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**Type : **MCQ

In the figure below is a circle with centre O, and another circle with centre at the midpoint B of the radius OA and passing through O. A small circle is drawn as shown, tangent to both the larger circles, such that its centre N is directly above B (that is, BN ⊥ AB). If the perimeter of the triangle NBA is 8 cm, find the value (in cm) of the radius of the small circle.