A circle with radius 3 has a sector with a central angle of 1/9 pi radians

Mathematics · College · Tue Nov 03 2020

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Given:

Radius, r = 3 m

Central angle of a sector, α = 1/9π radians

Formula:

 

Area of sector, A = 1/ 2 × α × r²

 

On substituting the value we get:

Area = 1/ 2 × 1/9 × 3.14 × 3²

= 1/ 2 × 1/9 × 3.14 × 9

= 1.57 m²

 

Thus, Area or sector is 1.57 m²

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