扇形和半圆有重叠部分

  • 时间:2020-05-29 14:21:57
  • 分类:数学世界
  • 阅读:150 次

扇形和半圆有重叠部分,求阴影部分的面积。(扇形的半径是8厘米,同时也是半圆的直径。扇形圆心角是45度。)

扇形和半圆

数学题解答:这题在做的时候需要做辅助线。如下图:
扇形和半圆辅助线

将右侧的红色阴影部分移到左侧的绿色阴影部分,它们形状大小相同。这时整个图形就是扇形,阴影部分面积等于扇形面积减去空白部分(三角形)的面积。列式如下:

3.14×8×8÷(360÷45)-8×(8÷2)÷2=9.12(平方厘米)

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