Remember that the formula for the length of the arc is:
[tex]2\pi r\cdot\frac{\theta}{360}[/tex]
Notice that
[tex]2\pi r[/tex]
is the formula for the circumference of the circle.
Using this and the data given, we'll have:
[tex]2\pi r\cdot\frac{\theta}{360}\rightarrow38\cdot\frac{145}{360}[/tex]
Or
[tex]\frac{145}{360}\cdot38[/tex]
Therefore, the correct answer is Option A
