**Problem of the Week**

**Math Club**

**BUGCAT 2020**

**Zassenhaus Conference**

**Hilton Memorial Lecture**

pow:problem1f20

Problem 1 (suggested by Prof. Matt Brin) (due Monday, September 14)

A loop of string has fixed length $L$. It is looped around a disk of radius $r$ and
pulled tight at one point so as to form an “ice cream cone” shape as pictured
here. Consider the region labeled $A$ that is inside the loop of string,
but outside the disk. Note that the area of $A$ is zero if either $r=0$ or if $r=L/2\pi$. What value
of $r$ maximizes the area of the region $A$ and what is this maximum value of the area?

pow/problem1f20.txt · Last modified: 2020/09/15 00:57 by mazur

Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Noncommercial-Share Alike 3.0 Unported