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What is the radius of a circle with a central angle of 4π7 radians that intercepts an arc of length 12π inches?

 Feb 17, 2018
 #1
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The answer is 21 in.

 Feb 17, 2018
 #2
avatar+99580 
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We have

 

Arc Length  =  r * theta (in rads)      ....so......

 

12pi  =  r *  (4/7 pi)         divide out  "pi"

 

12  =  r  ( 4/7)         multiply both sides by  7/4

 

12 (7/4)  =  r   =   84/4  =  21 inches

 

 

cool cool cool

 Feb 18, 2018

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