SAT Math IX

Geometry Level 2

In the figure above, ACDFACDF is a rectangle and the circle with center OO has a radius of rr. AC\overline { AC } is tangent to the circle at point BB, DF\overline { DF } is tangent to the circle at point EE, and COE\angle COE measures 120°120°. If CF\overline { CF } (not shown) passes through OO, then what is the length of CF\overline { CF } in terms of rr?

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