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  3. A circular flower bed is inscribed in a flat, square garden plot that measures x

A circular flower bed is inscribed in a flat, square garden plot that measures x

游客2024-01-12  20
问题 A circular flower bed is inscribed in a flat, square garden plot that measures x meters on each side.

Column A                                                    Column B
The fraction of the garden plot area that is                The fraction of the garden plot area that is
not part of the flower bed if x = 50 meters                not part of the flower bed if x = 45 meters
选项 A、if the quantity in Column A is greater
B、if the quantity in Column B is greater
C、if the two quantity are equal
D、if the relationship cannot be determined from the information given
答案 C
解析 一个圆形花圃内切(inscribe)于一个边长为x米的平面正方形花园中。
解：本题的正确答案为(C)。左项为x=50时花园中不是花圃的比例，右项是x=45时花园中不是花圃的比例。该比例为：[x2-∏(x/2)2]/x2=1-∏/4,由此可见x2。已消掉，也即半径的大小与该比例无关。
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