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Home » Case 1: All three numbers are even. - Esdistancia

Case 1: All three numbers are even. - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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📌 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 \(\pi\)?

📌 The side length of the square is 10 cm, so its area is:

📌 A_{\text{square}} = 10^2 = 100 \text{ cm}^2

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