A Weird Cut Of Concentric Circles

Geometry Level 3

In the figure above, the circles are concentric with centre OO. BB is a point on the larger circle. DD is a point on the smaller circle. BDBD is joined, provided that BDBD touches the circle at only one point. Now OBOB is joined and extended to meet the larger circle at AA. Find the distance between points AA and DD if the radii of the circles are 4134\sqrt{13} and 88 units respectively.

Clarification: Concentric circles are circles with a common centre.

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