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The Area of Sector is One-twelfth that of the Complete Circle. Find the Angle of the Sector . - Mathematics

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प्रश्न

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

योग

उत्तर

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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अध्याय 13: Areas Related to Circles - Exercise 13.2 [पृष्ठ २५]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 13 Areas Related to Circles
Exercise 13.2 | Q 23 | पृष्ठ २५

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