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        riddles >> medium >> Central area
        
(Message started by: pex on Nov 21st, 2012, 1:06am)
Title: Central area
Post by pex on Nov 21st, 2012, 1:06am
Which proportion of the area of a regular n-gon is closer to its center than to any edge?
Title: Re: Central area
Post by towr on Nov 22nd, 2012, 10:59pm
I get [hide]1/3 - 1/12 sec4(pi/{2n})[/hide]
And the limit for n -> infinity seems to give the right value, at least.
Title: Re: Central area
Post by pex on Nov 23rd, 2012, 2:31am
Yep, that's what I got :)


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