Difference between revisions of "2018 AMC 10B Problems/Problem 12"
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Revision as of 15:14, 16 February 2018
Line segment is a diameter of a circle with
. Point
, not equal to
or
, lies on the circle. As point
moves around the circle, the centroid (center of mass) of
traces out a closed curve missing two points. To the nearest positive integer, what is the area of the region bounded by this curve?