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   A Slice of Pie
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   Author  Topic: A Slice of Pie  (Read 501 times)
ThudnBlunder
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A Slice of Pie   PieSlice.JPG
« on: Jan 20th, 2009, 7:51pm »
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What is the radius of the smallest circular plate on which a pie with unit radius will just fit, as below?
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towr
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Re: A Slice of Pie  
« Reply #1 on: Jan 21st, 2009, 1:39am »
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1/(2 cos(1/2 t)
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balakrishnan
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Re: A Slice of Pie  
« Reply #2 on: Jan 21st, 2009, 2:21am »
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That is for t<=/2
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towr
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Re: A Slice of Pie  
« Reply #3 on: Jan 21st, 2009, 2:35am »
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True.
Is it really still a slice of pie if it's bigger than that, though?  Grin
 
/2 <= t <= : r=sin(1/2 t)
<= t: r=1
« Last Edit: Jan 21st, 2009, 2:40am by towr » IP Logged

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Grimbal
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Re: A Slice of Pie  
« Reply #4 on: Jan 21st, 2009, 6:56am »
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If you just add the case for t=0, you will have a complete solution.  Grin
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