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The area of a sector of a circle with a central angle of 9𝜋/14 rad is 21 m2. Find the radius of the circle. (Round your answer to one decimal place.)

 

 

_____ m

 Nov 17, 2020
 #1
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A (sector)  = (1/2) r^2 θ

 

21  =  (1/2) r^2  ( 9/14)pi

 

42 = (9/14) pi r^2

 

42 / [ (9/14 * pi)]  = r^2

 

196 / (3pi) = r^2

 

14 / sqrt (3pi)  = r ≈ 4.6 m

 

 

cool cool cool

 Nov 17, 2020

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