Answer:
The arc length is [tex]6.63\ ft[/tex]
Step-by-step explanation:
we know that
The formula to calculate the arc length is equal to
[tex]s=r\theta[/tex]
where
r is the radius
[tex]\theta[/tex] is the angle measured in radians
In this problem we have
[tex]r = 20\ ft[/tex]
[tex]\theta=19\°[/tex]
Convert degrees to radians
by proportion
[tex]\frac{\pi}{180}\frac{radians}{degrees} =\frac{x}{19}\frac{radians}{degrees}\\ \\x=19\pi /180[/tex]
Substitute in the formula
[tex]s=20(19\pi /180)=6.63\ ft[/tex]
