GRE exam question

If the radius of a circle is decreased by 50%, find the percentage decrease in its area. A) 55% B) 65% C) 75% D) 85%

  • Sweety
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Your Answer

let's suppose area of circle is 3.142×r^2 then after radius is reduced by 50% then area of new circle will be 3.142*0.5r*0.5r=3.142*o.25*r^2 Percentage decrease= ((3.142*r^2-3.142*0.25*r^2)/3.14*r^2 )*100% =((1-0.25)/1)*100% =0.75*100% 75%

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