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   Author  Topic: Central area  (Read 1540 times)
pex
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Central area  
« on: Nov 21st, 2012, 1:06am »		 Quote Quote Modify Modify
Which proportion of the area of a regular n-gon is closer to its center than to any edge?
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towr
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Re: Central area  
« Reply #1 on: Nov 22nd, 2012, 10:59pm »		 Quote Quote Modify Modify
I get 1/3 - 1/12 sec4(pi/{2n})
And the limit for n -> infinity seems to give the right value, at least.
« Last Edit: Nov 22nd, 2012, 11:28pm by towr » IP Logged
Wikipedia, Google, Mathworld, Integer sequence DB
pex
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Re: Central area  
« Reply #2 on: Nov 23rd, 2012, 2:31am »		 Quote Quote Modify Modify
Yep, that's what I got Smiley
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