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%
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Let r1 = 100br /Then r2 = 50br /br /A1 = π × 1002 = 10000πbr /A2 = π × 502 = 2500πbr /br /Decrease in area = 10000π - 2500π = 7500πbr /br /Percentage decrease in area = 7500π×10010000π=75%