A Spiral for This Year

Calculus Level 4

Chong begins at his house and runs 2015 miles north, 2014 miles east, 2013 miles south, 2012 miles west, 2011 miles north... 2 miles east, and 1 mile south. What is the straight line distance from where he began to where he ended in miles?

If the answer can be represented by the form \(a\sqrt{b}\), where \(a\) and \(b\) are positive integers and \(b\) is squarefree, find \(ab\).


Problem credit to my best friend William Asai

×

Problem Loading...

Note Loading...

Set Loading...