Walking Around the WorldDate: 08/18/99 at 11:22:03 From: Billy Subject: Geometry A man walks around the world. How much farther does his head go than his feet? It has to be the same, right? If you walk to the moon your head will travel the same distance. Is this a trick question? Date: 08/18/99 at 11:58:52 From: Doctor Peterson Subject: Re: Geometry Hi, Billy. No, it's not a trick question, but you have to think carefully. If you walk in a straight line, your head goes as far as your feet, but not if you walk in a circle. Here's a man walking around the world: .....O..... ..... /|\ ..... ... | .... ... / \ .. .. *********** .. . **** | **** . . ** | ** . . ** | ** . . * | * . . * | * . . * | * . . * +---------------*------. . * r * h . . * * . . * * . . ** ** . . ** ** . . **** **** . .. *********** .. ... .. ... .... ..... ..... ........... His feet walk around the circumference of a circle with radius r. His head goes around a circle with radius r+h. See if you can figure out how much farther that is! - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/ |
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