A chord of a circle of radius \(8 \ cm\) subtends an angle of \(90^\circ\) at the centre. Determine the area of the corresponding major segment of the circle. (Use \(\pi = 3.14\)).
 
Solution:
 
YCIND_240408_6170_circle_A5.png
 
 
Area of the major sector \(=\) \(cm^2\)
 
Area of \(\Delta OAB\) \(=\) \(cm^2\)
 
Area of major segment \(=\) \(cm^2\)
 
(Note:  If the answer is a whole number, write as it is. If not, round off to \(2\)  decimal places).