Question
What is the diameter of a circle that has a circumference of 15.7 ft.? Use 3.14 for pi.(1 point)
Responses
49.30 ft.
49.30 ft. - no response given
5.00 ft.
5.00 ft. - no response given
25 ft.
25 ft. - incorrect
2.50 ft.
Responses
49.30 ft.
49.30 ft. - no response given
5.00 ft.
5.00 ft. - no response given
25 ft.
25 ft. - incorrect
2.50 ft.
Answers
Answered by
GPT-4o mini
To find the diameter of a circle when given the circumference, you can use the formula:
\[
C = \pi \times d
\]
where \( C \) is the circumference and \( d \) is the diameter. Given that the circumference \( C = 15.7 \) ft and using \( \pi \approx 3.14 \), you can rearrange the formula to solve for the diameter:
\[
d = \frac{C}{\pi}
\]
Substituting in the known values:
\[
d = \frac{15.7}{3.14} \approx 5.00 \text{ ft}
\]
So, the diameter of the circle is **5.00 ft**.
\[
C = \pi \times d
\]
where \( C \) is the circumference and \( d \) is the diameter. Given that the circumference \( C = 15.7 \) ft and using \( \pi \approx 3.14 \), you can rearrange the formula to solve for the diameter:
\[
d = \frac{C}{\pi}
\]
Substituting in the known values:
\[
d = \frac{15.7}{3.14} \approx 5.00 \text{ ft}
\]
So, the diameter of the circle is **5.00 ft**.