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MathNet 2004 — Part 02 Question 33

Math Olympiad Vault · MathNet 2004 — Part 02

Question 33

Calculate the area of the intersection of three circles having as their respective diameters the three sides of an isosceles right triangle with legs of unit length.
  1. $\frac{\pi-2}{8}$
  2. $\pi-3$
  3. $\frac{2 \pi-5}{8}$
  4. $\frac{\pi-1}{16}$
  5. $\frac{2 \pi-3}{16}$.