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Question
The area of sector is one-twelfth that of the complete circle. Find the angle of the sector .
Solution
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°`
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