How many circles with a diameter of 2cm can you cut from a rectangular piece of paper with a length of 2cm and a width of 15cm? (Must be arithmetic and analytic! Zaixian line

As shown in Figure

, according to the graphic method, the first row in the paper length direction can be arranged with 2÷2=1, the second row with 1-2=8, three rows with four rows and so on, so how many columns can be arranged?

AB=AC=BC=2，DC=√2? -1? =√3, that is, the distance between each column is √3. If X columns can be arranged, there will be

1+(x-1)√3+1≤15. When x=8, the inequality is 14.12, and if it is not greater than 15, eight rows can be arranged < P >, so 1*4+8*4=72 gardens can be cut.

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