To calculate the area of a circle, we can use the formula:
\[ A = \pi \times r^2 \]
where \( r \) is the radius of the circle. The diameter of the circle is given as 22 inches, so we first need to find the radius. The radius \( r \) is half the diameter:
\[ r = \frac{22}{2} = 11 \text{ inches} \]
Now we can substitute the radius into the area formula. Using \( \pi \approx 3.14 \):
\[ A = 3.14 \times (11)^2 \]
Calculating \( (11)^2 \):
\[ 11^2 = 121 \]
Now we can calculate the area:
\[ A = 3.14 \times 121 \] \[ A \approx 379.94 \text{ in}^2 \]
Rounding to the nearest hundredth, the area of the circle is:
\[ \boxed{379.94} \text{ in}^2 \]