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Circles PuzzleTake a circle and inscribe 4 interior-disjoint congruent circles A, B, C, D
that are cyclically tangent (A is tangent to B is tangent to C is tangent to D
is tangent to A), and so that each is tangent to the large circle. A, B,
C, and D are colored white in the diagram, below. Then, in each of these four,
inscribe four congruent tangent circles in exactly the same way, to get 16 small
circles, colored red in the diagram, below. Finally, inscribe a small circle
C17, colored yellow in the diagram, in the space around the center of the large
circle and tangent to each of A, B, C, D. Which is larger, the yellow C17 or one
of the sixteen red circles inside A, B, C, D?
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