2004 AIME II Problems/Problem 1
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.