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📅 May 13, 2026 👤 scraface

May 13, 2026

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Thus, the area decreases by \(\boxed{8}\) square centimeters.
Question:** A circle is inscribed in a square with side length 10 cm....
The side length of the square is 10 cm, so its area is:
A_{\text{square}} = 10^2 = 100 \text{ cm}^2
The circle is inscribed, so its diameter equals the side of the square...
r = \frac{10}{2} = 5 \text{ cm}
The area of the circle is:
A_{\text{circle}} = \pi r^2 = \pi \cdot 5^2 = 25\pi \text{ cm}^2
The shaded region is the area of the square minus the area of the circ...
A_{\text{shaded}} = 100 - 25\pi

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