Given : The radius of the circle (r ) = 5 cm.

And, the length of the chord = √50 cm.

Area of major segment = Area of circle - Area of minor segment. \ \

Area of minor segment = Area of the sector - Area of .

The area of the sector = .

Here ,, in .

So, .

Substitute the values , , and r = 5 in .

Area of the sector = 

                             =

                             = .

Now, Area of = .

Base = Height = Radius of the circle = 5 cm.

Substitute the values of base = 5, and height = 5 in .

Area of =

                           = .

Area of minor segment = Area of the sector - Area of .

                                        =

                                        = .

Area of major segment = Area of circle - Area of minor segment.

                                        =

                                        = .

Therefore, area of the major segment is .

50−−√50−−√50−−√