From a circle with radius (R=9) and center ((0,0)) a point is randomly selected. (1) Determine the

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From a circle with radius \(R=9\) and center \((0,0)\) a point is randomly selected.

(1) Determine the mean value of the distance of this point to the nearest point at the periphery of the circle.

(2) Determine the mean value of the geometric mean of the random variables \(X\) and \(Y\), i.e. \(E(\sqrt{X Y})\).

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