Question

the circumference of a circular field is 210.38 yards. what is the diameter of the field? use 3.14 for π and do not round your answer.

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference \( C \) of a circle is \( C=\pi d \), where \( d \) is the diameter and \( \pi \) is approximately 3.14. We need to solve for \( d \), so we can rearrange the formula to \( d = \frac{C}{\pi} \).

Step2: Substitute the given values into the formula

We know that \( C = 210.38 \) yards and \( \pi=3.14 \). Substituting these values into the formula for \( d \), we get \( d=\frac{210.38}{3.14} \).

Step3: Perform the division

Calculating \( \frac{210.38}{3.14} \), we find that \( 210.38\div3.14 = 67 \).

Answer:

67