The departments of Mathematics, Applied Mathematics, and Statistics at the University of Washington present the

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10/27/2009
10/20/2009
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07/14/2009
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05/26/2009
05/19/2009
05/12/2009
05/05/2009
04/28/2009
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03/31/2009
03/17/2009
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02/24/2009
02/17/2009
02/10/2009
02/03/2009
01/27/2009
01/20/2009
01/13/2009
01/06/2009
12/02/2008
11/25/2008
11/18/2008
11/11/2008
11/04/2008
10/28/2008
10/21/2008
10/14/2008
10/07/2008
09/30/2008
09/23/2008
09/09/2008
08/26/2008
08/19/2008
08/12/2008
08/05/2008
07/29/2008
07/22/2008
07/15/2008
07/08/2008
07/01/2008
06/24/2008
06/10/2008
06/03/2008
05/27/2008
05/20/2008
05/13/2008
05/06/2008
04/29/2008
04/22/2008
04/15/2008
04/08/2008
04/01/2008
03/18/2008
03/11/2008
03/04/2008
02/26/2008
02/19/2008
02/12/2008
02/05/2008
01/29/2008
01/22/2008
01/15/2008
01/08/2008
12/04/2007
11/27/2007
11/20/2007
11/13/2007
11/06/2007
10/30/2007
10/16/2007

October 29–November 5, 2010

Problem

Consider a circle and a simple curve connecting two points on the circle (the curve lies completely inside the circle). The curve divides the circle in two parts having equal areas. Prove that such curve is at least as long as the diameter of the circle.

Solution

here

List of solvers

Milda Zizyte (undergraduate), Naveen Naidu, Joshua Lim, Danushen Gnanapragasam.

Joshua Lim wins the prize!