question_answer

A chord of a circle of radius 14 cm makes a right angle at the centre. The areas of the minor and the major segment of the circle are respectively:                                 

A)  \[4050{{m}^{2}}\]        

B)  \[5049{{m}^{2}}\]                          

C)  \[\angle DAB={{90}^{o}}\]                      

D) None of these          

Correct Answer: A

Solution :

Area of \[=\frac{1}{2}\times BD\times (AL+CM)\] Area of segment \[=b\times h\] Area of circular segment \[=\frac{1}{2}\times \] Area of circular segment ABNA \[=\frac{1}{2}{{d}_{1}}\times {{d}_{2}}\]