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The total area enclosed by the small circles is what fraction of the area enclosed by the larger circle?
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Suppose AB, the diameter of the large circle, is 30. Then the diameter of each small circle (e.g., AC) is 10.
The area of the small circles totals 7 · (5)2 = 175
.
The area of the large circle is (15)2 = 225
.
So we have | 175![]() |
= | 7 | . |
225![]() |
9 |