A point is thrown at random on the segment of the ordinate axis between points \((0,0)\) and \((0, R)\) [that is, the ordinate of the point is uniformly distributed in the interval \((0, R)\) ]. Through the point of impact draw a chord of the circle \(x^{2}+y^{2}=R^{2}\) perpendicular to the \(y\)-axis. Find the distribution of length of the chord.