In radians, it is 2/5 radians
In degrees, it is 11.5 degrees
Explanation:radius = 5 feet
arc length = 2 feet
The formula relating the radius and the arc length is given as:
[tex]\begin{gathered} s\text{ = r}\theta \\ \text{where s = arc length} \\ r=radius\text{ } \end{gathered}[/tex][tex]\begin{gathered} \text{substitute the values:} \\ \text{ 2 = 5}\theta \\ \text{divide through by 5:} \\ \frac{2}{5}\text{ = }\theta \\ \\ In\text{ radians, }\theta\text{ = 2/5} \end{gathered}[/tex]We will convert from radians to degrees:
[tex]\begin{gathered} 1\text{ }\pi\text{ rad = 180 degr}ees \\ \frac{2}{5}rad\text{ = }\frac{2}{5}\text{ rad}\times\frac{180\text{ degr}ees}{\pi\text{ rad}} \\ \\ =\text{ }\frac{36\text{ degr}ees}{\pi\text{ }} \\ =\text{ }11.5\text{ degr}ees \end{gathered}[/tex]In radians, it is 2/5 radians
In degrees, it is 11.5 degrees
