
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
February 23rd, 2013, 01:02 PM  #1 
Newbie Joined: Feb 2013 Posts: 1 Thanks: 0  interesting one
Two points were randomly thrown in the square. Let's consider the circle which has these two points as ends of some diameter. What is the probability this circle lies strictly inside the square ? 
February 23rd, 2013, 09:49 PM  #2  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,140 Thanks: 915  Re: interesting one Quote:
Code:   . . .   . . .   . . .   by using something simpler, like a 4by4 checkerboard square with it's 9 points inside? 2 of the 9 points are picked at random, distance between the 2 points being the diameter. Here we know that 5 diameter lengths are possible: 1, 2, sqrt(2), sqrt(5) and sqrt(. Solve that...then graduate...  

Tags 
interesting 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
interesting!!  benten  Algebra  10  May 14th, 2013 08:36 PM 
Interesting Series.  ZardoZ  Real Analysis  15  May 17th, 2012 04:43 PM 
An interesting fraction  soroban  New Users  1  April 24th, 2012 06:17 PM 
Hmm, Interesting.  Eval  New Users  6  April 22nd, 2011 05:54 AM 
u.U interesting problem  asdepicas  Algebra  7  January 28th, 2011 02:59 PM 