如果一个圆的直径扩大5倍,那么半径扩大 一个圆柱体的底面半径扩大4倍,高扩大5倍,它的底面直径扩大_...
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设圆的半径为r,则直径=2r,周长=2πr,面积=πr2,π是一个定值,则:(1)圆的直径与半径成正比例、周长与圆的半径成正比例,即圆的半径扩大5倍时,直径就扩大5倍,周长也是扩大5倍;
(2)圆的面积与r2成正比例,即半径r扩大5倍,则r2就扩大5×5=25倍,所以圆的面积就扩大25倍.
故答案为:5倍;5;25倍.
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