用它们圆周的一部分连成一个花瓣图形

  • 时间:2020-05-16 19:48:28
  • 分类:数学世界
  • 阅读:138 次

有八个半径是3厘米的小圆,用它们圆周的一部分连成一个花瓣图形,如图。图中正方形的边的交点为这些圆的圆心,那么所组成的花瓣图形的面积是多少平方厘米?如下图:

圆正方形花瓣

数学题解答:利用割补法,把正方形四个角上的扇形,拿一部分出来,补在正方形里面的缺口上,补好了之后可以发现:正方形补满之后,四个角的外面各有1个90度的扇形,把它们再拼成一个圆,所以:

所求的面积相当于大正方形面积+一个圆形的面积

算式:(3×4)×(3×4)+3.14×3的平方=144+28.26=172.26(平方厘米)

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