Geometry Problem 1090: Unlocking the Secrets of Circle Geometry: Solving for Chord Length in a Perpendicular Diameter Configuration.- Metric Relations, Mathematics

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The figure depicts a circle with center O and a radius of 2 units, where the diameters AB and CD are perpendicular to each other. Let E be the midpoint of OC, and let AE intersect the circle at point F. Determine the length of chord FD.