1. **State the problem:** We need to find the area of the shaded quarter circle inside each square. 2. **Formula:** The area of a quarter circle is given by $$\text{Area} = \frac{1}{4} \pi r^2$$ where $r$ is the radius of the circle. 3. **Important rule:** Since the quarter circle fits exactly inside the square, the radius $r$ equals the side length of the square. 4. **Calculate for the first square:** - Side length $= 2.9$ cm - Area $$= \frac{1}{4} \pi (2.9)^2 = \frac{1}{4} \pi \times 8.41 = 2.1025 \pi$$ - Using $\pi \approx 3.1416$, area $$= 2.1025 \times 3.1416 = 6.60 \text{ cm}^2$$ (matches given) 5. **Calculate for the second square:** - Side length $= 9.5$ cm - Area $$= \frac{1}{4} \pi (9.5)^2 = \frac{1}{4} \pi \times 90.25 = 22.5625 \pi$$ - Using $\pi \approx 3.1416$, area $$= 22.5625 \times 3.1416 = 70.85 \text{ cm}^2$$ **Final answers:** - First square shaded area: $6.60$ cm$^2$ - Second square shaded area: $70.85$ cm$^2$