To find the area of a circle, you can use the formula:
\[ \text{Area} = \pi r^2 \]
where \( r \) is the radius of the circle. The radius is half of the diameter.
Given that the diameter of the circle is 8 inches, the radius \( r \) would be:
\[ r = \frac{8}{2} = 4 \text{ inches} \]
Now, substituting the radius into the area formula:
\[ \text{Area} = \pi (4^2) = \pi (16) = 16\pi \]
Using an approximation of \( \pi \approx 3.14 \):
\[ \text{Area} \approx 16 \times 3.14 \approx 50.24 \text{ sq. in} \]
Thus, the area of the circle is approximately 50 square inches.
The correct answer from your responses is:
50 sq. in.