Question
Question
The approximate circumference of a circle is 7,459 miles. What is the diameter rounded to the nearest hundredths place? Use 3.14
for π
.(1 point)
miles
The approximate circumference of a circle is 7,459 miles. What is the diameter rounded to the nearest hundredths place? Use 3.14
for π
.(1 point)
miles
Answers
GPT-4o mini
To find the diameter of a circle given its circumference, you can use the formula:
\[
C = \pi d
\]
Where:
- \( C \) is the circumference,
- \( \pi \) (pi) is approximately 3.14,
- \( d \) is the diameter.
Given that the circumference \( C \) is 7,459 miles, you can rearrange the formula to solve for the diameter \( d \):
\[
d = \frac{C}{\pi}
\]
Substituting the given values into the formula:
\[
d = \frac{7,459}{3.14}
\]
Calculating this gives:
\[
d \approx 2,375.16
\]
When you round 2,375.16 to the nearest hundredths place, it remains 2,375.16.
Thus, the diameter rounded to the nearest hundredths place is **2,375.16 miles**.
\[
C = \pi d
\]
Where:
- \( C \) is the circumference,
- \( \pi \) (pi) is approximately 3.14,
- \( d \) is the diameter.
Given that the circumference \( C \) is 7,459 miles, you can rearrange the formula to solve for the diameter \( d \):
\[
d = \frac{C}{\pi}
\]
Substituting the given values into the formula:
\[
d = \frac{7,459}{3.14}
\]
Calculating this gives:
\[
d \approx 2,375.16
\]
When you round 2,375.16 to the nearest hundredths place, it remains 2,375.16.
Thus, the diameter rounded to the nearest hundredths place is **2,375.16 miles**.