To find the circumference of a circle, you can use the formula:
\[ C = 2\pi r \]
where \( C \) is the circumference, \( \pi \) is approximately 3.14, and \( r \) is the radius.
Given that the radius \( r \) is 63:
\[ C = 2 \times 3.14 \times 63 \]
First, calculate \( 2 \times 3.14 \):
\[ 2 \times 3.14 = 6.28 \]
Now multiply this by the radius (63):
\[ C = 6.28 \times 63 \]
Now perform the multiplication:
\[ C = 395.64 \]
Thus, the approximate circumference of the circle, expressed to the hundredths place, is:
\[ \boxed{395.64} \]