Problem 490. Tangent Circles, Arc, Radius, Circular Sector, Area.
Level: High School, College, SAT Prep. The figure shows the circles of centers A, B, and C tangent at D, E, F. The measure of the arc DE is 130 degrees and the arc DF is 150 degrees. If the radius of circle C is 3, find the area of the circular sector ECF.

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