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MathNet 2023-part-07 — 187 problems (EN–VI) Question 83

Math Olympiad Vault · MathNet 2023-part-07 — 187 problems (EN–VI)

Question 83

Let $\Omega$ be a sphere of radius $4$ and $\Gamma$ be a sphere of radius $2$. Suppose that the center of $\Gamma$ lies on the surface of $\Omega$. The intersection of the surfaces of $\Omega$ and $\Gamma$ is a circle. Compute this circle's circumference.