Place four pebbles on the sand in the form of a square. Keep adding
as few pebbles as necessary to double the area. How many extra
pebbles are added each time?
Investigate how this pattern of squares continues. You could
measure lengths, areas and angles.
Can you work out the area of the inner square and give an
explanation of how you did it?
Different interpretations as to how to
decide on `better fit' all suggest that it is the round peg. Some
contributors compared the `area left over' but, since the holes are
not the same shape, this does not compare like with