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Home » Premier segment : \( \frac30075 = 4 \) heures. - Aurero

Premier segment : \( \frac30075 = 4 \) heures. - Aurero

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 A_{\text{circle}} = \pi x^2

📌 Area of the Octagon:

📌 For a regular octagon with side length \( s = x \), the area \( A \) is given by:

📌 A_{\text{octagon}} = 2(1 + \sqrt{2})s^2 = 2(1 + \sqrt{2})x^2

📌 A_{\text{octagon}} = 2(1 + \sqrt{2})x^2

📌 The ratio of the area of the circle to the area of the octagon is:

📌 \text{Ratio} = \frac{A_{\text{circle}}}{A_{\text{octagon}}} = \frac{\pi x^2}{2(1 + \sqrt{2})x^2} = \frac{\pi}{2(1 + \sqrt{2})}

📌 Thus, the ratio of the area of the circle to the area of the octagon is \(\boxed{\frac{\pi}{2(1 + \sqrt{2})}}\).

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