数学题:如右图,O是圆心,图中三角形的面积是5平方厘米,求圆的面积
- 时间:2020-05-12 13:42:36
- 分类:数学世界
- 阅读:116 次
数学题:如右图,O是圆心,图中三角形的面积是5平方厘米,求圆的面积。

数学题解答:加两条辅助线,如下图。

小正方形由两个同样的小三角形拼成,所以小正方形的面积是三角形面积的2倍。
5×2=10(平方厘米)
小正方形的面积(即边长乘边长),就是圆的半径的平方(因为正方形的边长等于圆的半径)。
所以,圆的面积是:3.14×10=31.4(平方厘米)[ps:这里的10就是半径的平方。]
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