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Home » Plug \( n = 10 \) into the formula: - Get link 4share

Plug \( n = 10 \) into the formula: - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 y = (-1 + \sqrt{7}) + 2 = 1 + \sqrt{7}, \quad y = (-1 - \sqrt{7}) + 2 = 1 - \sqrt{7}

📌 The points of intersection are \(A = (-1 + \sqrt{7}, 1 + \sqrt{7})\) and \(B = (-1 - \sqrt{7}, 1 - \sqrt{7})\).

📌 The area is the area of the circular segment. The central angle \( heta\) subtended by the chord can be found using the dot product of vectors from the origin to the points.

📌 Let \(ec{OA} = \langle -1 + \sqrt{7}, 1 + \sqrt{7}

📌 angle\), \(ec{OB} = \langle -1 - \sqrt{7}, 1 - \sqrt{7}

📌 Dot product:

📌 ec{OA} \cdot ec{OB} = (-1 + \sqrt{7})(-1 - \sqrt{7}) + (1 + \sqrt{7})(1 - \sqrt{7})

📌 = [(-1)^2 - (\sqrt{7})^2] + [1 - (\sqrt{7})^2] = (1 - 7) + (1 - 7) = -6 -6 = -12

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