To find the circumference of a circle, you can use the formula:
\[ C = \pi \times d \]
where \( C \) is the circumference and \( d \) is the diameter.
Given that the diameter \( d = 4 \) feet, we can calculate the circumference:
\[ C = \pi \times 4 \]
Using an approximate value for \( \pi \) (about 3.14):
\[ C \approx 3.14 \times 4 = 12.56 \text{ feet} \]
Therefore, the best estimation for the circumference of a circle with a diameter of 4 feet is approximately 13 feet.
So the answer is:
13 feet