wu :: forums
« wu :: forums - A Slice of Pie »

Welcome, Guest. Please Login or Register.
May 19th, 2024, 5:38am

RIDDLES SITE WRITE MATH! Home Home Help Help Search Search Members Members Login Login Register Register
   wu :: forums
   riddles
   medium
(Moderators: william wu, ThudnBlunder, towr, Eigenray, SMQ, Grimbal, Icarus)
   A Slice of Pie
« Previous topic | Next topic »
Pages: 1  Reply Reply Notify of replies Notify of replies Send Topic Send Topic Print Print
   Author  Topic: A Slice of Pie  (Read 495 times)
ThudnBlunder
wu::riddles Moderator
Uberpuzzler
*****




The dewdrop slides into the shining Sea

   


Gender: male
Posts: 4489
A Slice of Pie   PieSlice.JPG
« on: Jan 20th, 2009, 7:51pm »
Quote Quote Modify Modify

What is the radius of the smallest circular plate on which a pie with unit radius will just fit, as below?
IP Logged


THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you.
towr
wu::riddles Moderator
Uberpuzzler
*****



Some people are average, some are just mean.

   


Gender: male
Posts: 13730
Re: A Slice of Pie  
« Reply #1 on: Jan 21st, 2009, 1:39am »
Quote Quote Modify Modify

1/(2 cos(1/2 t)
IP Logged

Wikipedia, Google, Mathworld, Integer sequence DB
balakrishnan
Junior Member
**





   


Gender: male
Posts: 92
Re: A Slice of Pie  
« Reply #2 on: Jan 21st, 2009, 2:21am »
Quote Quote Modify Modify

That is for t<=/2
IP Logged
towr
wu::riddles Moderator
Uberpuzzler
*****



Some people are average, some are just mean.

   


Gender: male
Posts: 13730
Re: A Slice of Pie  
« Reply #3 on: Jan 21st, 2009, 2:35am »
Quote Quote Modify Modify

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

Wikipedia, Google, Mathworld, Integer sequence DB
Grimbal
wu::riddles Moderator
Uberpuzzler
*****






   


Gender: male
Posts: 7527
Re: A Slice of Pie  
« Reply #4 on: Jan 21st, 2009, 6:56am »
Quote Quote Modify Modify

If you just add the case for t=0, you will have a complete solution.  Grin
IP Logged
Pages: 1  Reply Reply Notify of replies Notify of replies Send Topic Send Topic Print Print

« Previous topic | Next topic »

Powered by YaBB 1 Gold - SP 1.4!
Forum software copyright © 2000-2004 Yet another Bulletin Board