of the
Week
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Problem
of the Week |
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A disk is filled with a number of smaller
disks arranged in the form a hexagon. As the inner disks get smaller
and smaller, what percent of the area of the large disk is filled by the
sum of the area of the smaller disks?
More precisely, let An denote a stack of disks arranged in the shape of a hexagon having n disks on a side; the figure on the left shows the configuration A3 in red. If the large disk has radius r, then you are looking to find  |
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