SOLUTION: Three circles with radii 6 are tangent to each other. Find the area of the region enclosed between them. Please provide a diagram.

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three lines connecting the centers of the three circles form an equilateral triangle with side 12

the three "slice of pie" shaped sections in the corners of the triangle are each 1/6 of a circle

so the area of the "between" region is just the difference between the area of the triangle and 1/2 of a circle

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