Difference between revisions of "University of South Carolina High School Math Contest/1993 Exam/Problem 3"
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Revision as of 22:33, 21 July 2006
Problem
If 3 circles of radius 1 are mutually tangent as shown, what is the area of the gap they enclose?
Solution
Construct an equilateral triangle whose sidelengths (length ) are composed of the radii fo the circles. The area is thus .