To calculate the area of the circle shown in the image, we need to use the formula for the area of a circle:

$A = \pi r^2$

The image gives the diameter as 16 inches, so the radius $r$ is half of that:

$r = \frac{16}{2} = 8 \, \text{inches}$

Using $\pi \approx 3.14$, we can now plug the radius into the formula:

$A = 3.14 \times (8)^2 = 3.14 \times 64 = 200.96 \, \text{square inches}$

So, the area of the circle is approximately 200.96 in², rounded to the nearest hundredth.

Would you like a detailed explanation or have any further questions?

Here are 5 questions that build upon this:

1. What is the relationship between the radius and diameter of a circle?
2. How would the area change if the diameter were doubled?
3. Why is $\pi$ important in calculating the area of a circle?
4. Can you calculate the circumference of this circle as well?
5. How does changing the radius affect the area of the circle?

Tip: Always remember that the radius is half of the diameter when working with circles!