# Do you like inscribing?

Geometry Level pending

Diameter $$AB$$ of a circle with center $$O$$ has length 2. From the midpoint $$Q$$ of $$OA$$, a perpendicular is drawn intersecting the circle at $$P$$. Find the radius of the circle which can be inscribed in triangle $$APB.$$

Round your answer to 3 decimal places.

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