find the diameter:

$d = \frac{298.3}{3.14} \approx 95.0 \text{ yards}$

Final Answer

The diameter of the circular field is approximately $95.0 \text{ yards}$.