Question

The area of sector is one-twelfth that of the complete circle. Find the angle of the sector .

Answer 1

We know, `A= θ/360xx "Area of the circle"`      ..........(1)

Let the area of the circle be Ar. 
Thus area of the sector =` 1/12 Ar`   ..........(2) 

From (i) and (ii) we have 

`1/12 Ar = θ/360xx Ar`

`⇒ 360/12=θ` 

`⇒ θ=30°`