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The area enclosed by the ellipse x292+y262=1\frac{x^2}{9^2} + \frac{y^2}{6^2} = 1 is:

Solution

✅ Correct Option: 2

The area enclosed by the ellipse x2a2+y2b2=1\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 is πab\pi a b. Here a=9a = 9 and b=6b = 6, so area =π⋅9⋅6=54π= \pi \cdot 9 \cdot 6 = 54\pi.

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