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'An Unusual Shape' printed from http://nrich.maths.org/
Stuart tethered his goat to one end of a $20$-foot length of rope
and attached the other end of the rope to a hook fixed to the side
of his shed.
When he came back the goat had eaten all the grass within its
Here is a picture showing the region eaten by the goat:
Where did Stuart fix the
What was the area available
to the goat?
Could the goat have eaten
more grass if the rope had been attached to a different point on
Experiment with different
lengths of rope. Where should the hook be positioned each time to
allow the goat to eat the maximum amount of grass?