MathDB
Splitting Circle Areas

Source:

December 1, 2005
geometryanalytic geometrygraphing linesslopeAMCAIMEgeometric transformation

Problem Statement

Three circles, each of radius 3, are drawn with centers at (14,92)(14,92), (17,76)(17,76), and (19,84)(19,84). A line passing through (17,76)(17,76) is such that the total area of the parts of the three circles to one side of the line is equal to the total area of the parts of the three circles to the other side of it. What is the absolute value of the slope of this line?
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