Ononot — An ellipse \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 has a const

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Circles & Conicshard

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An ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ has a constant area $A$ . What is the minimum perimeter of this ellipse?