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Posted 2007-12-03, 04:08 PM
in reply to Demosthenes's post starting "Here's a better picture:
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Ah, that makes more sense.
The question confused me somewhat:
Quote:
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If we were to have the smaller circle go around the bigger one (as though the bigger one were a surface and the smaller one were a tire) and we kept track of a single point on the edge of the smaller tire and drew a dot on every point it touched on the plane, once the smaller tire had made a complete revolution around the bigger one, what would the total enclosed area be that the point on the smaller tire made?
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To me that meant a dot everytime it touched the other circle, and thus the area enclosed by those dots - the area of the bigger circle.
I've got a vague idea of how I might solve it, so I might get it done during my free's tomorrow. Or give it to one of my Uber Maths Genius friends and see what they make of it. 
EDIT: I wonder if I can somehow make it a graph and use integration to find the area of each curve over the circle, and then add in the area of the circle...
Last edited by Lenny; 2007-12-03 at 04:12 PM.
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