The formula for the circumference \( C \) of a circle is:
\[ C = 2\pi r \]
where \( r \) is the radius. Given that the radius \( r \) is 3 feet, we can substitute that value into the formula:
\[ C = 2 \times 3.14 \times 3 \]
Calculating that:
\[ C = 2 \times 3.14 \times 3 = 6.28 \times 3 = 18.84 \]
Thus, the estimated circumference of the circle, rounded to the hundredths place, is:
\[ \boxed{18.84} \text{ feet} \]