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To answer this question, you should set up a proportion: central angle/360 = arc length/circumference where the central angle = 45 and circumference = 128 ft. After you cross multiply, you should find that the arc length of AB equals 16 ft, which is A.

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Circumference of circle = 128 ft

So, as we know the formula for "Circumference of circle":

[tex]C=2\pi r=128\ ft[/tex]

We need to find the length of an arc AB.

As we know that the formula for "Length of an arc":

[tex]Length=\frac{\theta}{360\textdegree}\times 2\pi r\\\\L=\frac{45\textdegree}{360\textdegree}\times 128\\\\Length=16\ ft[/tex]

Hence, Option 'A' is correct.


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