If the radius of a circle is diminished by 10%, then its area is diminished by

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Let x be the initial radius of the circle. Therefore, its area ispix^2 ……..(1) It is given that the radius is diminished by 10%, therefore, its new radius is calculated as shown below, new radius=x-0.10 x $\therefore$ "new radius "=0.90x $\therefore$ "new radius "=(0.90 x)^2 $\therefore$ "new radius "= 0.81 x^2 Now we will find the percentage decreased in the area. $\therefore$ "change" = 0.81 x^2-x^2 $\therefore$ "change" = 0.19 x^2 Therefore, its area is diminished by 19% .

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