1. Find the length of the chord \(AC\) where \(AB\) and \(CD\) are the two diameters perpendicular to each other of a circle with radius \(4\sqrt{2}\) \(cm\) and also find \(\angle OAC\) and \(\angle OCA\).
Length of the chord \(=\) \(cm\)
2. A chord is \(12\) \(cm\) away from the centre of the circle of radius \(15\) \(cm\). Find the length of the chord.
Length of the chord \(=\) \(cm\)