HMMT November 2009 U3
- Guts
- Answer
Consider a square, inside which is inscribed a circle, inside which is inscribed a square, inside which is inscribed a circle, and so on, with the outermost square having side length 1. Find the difference between the sum of the areas of the squares and the sum of the areas of the circles.
Dataset text NuminaMath olympiads. Quoted with source.
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2-\frac{\pi}{2}
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