To calculate the area of a circle, you can use the formula:
\[ A = \pi r^2 \]
In your case, the radius \( r \) is 4 inches. We can use \( \pi \approx 3.14 \) for the calculations.
\[ A = 3.14 \times (4)^2 \]
First, calculate \( (4)^2 \):
\[ (4)^2 = 16 \]
Now, plug this value back into the area formula:
\[ A = 3.14 \times 16 \]
Now, perform the multiplication:
\[ A = 50.24 \]
So, the area of the circle is:
\[ A \approx 50.24 \text{ in}^2 \]
Rounded to the nearest hundredth, the area is \( 50.24 \text{ in}^2 \).