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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
65
管理
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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