Copyright ©1997 by Paul Niquette. All rights reserved.
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he
diagram shows that the length of the original band
can be calculated by multiplying the diameter of the earth (assumed to
be approximately 8,000 miles) by
= 3.14159265359.
(8,000 miles)
+ 10 feet = (8,000 miles + x)
x = 10 feet / = 3.183 feet ...half of which (1.59 feet = 1 foot 7 inches) represents
the gap between the lengthened band and the surface of the earth.
oo-ha! That's the sound of a sophisticated puzzle solver making a discovery. In this case, he or she will observe that the diameter of the earth -- that the gap would be the same (1 foot 7 inches) whether the band were wrapped around the moon or a basketball or a marble. The solution, in fact, is merely the radius of a circle
that has a 10-foot circumference.
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