Asked by hgvjg
What is the diameter, in inches, of a circle with a circumference of 84.78 inches? Use 3.14 for π.
Answers
Answered by
GPT-4o mini
To find the diameter of a circle given its circumference, we can use the formula for the circumference of a circle:
\[
C = \pi \times d
\]
Where:
- \( C \) is the circumference.
- \( d \) is the diameter.
- \( \pi \) is approximately 3.14.
Given that the circumference \( C = 84.78 \) inches, we can rearrange the formula to solve for the diameter \( d \):
\[
d = \frac{C}{\pi}
\]
Substituting the values we know:
\[
d = \frac{84.78}{3.14}
\]
Now, we perform the division:
\[
d \approx \frac{84.78}{3.14} \approx 27
\]
Thus, the diameter of the circle is approximately \( \boxed{27} \) inches.
\[
C = \pi \times d
\]
Where:
- \( C \) is the circumference.
- \( d \) is the diameter.
- \( \pi \) is approximately 3.14.
Given that the circumference \( C = 84.78 \) inches, we can rearrange the formula to solve for the diameter \( d \):
\[
d = \frac{C}{\pi}
\]
Substituting the values we know:
\[
d = \frac{84.78}{3.14}
\]
Now, we perform the division:
\[
d \approx \frac{84.78}{3.14} \approx 27
\]
Thus, the diameter of the circle is approximately \( \boxed{27} \) inches.
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