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