Difference between revisions of "2005 AIME I Problems/Problem 1"
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== Problem == | == Problem == | ||
| − | + | Six circles form a ring with with each circle externally tangent to two circles adjacent to it. All circles are internally tangent to a circle <math> C </math> with radius 30. Let <math> K </math> be the area of the region inside circle <math> C </math> and outside of the six circles in the ring. Find <math> \lfloor K \rfloor. </math> | |
== Solution == | == Solution == | ||
Revision as of 23:15, 8 July 2006
Problem
Six circles form a ring with with each circle externally tangent to two circles adjacent to it. All circles are internally tangent to a circle 
with radius 30. Let 
be the area of the region inside circle and outside of the six circles in the ring. Find 
