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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?

Question:

A
0.63

Explaination

When 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: $7709_w76_h16.png$, so $1191_w89_h45.png$. Solve for the radius of the reduced circle: $2846_w75_h17.png$, so $6276_w89_h45.png$. When evaluating the ratio of the reduced radius to the original radius, the π in both denominators will cancel to leave $7936_w103_h45.png$.

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