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In the circle below, AB is parallel to CD, AD is a diameter of the circle, and AD = 36.What is the length of AB?

 

 Jun 26, 2022
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Let O be the center of the circle....draw  radii OA and OB =  18

 

Triangle OAB will be isoceles with angle AOB   =  180 - 2*42 =  180 = 84  = 96°

 

By the Law of Sines

 

AB  /sin 96°  =  OB  /sin 42°

 

AB / sin 96° = 18 / sin 42°

 

AB =  18 * sin (96°) / sin 42°  ≈  26.75

 

 

cool cool cool 

 Jun 26, 2022

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