SOLUTION: The area of a circle is 32π cm^2. What is the area of a circle with a radius 3 times the length of the radius of the original circle?

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Question 1109980: The area of a circle is 32π cm^2. What is the area of a circle with a radius 3 times the length of the radius of the original circle?
Answer by greenestamps(13200) About Me  (Show Source):
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In any similar figures, if the ratio of linear measurements (scale factor) is a:b, then the ratio of area measurements is a^2:b^2.

Since all circle as similar, if the second circle has a radius 3 times the radius of the first circle, then the area of the second circle is 3^2=9 times the area of the first.

9*32pi = 288pi