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An arc has a central angle of 2/5pi radians and a length of 6pi. What is the circumference of the circle?

 Apr 10, 2021
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We can  use  a proportion

 

6pi   /   [ (2/5)pi ]    =   C   / / [2pi]     simplify

 

(6)  /( 2/5)  =  C  /  [ 2pi ]

 

15  * 2pi  =  C

 

30 pi   = C

 

cool cool cool

 Apr 10, 2021

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