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1993 AMC 12 #8 - Tangent Circles

Source:

January 2, 2012
geometrygeometric transformationrotationAMC

Problem Statement

Let C1C_1 and C2C_2 be circles of radius 11 that are in the same plane and tangent to each other. How many circles of radius 33 are in this plane and tangent to both C1C_1 and C2C_2?
<spanclass=′latex−bold′>(A)</span> 2<spanclass=′latex−bold′>(B)</span> 4<spanclass=′latex−bold′>(C)</span> 5<spanclass=′latex−bold′>(D)</span> 6<spanclass=′latex−bold′>(E)</span> 8 <span class='latex-bold'>(A)</span>\ 2 \qquad<span class='latex-bold'>(B)</span>\ 4 \qquad<span class='latex-bold'>(C)</span>\ 5 \qquad<span class='latex-bold'>(D)</span>\ 6 \qquad<span class='latex-bold'>(E)</span>\ 8
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