求阴影部分的面积(单位:cm) 求下列图中阴影部分的面积。(单位:厘米)

\u6c42\u4e0b\u9762\u56fe\u5f62\u4e2d\u9634\u5f71\u90e8\u5206\u7684\u9762\u79ef\uff0e\uff08\u5355\u4f4d\uff1acm

\uff081\uff095\u00d75-3.14\u00d7\uff085\u00f72\uff092\u00f72=25-9.8125=15.1875\uff08\u5e73\u65b9\u5398\u7c73\uff09\uff0e\u7b54\uff1a\u9634\u5f71\u90e8\u5206\u9762\u79ef\u662f15.1875\u5e73\u65b9\u5398\u7c73\uff0e\uff082\uff093.14\u00d7\uff0852-32\uff09=3.14\u00d716=50.24\uff08\u5e73\u65b9\u5398\u7c73\uff09\uff0e\u7b54\u9634\u5f71\u90e8\u5206\u9762\u79ef\u662f50.24\u5e73\u65b9\u5398\u7c73\uff0e\uff083\uff0910\u00d76-3.14\u00d7\uff086\u00f72\uff092=60-28.26=31.74\uff08\u5e73\u65b9\u5398\u7c73\uff09\uff0e\u7b54\uff1a\u9634\u5f71\u90e8\u5206\u9762\u79ef\u662f31.74\u5e73\u65b9\u5398\u7c73\uff0e\uff084\uff093.14\u00d7\uff0816\u00f72\uff092\u00f72+16\u00d7\uff0816\u00f72\uff09\u00f72=100.48+64=164.48\uff08\u5e73\u65b9\u5398\u7c73\uff09\uff0e\u7b54\uff1a\u9634\u5f71\u90e8\u5206\u7684\u9762\u79ef\u662f164.48\u5e73\u65b9\u5398\u7c73\uff0e\uff085\uff09\uff0810+8\uff09\u00d7\uff088\u00f72\uff09\u00f72-3.14\u00d7\uff088\u00f72\uff092\u00f72=36-25.12=10.88\uff08\u5e73\u65b9\u5398\u7c73\uff09\uff0e\u7b54\uff1a\u9634\u5f71\u90e8\u5206\u7684\u9762\u79ef\u662f10.88\u5e73\u65b9\u5398\u7c73\uff0e\uff086\uff098\u00d78-3.14\u00d7\uff088\u00f72\uff092=64-50.24=13.76\uff08\u5e73\u65b9\u5398\u7c73\uff09\uff0e\u7b54\uff1a\u9634\u5f71\u90e8\u5206\u9762\u79ef\u662f13.76\u5e73\u65b9\u5398\u7c73\uff0e

3.14\u00d7(12/2)²-12²/2=41.04
\u9634\u5f71\u9762\u79ef=41.04\u00f72=20.52\u5e73\u65b9\u5398\u7c73

A半圆=B半圆

所以阴影部份刚好等于1/2个大圆的面积

阴影部份面积=1/2*3.14*2*2

                      =6.28



用割补法,得知
阴影部分等于大圆的面积的一半
阴影部分面积=1/2*3.14*2*2
=6.28

这是太极八卦的图形,是中心对称的,阴影和空白面积一样大。为整个圆面积的一半

求出圆的面积,再除以二就可以了

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