Difference between revisions of "1953 AHSME Problems/Problem 27"
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Revision as of 19:47, 30 April 2018
The radius of the first circle is inch, that of the second inch, that of the third inch and so on indefinitely. The sum of the areas of the circles is:
Note the areas of these triangles is , , . The sum of these areas will thus be . We use the formula for an infinite geometric series to get the sum of the areas will be , or .