Puzzle time - eclipse with an elipse?
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Suppose you have two congruent ellipses that, together, cover a unit circle. These ellipses can have any eccentricity you like, but they must be congruent to each other.
What is the smallest possible area one of these ellipses can have, such that they completely cover the circle?
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More importantly, what would Margorie Taylor Greene have to say about this situation?