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Home » How to Pick the Perfect J Boy Name Everyone Won’t Stop Saying! - IX Labs

How to Pick the Perfect J Boy Name Everyone Won’t Stop Saying! - IX Labs

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Area of triangle \(OAB\):

📌 A_{ ext{triangle}} = rac{1}{2} ab \sin heta = rac{1}{2} (2\sqrt{6})(2\sqrt{6}) \sin\left(rac{2\pi}{3}

📌 ight) = rac{1}{2} \cdot 24 \cdot rac{\sqrt{3}}{2} = 6\sqrt{3}

📌 Area of segment (the smaller region bounded by the chord and arc) is:

📌 A = A_{ ext{sector}} - A_{ ext{triangle}} = rac{16\pi}{3} - 6\sqrt{3}

📌 But since the line \(y = x + 2\) cuts the circle from top-right to bottom-left, the region enclosed is actually the smaller segment. Hence, the area is:

📌 oxed{rac{16\pi}{3} - 6\sqrt{3}}

📌 Question: Find the remainder when \(x^4 + 3x^3 - 2x^2 + x + 5\) is divided by \(x^2 - x + 1\).

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