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MathNet 2026 — Part 02 Question 70

Math Olympiad Vault · MathNet 2026 — Part 02

Question 70

Surrounding the terrestrial globe - The radius of the globe is approximately $6670~\mathrm{km}$. Suppose a wire is set exactly on the equator, which is a circle of radius approximately equal to $6670~\mathrm{km}$. Question illustration Next, suppose the length of the wire is increased by $1~\mathrm{m}$ so that the wire and equator are concentric circles around the earth. Are a man standing, an ant or an elephant able to pass under that thread? Question illustration