Rope lifted off the Earth

A rope is wrapped tightly around the Earth's equator. You want to lift it uniformly so it hovers exactly 1 meter above the surface all the way around. How much extra length (in meters) must you splice into the rope? Give the answer to four decimals.

Show hints (2)+
  1. How are a change in circumference and a change in radius related?
  2. The Earth's radius cancels - the answer is just 2π×12\pi \times 1.

Answer

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6.2832 (± 0.001)

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Asked at: Timed Mental-Math & Sequences, Game-Based Aptitude

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