SOLUTION
1)
Step 1: Write out the given parameters
[tex]\begin{gathered} \text{radius}=6\text{units} \\ \text{length of the arc} \\ =5\pi \end{gathered}[/tex]
Step 2: To find the measure of the angle, we will use the length of a sector formula, which is:
[tex]\begin{gathered} \text{length of arc } \\ =\frac{\theta}{360}\times2\pi r \end{gathered}[/tex][tex]\begin{gathered} 5\pi=\frac{\theta}{360}\times2\times\pi\times6 \\ \theta=\frac{5\pi\times360}{2\times\pi\times6} \\ \theta=\frac{1800}{12} \\ \theta=150^o \end{gathered}[/tex]
T
