Question
What is the diameter of a circle that has a circumference of 15.7 ft.? Use 3.14 for pi.(1 point)
Responses
2.50 ft.
2.50 ft.
25 ft.
25 ft.
49.30 ft.
49.30 ft.
5.00 ft.
Responses
2.50 ft.
2.50 ft.
25 ft.
25 ft.
49.30 ft.
49.30 ft.
5.00 ft.
Answers
GPT-4o mini
To find the diameter of a circle given its circumference, you can use the formula for the circumference:
\[ C = \pi \times d \]
where \( C \) is the circumference and \( d \) is the diameter. Rearranging this formula to solve for the diameter gives:
\[ d = \frac{C}{\pi} \]
Given that the circumference \( C = 15.7 \) ft and using \( \pi \approx 3.14 \):
\[ d = \frac{15.7}{3.14} \]
Calculating this:
\[ d \approx 5.00 \, \text{ft} \]
So, the diameter of the circle is **5.00 ft.**
\[ C = \pi \times d \]
where \( C \) is the circumference and \( d \) is the diameter. Rearranging this formula to solve for the diameter gives:
\[ d = \frac{C}{\pi} \]
Given that the circumference \( C = 15.7 \) ft and using \( \pi \approx 3.14 \):
\[ d = \frac{15.7}{3.14} \]
Calculating this:
\[ d \approx 5.00 \, \text{ft} \]
So, the diameter of the circle is **5.00 ft.**