https://file.aiquickdraw.com/mathbot/file/1729005846277xr2k21ub.jpg

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!

Calculate the area of a circle with a diameter of 16 inches.

Learn how to calculate the area of a circle with a diameter of 16 inches using the formula A = πr². This problem explores key geometry concepts and provides a step-by-step solution. Suitable for students in Grades 6-8.

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