解:160×40+40×(160-60×2)-(10×10-
![](http://thumb.1010pic.com/pic5/latex/96.png)
×3.14×10
2)×6,
=6400+40×40-(100-
![](http://thumb.1010pic.com/pic5/latex/96.png)
×3.14×100)×6,
=6400+1600-(100-3.14×25)×6,
=8000-(100-78.5)×6,
=8000-21.5×6,
=8000-129,
=7871(平方厘米);
答:圆扫过的面积是7871平方厘米.
![](http://thumb.1010pic.com/pic5/upload/201305/51d621c5ee39c.png)
分析:解如图所示,圆扫过的面积等于“凸”字型的面积减去6个角的面积,依据题目所给数据即可求解.
点评:解答此题的关键是弄清楚圆没扫过的面积,即可据题意求解.