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harry potter and the prisoner of azkaban cast - ECD Germany

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 To find the area enclosed by the ellipse given by \(4x^2 + 9y^2 = 36\), we first rewrite it in standard form. Divide the entire equation by 36:

📌 \frac{4x^2}{36} + \frac{9y^2}{36} = 1 \implies \frac{x^2}{9} + \frac{y^2}{4} = 1

📌 This represents an ellipse with semi-major axis \(a = 3\) (since \(\sqrt{9} = 3\)) and semi-minor axis \(b = 2\) (since \(\sqrt{4} = 2\)).

📌 The area \(A\) of an ellipse is given by the formula:

📌 A = \pi a b

📌 Substituting the values of \(a\) and \(b\):

📌 A = \pi \times 3 \times 2 = 6\pi

📌 Thus, the area enclosed by the ellipse is \(\boxed{6\pi}\).

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