मराठी

If the Area of a Sector of a Circle is 5 18 of the Area of the Circle, Then the Sector Angle is Equal to - Mathematics

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प्रश्न

If the area of a sector of a circle is `5/18` of the area of the circle, then the sector angle is equal to 

पर्याय

  • 60°

  • 90° 

  • 100° 

  • 120° 

MCQ

उत्तर

We have given that area of the sector is  `5/18`of the area of the circle. 

Therefore, area of the sector =`5/18xx` area of the circle 

`∴ θ/360xxpir^2=5/18xxpir^2`

Now we will simplify the equation as below, 

`θ/360=5/18`

Now we will multiply both sides of the equation by 360,

`∴ θ=5/18xx360`

`∴ θ=100`

Therefore, sector angle is `100°`

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पाठ 13: Areas Related to Circles - Exercise 13.6 [पृष्ठ ७१]

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आरडी शर्मा Mathematics [English] Class 10
पाठ 13 Areas Related to Circles
Exercise 13.6 | Q 35 | पृष्ठ ७१

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