Clue to Puzzle #41: Rope Around the Earth
This puzzle is somewhat counter intuitive. If you have reasoned the answer and can't believe it, you are probably right. In the answer i give a rigorous mathematical proof for the general case, but you can do it without that.
The only equation you need to know it the relationship between the circumference of a circle and it's radius is given by R = C/2π
Another big clue might be that whilst I can tell you the radius of the earth is 20,902,231 feet you don't need to know it.
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