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.
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