Weekly Problem 6 - 2013

Stage: 3 Challenge Level: Challenge Level:1
In one hour, the snail can reach points within $1$m of the corner at which it starts. So it can reach some of the points on the three faces which meet at that corner, but none of the points on the other three faces.

On each of the reachable faces, the oints which the snail can reach form a quarter of a circle of radius $1$m. So the required fraction is $\frac{\pi}{8}$.

This problem is taken from the UKMT Mathematical Challenges.

View the previous week's solution
View the current weekly problem
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
Copyright © 1997 - 2012. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project.