Difference between revisions of "University of South Carolina High School Math Contest/1993 Exam/Problem 3"
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− | Construct an equilateral triangle whose sidelengths (length <math>2</math>) are composed of the radii | + | Construct an equilateral triangle whose sidelengths (length <math>2</math>) are composed of the radii of the circles. The area is thus <math>\sqrt{3}-\pi/2</math>. |
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Revision as of 13:05, 12 October 2007
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 of 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.