Problem: A nickel is placed on a table. The number of nickels which can be placed around it, each tangent to it and to two others is:
Answer Choices:
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E.
Solution:
Around a given circle can be placed exactly six circles each equal to the given circle, tangent to it, and tangent to two others. The arc between two successive points of contact of the given circle and the outside circles is one-sixth of the circumference.