To find the area of the circle with a radius of 6 inches, you can use the formula for the area of a circle:
\[ A = \pi r^2 \]
Given that \(\pi \approx 3.14\) and the radius \(r = 6\) inches, we can calculate the area as follows:
\[ A = 3.14 \times (6)^2 \]
First, calculate \(6^2\):
\[ 6^2 = 36 \]
Now, substitute \(36\) back into the formula:
\[ A = 3.14 \times 36 \]
Now perform the multiplication:
\[ A = 113.04 \]
Thus, the area of the circle is:
\[ A = 113.04 \text{ in}^2 \]
Rounded to the nearest hundredth, the area remains:
\[ \boxed{113.04 \text{ in}^2} \]