某钟表的时针长6厘米,分针长9厘米.从2时到3时,时针针尖走过多少厘米?分针针尖走过多少厘米?时针和分针分别扫过的面积是多少平方厘米?
人气:277 ℃ 时间:2019-10-24 11:02:33
解答
2时到3时是圆的1/12,
时针走一圈的路程为6*2*3.14=37.68cm
时针走一圈扫过的面积6*6*3.14=113.04cm2
分针走一圈的路程为9*2*3.14=56.52cm
分针走一圈扫过的面积9*9*3.14=254.34cm2
故从2时到3时,时针针尖走过37.68*1/12=3.14厘米
分针针尖走过56.52*1/12=4.71厘米
时针扫过的面积是113.04*1/12=9.42平方厘米
分针扫过的面积是254.34*1/12=21.195平方厘米
答:从2时到3时,时针针尖走过3.14厘米?分针针尖走过4.71厘米?时针和分针分别扫过的面积是9.42平方厘米、21.195平方厘米?
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