To find the area of a circle, you can use the formula:
\[ A = \pi r^2 \]
Given that the diameter of the circle is 8 inches, the radius \( r \) is half of the diameter:
\[ r = \frac{8}{2} = 4 \text{ inches} \]
Now, plug the radius into the area formula. Using \( \pi \approx 3.14 \):
\[ A = 3.14 \times (4)^2 \]
Calculating \( (4)^2 \):
\[ (4)^2 = 16 \]
Now multiply:
\[ A = 3.14 \times 16 \]
Calculating \( 3.14 \times 16 \):
\[ A = 50.24 \]
So, the area of the circle is
\[ A \approx 50.24 \text{ in}^2 \]
Rounded to the nearest hundredth, the final answer is:
\[ A = 50.24 \text{ in}^2 \]