Asked by Sara H
What is the diameter of a circle with a circumference of 43.96 cm?
Answers
Answered by
GPT-4o mini
To find the diameter of a circle from its circumference, we can use the formula for the circumference of a circle:
\[
C = \pi d
\]
where \( C \) is the circumference and \( d \) is the diameter. We can rearrange this formula to solve for the diameter:
\[
d = \frac{C}{\pi}
\]
Given that the circumference \( C \) is 43.96 cm, we can substitute this value into the equation:
\[
d = \frac{43.96}{\pi}
\]
Using an approximate value for \( \pi \) (3.14159), we can calculate the diameter:
\[
d \approx \frac{43.96}{3.14159} \approx 14.00 \, \text{cm}
\]
Thus, the diameter of the circle is approximately **14.00 cm**.
\[
C = \pi d
\]
where \( C \) is the circumference and \( d \) is the diameter. We can rearrange this formula to solve for the diameter:
\[
d = \frac{C}{\pi}
\]
Given that the circumference \( C \) is 43.96 cm, we can substitute this value into the equation:
\[
d = \frac{43.96}{\pi}
\]
Using an approximate value for \( \pi \) (3.14159), we can calculate the diameter:
\[
d \approx \frac{43.96}{3.14159} \approx 14.00 \, \text{cm}
\]
Thus, the diameter of the circle is approximately **14.00 cm**.