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String girdling Earth information


Visualisation showing that the length added to the circumference (blue) is dependent only on the additional radius (red) and not the original circumference (grey)

String girdling Earth is a mathematical puzzle with a counterintuitive solution. In a version of this puzzle, string is tightly wrapped around the equator of a perfectly spherical Earth. If the string should be raised 1 metre (3 ft 3 in) off the ground, all the way along the equator, how much longer would the string be?

Alternatively, 1 metre (3 ft 3 in) of string is spliced into the original string, and the extended string rearranged so that it is at a uniform height above the equator. The question that is then posed is whether the gap between string and Earth will allow the passage of a car, a cat or a thin knife blade.

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