The circumference \( C \) of a circle can be calculated using the formula:
\[ C = 2 \pi r \]
where \( r \) is the radius of the circle. In this case, the radius \( r \) is 3 feet.
Now, substituting the value of the radius into the formula:
\[ C = 2 \pi (3) = 6 \pi \]
To estimate the circumference, we can use the approximation for \( \pi \) as \( 3.14 \):
\[ C \approx 6 \times 3.14 = 18.84 \text{ feet} \]
Thus, the estimated circumference of the circle to the hundredths place is:
\[ \boxed{18.84} \text{ feet} \]
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