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Old 04-30-2013, 09:27 AM
Elroch Elroch is offline
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Join Date: Mar 2013
Posts: 143
Default Re: *ANSWER* Stuck on #4

One absurdly simple way to get a handle on the plausibility of the result all of us doubted is to see what the range of possible slopes is, and guess it might be near the middle.

Observe that if two points are very near the origin, the slope can be \pi but no higher. If they are at the furthest extremes, the slope can be zero, but no lower. The mean of this range of possible slopes is 1.57.
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