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Find the radius r of the circle if an arc of length 6 m on the circle subtends a central angle of 3π/5 rad. (Round your answer to two decimal places.)

 Nov 17, 2020
 #1
avatar+114221 
+2

Arc length =   r  θ

 

6  = r  ( 3pi/5)

 

6 (5 / (3pi) )  =  r   =  10/pi  ≈  3.18 m

 

 

cool cool cool

 Nov 17, 2020
 #2
avatar+10812 
+2

Find the radius r of the circle if an arc of length 6 m on the circle subtends a central angle of 3π/5 rad. (Round your answer to two decimal places.)

 

Hello Guest!

 

\(b=r\cdot \theta\\ r=\frac{b}{\theta}=\frac{6m}{\frac{3\pi }{5}}=\frac{5\cdot 6m}{3\pi}\)

\(r=3.18\ m\)

laugh  !

 Nov 17, 2020

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