Problem:
Circles of diameter inch and inches have the same center. The smaller circle is painted red, and the portion outside the smaller circle and inside the larger circle is painted blue. What is the ratio of the blue-painted area to the red-painted area?
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Answer Choices:
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Solution:
The circle with diameter has area . The circle with diameter 1 has area . Therefore the ratio of the blue-painted area to the red-painted area is
The problems on this page are the property of the MAA's American Mathematics Competitions