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在牧场的中央建有一个边长为6米的正方形牛棚(如图),在牛棚一角(C点)的柱子上拴有一头牛。这头牛最远可吃到A点的草。问此牛吃草的面积最大是多少平方米?
In the center of the ranch, there is a square cow shed (pictured) with a side length of 6 meters. A cow is tied to a pillar at the corner of the bullpen (Point C). This cow farthest can eat grass at point A. Ask how many square meters the largest area of grazing cattle?