To find the circumference of a circle, you can use the formula:
\[ C = \pi d \]
where \( C \) is the circumference and \( d \) is the diameter of the circle.
Given that the diameter \( d = 4 \):
\[ C = \pi \times 4 \approx 3.14 \times 4 \approx 12.56 \]
The best estimation for the circumference, when rounded, would be approximately 13. If you're looking for an integer approximation, you would say the circumference is about 13.