Six congruent circles form a ring with each circle externally tangent to two circles adjacent to it. All circles are internally tangent to a circle $$C$$ with radius 30. Let $$K$$ be the area of the region inside circle $$C$$ and outside of the six circles in the ring. Find $$\lfloor K \rfloor.$$

(第二十三届AIME1 2005 第1题)