What is the diameter of a circle with a circumference of 43.96 cm?

1 answer

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.