Respuesta :

We get the length of AB as 7.37 pi units

We are given that:

AB || CD

AD = 36 cm

AD is the diameter of the circle.

So, we get that

1 / 2 AD = Radius (r)

r = 36 / 2 cm = 18 cm

Now, we are also given that:

∠ BAD = 50°

Since  AD  is a diameter, we get that:

ABD will form a right triangle with ∠ ABD  = 90°

∠ ADB   = 40° ( Angle sum property)

AB will be:

sin (40)  = AB  / 36

AB  = 36 * sin (40) = 23.140353948732  

AB ≈ 7.37 pi units

Therefore, we get the length of AB as 7.37 pi units

Learn more about diameter here:

https://brainly.com/question/10907234

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