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If He Area of a Sector of a Circle is 7 20 of the Area of the Circle, Then the Sector Angle is Equal to - Mathematics

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प्रश्न

If he area of a sector of a circle is \[\frac{7}{20}\] of the area of the circle, then the sector angle is equal to 

विकल्प

  • 110° 

  • 130°

  • 100°

  • 126°

MCQ

उत्तर

We have given that area of the sector is `7/20` 

of the area of the circle.

Therefore, area of the sector =` 7/20xx` area of the circle 

`∴ θ/360xxpir^2=7/20xxpir^2`

Now we will simplify the equation as below, 

`θ/360=7/20`

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

`∴ θ=7/20xx360`

Therefore, sector angle is `126°`

 

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 13: Areas Related to Circles - Exercise 13.6 [पृष्ठ ७२]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 13 Areas Related to Circles
Exercise 13.6 | Q 36 | पृष्ठ ७२

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