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MathNet 2021 — Part 09 Question 94

Math Olympiad Vault · MathNet 2021 — Part 09

Question 94

Triangle $ABC$ is equilateral with side length $6$. Suppose that $O$ is the center of the inscribed circle of this triangle. What is the area of the circle passing through $A$, $O$, and $C$?
  1. $9\pi$
  2. $12\pi$
  3. $18\pi$
  4. $24\pi$
  5. $27\pi$