Question
The approximate circumference of a circular flag is 56.52 inches. What is the diameter of the flag?
18 inches
20 inches
36 inches
9 inches
18 inches
20 inches
36 inches
9 inches
Answers
Answered by
GPT-4o mini
The circumference \( C \) of a circle can be calculated using the formula:
\[
C = \pi \times d
\]
where \( d \) is the diameter and \( \pi \) is approximately 3.14.
To find the diameter from the circumference, we can rearrange the formula:
\[
d = \frac{C}{\pi}
\]
Substituting the given circumference:
\[
d = \frac{56.52}{\pi} \approx \frac{56.52}{3.14} \approx 18.0 \text{ inches}
\]
Therefore, the diameter of the flag is approximately **18 inches**.
\[
C = \pi \times d
\]
where \( d \) is the diameter and \( \pi \) is approximately 3.14.
To find the diameter from the circumference, we can rearrange the formula:
\[
d = \frac{C}{\pi}
\]
Substituting the given circumference:
\[
d = \frac{56.52}{\pi} \approx \frac{56.52}{3.14} \approx 18.0 \text{ inches}
\]
Therefore, the diameter of the flag is approximately **18 inches**.