Question
Find the circumference of a circle with a diameter of 15.4 inches. Round your answer to the tenths place.(1 point) Responses 48.4 inches 48.4 inches 745.1 inches 745.1 inches 186.3 inches 186.3 inches 24.2 inches
Answers
GPT-4o mini
To find the circumference of a circle, you can use the formula:
\[
C = \pi \times d
\]
where \( C \) is the circumference and \( d \) is the diameter.
Given the diameter \( d = 15.4 \) inches, you can calculate the circumference as follows:
\[
C = \pi \times 15.4
\]
Using \( \pi \approx 3.14 \):
\[
C \approx 3.14 \times 15.4 \approx 48.076
\]
Rounding this to the tenths place gives:
\[
C \approx 48.1 \text{ inches}
\]
However, it looks like the closest option to the calculated value is 48.4 inches, which seems to be a rounding discrepancy with \( \pi \). Let’s recalculate using a more precise value for \( \pi \) (approximately 3.14159):
\[
C \approx 3.14159 \times 15.4 \approx 48.38
\]
Rounding this to the tenths place also gives:
\[
C \approx 48.4 \text{ inches}
\]
So the correct response is **48.4 inches**.
\[
C = \pi \times d
\]
where \( C \) is the circumference and \( d \) is the diameter.
Given the diameter \( d = 15.4 \) inches, you can calculate the circumference as follows:
\[
C = \pi \times 15.4
\]
Using \( \pi \approx 3.14 \):
\[
C \approx 3.14 \times 15.4 \approx 48.076
\]
Rounding this to the tenths place gives:
\[
C \approx 48.1 \text{ inches}
\]
However, it looks like the closest option to the calculated value is 48.4 inches, which seems to be a rounding discrepancy with \( \pi \). Let’s recalculate using a more precise value for \( \pi \) (approximately 3.14159):
\[
C \approx 3.14159 \times 15.4 \approx 48.38
\]
Rounding this to the tenths place also gives:
\[
C \approx 48.4 \text{ inches}
\]
So the correct response is **48.4 inches**.