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