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In the circle below, AB || CD, AD  is a diameter of the circle, and AD = 36. What is the number of inches in the length of arc AB?  Express your answer in terms of pi.

 

 Jul 21, 2022
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Let the center =   O

Draw OB

 

Then OA =  OB    so in triangle OAB  angles   BAO   and ABO   are equal    =  60°

So angle OAB  also =  60°

 

And  arc   AB   =   60° =   1/6 of the circle's circumference

 

The radius of the circle =  18

 

So   arc   AB =   (1/6)* 2 * pi ( 18)  =    6 pi 

 

 

cool cool cool

 Jul 21, 2022

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