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Home » Un cercle a une circonférence de 31,4 mètres. Quelle est l'aire du cercle ? - Nelissen Grade advocaten

Un cercle a une circonférence de 31,4 mètres. Quelle est l'aire du cercle ? - Nelissen Grade advocaten

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 The area is \(x(x + 50) = 6000\).

📌 Solving \(x^2 + 50x - 6000 = 0\) using the quadratic formula: \(x = \frac{-50 \pm \sqrt{50^2 + 4 \times 6000}}{2}\).

📌 \(x = \frac{-50 \pm \sqrt{2500 + 24000}}{2} = \frac{-50 \pm \sqrt{26500}}{2}\).

📌 \(x = \frac{-50 \pm 162.63}{2}\). Taking the positive root: \(x = 56.315\) meters.

📌 Length is \(56.315 + 50 = 106.315\) meters.

📌 #### Width: 56.315 m, Length: 106.315 m

📌 A sum of money is invested at 5% annual interest, compounded annually. If the investment grows to $10,500 in 3 years, what was the initial amount?

📌 Let the initial amount be \(P\). The formula is \(P(1 + r)^n = 10500\).

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