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MathNet 2003 — Part 01 Question 195

Math Olympiad Vault · MathNet 2003 — Part 01

Question 195

What is the radius of the small circle in the figure opposite, if the side of the square is $1$ long?
  1. $3-2 \sqrt{2}$
  2. $\frac{1}{4}$
  3. $\frac{\sqrt{2}}{4}$
  4. $\frac{\sqrt{2}-1}{2}$
  5. $4-3 \sqrt{2}$.

    Question illustration