# A calculus problem by Archit Tripathi

Calculus Level 5

A polygon of $$n$$ sides is inscribed in the ellipse $$\dfrac{x^{2}}{a^{2}} + \dfrac{y^{2}}{b^{2}} = 1$$. If the maximum possible area of the polygon is $$2\sqrt{2}$$ $$ab$$ square units, what is the value of $$n$$?

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