Wiggly Paths

The Problem:

 In the picture below, each section of a path is semi-circular and of width 2 metres. The total distance travelled, from left to right, is 33 metres.

 What is the total area of the path ? 

 Now find the total area of this second path, composed of quarter-circular sections, but travelling a total distance of 24 metres from left to right.

 

Open the File as a Word Document

 

Send site mail to admin@1000problems.org  or personal comments direct to sdakeyne@psc.ac.uk with questions or comments about this web site.
Last modified: June 18, 2007