Six congruent circles form a ring with each circle externally tangent to two circles adjacent to it. All six circles are internally tangent to a circle C with radius 30. Let K be the area of the region inside C and outside all of the six circles in the ring. Find |K|. (The notation |K| denotes the greatest integer that is less than or equal to K.) I've already worked out the problem and my work yielded 942. Show your work and good luck. I have more problems after this one.