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A circle's area of 280 meters is reduced by 60%. What is the ratio of the reduced radius to the original radius?

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Question:

A
0.63

explanation

1212When the original area is reduced by 60%, only 40% remains. Find the reduced area by multiplying the original area by 40%: 280 \u00D7 0.4 = 112. Solve for the radius of the original circle: , so . Solve for the radius of the reduced circle: , so . When evaluating the ratio of the reduced radius to the original radius, the π in both denominators will cancel to leave .

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