I need to know the length in miles of arc BDC?

Using the formula of the arc length, we have:
[tex]\begin{gathered} s=r\cdot\theta \\ s=4\cdot(\frac{5\pi}{4})\text{ miles} \\ s=\frac{20\pi}{4}\text{ (Multiplying)} \\ s=5\pi\text{ (Dividing)} \\ \text{The answer is 5}\pi \end{gathered}[/tex]