To calculate the area of a circle, we use the formula:
\[ A = \pi r^2 \]
Given that the diameter of the circle is 22 inches, we first need to find the radius (r). The radius is half of the diameter:
\[ r = \frac{22}{2} = 11 \text{ inches} \]
Now we can calculate the area using \( \pi \approx 3.14 \):
\[ A = 3.14 \times (11)^2 \]
Calculating \( (11)^2 \):
\[ 11^2 = 121 \]
Now substitute back into the area formula:
\[ A = 3.14 \times 121 \]
Calculating the area:
\[ A \approx 3.14 \times 121 = 380.94 \]
Therefore, the area of the circle is:
\[ A \approx 380.94 \text{ in}^2 \]
Rounding to the nearest hundredth, the final area is:
\[ \boxed{380.94 \text{ in}^2} \]