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Ellipses

A piece of string 10cm long is tied to two pins 6cm apart. The string is used to draw an ellipse. The pins are then moved 2cm further apart and a second ellipse is drawn. Which ellipse has the larger area?

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If you enjoyed this puzzle, check out Sunday Afternoon Maths VI,
puzzles about ellipses, or a random puzzle.
© Matthew Scroggs 2018