In a circle of radius 10.5 cm, the minor arc is one-fifth of the major arc. Find the area of the sector corresponding to the major arc.

Given radius of circle = R = 10.5 cm

Let the area of major sector be ‘A₁’ and that of minor sector be ‘A₂’

We know, Area of circle = Area of major sector + Area of minor sector

⇒ Area of circle = A₁ + A₂

We also know, Area of circle = πR²

Where R = radius of circle, put value of area of circle in equation 2.

(taking 5 as L.C.M on R.H.S)

= 288.75 cm²

The area of major sector is 288.75 cm².