University of South Carolina High School Math Contest/1993 Exam/Problem 3
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 . This problem needs a solution. If you have a solution for it, please help us out by adding it.