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To calculate the area of the shaded region, we can break the problem into two steps:

1. **Calculate the area of the larger circle** (yellow circle with radius 20.4 m).
2. **Calculate the area of the smaller circle** (white circle with radius 8.9 m).
3. **Subtract the area of the smaller circle from the area of the larger circle** to find the area of the shaded region.

The formula for the area of a circle is:

\[
A = \pi r^2
\]

Using \( \pi = 3.14 \):

- **Area of the larger circle**:
  \[
  A_{\text{large}} = 3.14 \times (20.4)^2
  \]
  
- **Area of the smaller circle**:
  \[
  A_{\text{small}} = 3.14 \times (8.9)^2
  \]

Now, subtract the area of the smaller circle from the area of the larger circle to get the shaded region:

\[
A_{\text{shaded}} = A_{\text{large}} - A_{\text{small}}
\]

Let me calculate that for you.The area of the shaded region is approximately **1058.02 square meters**, rounded to the nearest hundredth.

Would you like more details or have any other questions?

Here are 5 related questions you might find interesting:

1. How would the area of the shaded region change if the radius of the larger circle increased by 5 meters?
2. How do the areas of the circles change if we use a more accurate value for \( \pi \) (e.g., \( \pi \approx 3.1416 \))?
3. What is the percentage of the larger circle's area that is shaded?
4. Can you find the circumference of both circles and compare them?
5. What would the area of the shaded region be if the radius of the smaller circle were halved?

**Tip:** When dealing with areas of circles, always remember to square the radius first before multiplying by \( \pi \).

Both circles have the same center. What is the area of the shaded region? The larger circle has a radius of 20.4 m and the smaller circle has a radius of 8.9 m. Use 3.14 for π. Write your answer as a whole number or a decimal rounded to the nearest hundredth.

Learn how to calculate the area of the shaded region between two concentric circles. The larger circle has a radius of 20.4 m, and the smaller circle has a radius of 8.9 m. Use 3.14 for π and find the area of the shaded region to the nearest hundredth. This problem covers key geometry concepts suitable for Grades 6-8.

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