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        riddles >> medium >> A Slice of Pie
        
(Message started by: ThudanBlunder on Jan 20th, 2009, 7:51pm)
Title: A Slice of Pie
Post by ThudanBlunder on Jan 20th, 2009, 7:51pm
What is the radius of the smallest circular plate on which a pie with unit radius will just fit, as below?
Title: Re: A Slice of Pie
Post by towr on Jan 21st, 2009, 1:39am
[hide]1/(2 cos(1/2 t)[/hide]
Title: Re: A Slice of Pie
Post by balakrishnan on Jan 21st, 2009, 2:21am
That is for t<=http://www.ocf.berkeley.edu/~wwu/YaBBImages/symbols/pi.gif/2
Title: Re: A Slice of Pie
Post by towr on Jan 21st, 2009, 2:35am
True.
Is it really still a slice of pie if it's bigger than that, though?  ;D

http://www.ocf.berkeley.edu/~wwu/YaBBImages/symbols/pi.gif/2 <= t <= http://www.ocf.berkeley.edu/~wwu/YaBBImages/symbols/pi.gif: [hide]r=sin(1/2 t)[/hide]
http://www.ocf.berkeley.edu/~wwu/YaBBImages/symbols/pi.gif <= t: [hide]r=1[/hide]
Title: Re: A Slice of Pie
Post by Grimbal on Jan 21st, 2009, 6:56am
If you just add the case for t=0, you will have a complete solution.  ;D


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