2004 AIME II Problems/Problem 1
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Problem
A chord of a circle is perpendicular to a radius at the midpoint of the radius. The ratio of the area of the larger of the two regions into which the chord divides the circle to the smaller can be expressed in the form 
where 
and 
are positive integers, 
and 
are relatively prime, and neither 
nor is divisible by the square of any prime. Find the remainder when the product 
is divided by 1000.
Solution
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