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If the radius of a circle is decreased by 50% , find the percentage decrease in its area.

Correct Answer: 75%

Explanation:

let original radius = r and  new radius = (50/100) r = r/2


 



original area =  πr 2  and new area =  π r / 2 2


 



decrease in area =  3 πr 2 / 4 * 1 πr 2  *100 = 75%


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