(a) Suppose you have 56 square tiles, each containing a quarter circle that goes from the midpoint of one side to the midpoint of an adjacent side. If we randomly arrange the 56 tiles into a 8 by 7 rectangle, what is the average number of full circles formed?

(b) Suppose you have 64 equilateral triangular tiles, each containing an arc of a circle that goes from the midpoint of one side to the midpoint of an adjacent side. If we randomly arrange the 64 tiles into a larger equilateral triangle, what is the average number of full circles formed?

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a 4 tiles are arranged to form a circle ie 2 on the row and 2 o... View the full answer