Tightening your belt
Suppose a belt tightly stretched about the equator of the earth just fits. How long a piece should be inserted so that the belt could encircle the earth at a distance of 1 m away from the equator at all points?
Labels: logic, SharedPuzzle
posted by Eric at
5:46 PM
3 Comments:
2pi meters
explanation:
you need no knowlege of earth science to complete this problem. assuming that this belt goes in a perfect circle (which it obviously doesnt due to varying topography), the circumference (length of the belt) is pi*diameter, and increasing the diameter by 2m (one on each side) would increase the circumference by 2pi m, or roughly 6.28 meters
3.141592654=pi yes, i memorized it
6.283185308 = 2pi
only 10 digits can fit on the calculators i used to memorize it
42
(its the answer to everything, isn't it?)
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