Round the earth riddle

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The circumference of the Earth is approximately 40,000 kilometers, and someone has just made a metal band that circles the Earth, touching the ground at all locations.

You come along at night, as a practical joke, and add just 10 meters to its length (one hundredth of one kilometer !)

It is now one four-millionth longer, and sits magically just above the ground at all locations

How far has it risen … could a flea, a rabbit or even a man squeeze underneath it?

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SherlockHolmes Expert Asked on 12th December 2018 in Math Puzzles.
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  • 1 Answer(s)

    The circumference of a circle with radius R is 2*pi*R

    We have two radius’s R1 and R2 with circumferences 2*pi*R1 and 2*pi*R2 and the difference is 2*pi*(R2-R1) = 10 m. So the elevation (R2-R1) = 10/(2*pi) = 1,59 m

     

    CugelTheWise Expert Answered on 12th December 2018.
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