A chord of a circle of radius \(11 \ cm\) subtends an angle of \(60^\circ\) at the centre. Find the area of the corresponding minor segment of the circle. Also estimate the area of the major segment of the circle. (use \(\pi=3.14)\)
Area of the minor segment \(=\) \(cm^2\)
Area of the major segment \(=\) \(cm^2\)
(Note: Enter the answers in two decimal places)