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lambertville station restaurant and inn lambertville nj 08530 - AssociationVoting

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 A = \frac{1}{2} \times \text{base} \times \text{height}

📌 Initially, the base is 10 cm and the height is 8 cm, so the initial area \(A_1\) is:

📌 A_1 = \frac{1}{2} \times 10 \times 8 = 40 \text{ cm}^2

📌 When the base is reduced by 2 cm, the new base becomes \(10 - 2 = 8\) cm. The new area \(A_2\) is:

📌 A_2 = \frac{1}{2} \times 8 \times 8 = 32 \text{ cm}^2

📌 \Delta A = A_1 - A_2 = 40 - 32 = 8 \text{ cm}^2

📌 Thus, the area decreases by \(\boxed{8}\) square centimeters.

📌 Question:** A circle is inscribed in a square with side length 10 cm. What is the area of the shaded region outside the circle but inside the square, expressed in terms of \(\pi\)?

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