Answer:
∅ = 5 radians
Step-by-step explanation:
[tex]Arc.Length=2\pi r(\frac{Ctrl.Angle}{360} )[/tex]
[tex]Ctrl.Angle=\frac{360(Arc.length)}{2\pi r}[/tex]
∅ [tex]=\frac{(360)(15)}{2\pi (3)}[/tex]
∅ = 286.48°
In radians:
∅ = (286.48)(3.1416)/180 = 5 radians
Hope this helps
