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To find the area of the shaded region, we need to calculate the area of the circle and subtract the area of the square inside it.

1. **Calculate the area of the circle:**
   - The radius of the circle is 3.0 cm.
   - Area of the circle \( A_{\text{circle}} = \pi r^2 \)
   \[
   A_{\text{circle}} = \pi \times (3.0)^2 = 9\pi \approx 28.27 \text{cm}^2
   \]

2. **Calculate the area of the square:**
   - The side length of the square is 6.0 cm.
   - Area of the square \( A_{\text{square}} = s^2 \)
   \[
   A_{\text{square}} = 6.0^2 = 36.0 \text{cm}^2
   \]

3. **Find the area of the shaded region:**
   - The shaded area is given by the area of the circle minus the area of the square.
   \[
   A_{\text{shaded}} = 28.27 \text{cm}^2 - 36.0 \text{cm}^2 


What is the area of the shaded region? Round your answer to the nearest hundredth.

This problem asks to calculate the area of a shaded region where a square is inscribed within a circle. It covers key geometric concepts, including the formulas for the area of a circle and a square, and is suitable for students in Grades 7-9.

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