Answer:
The arc length is 185.39 meters.
Step-by-step explanation:
The arc length is calculated by the following expression:
[tex]\Delta s = \Delta \theta \cdot r[/tex]
Where:
[tex]r[/tex] - Radius, measured in meters.
[tex]\Delta \theta[/tex] - Central angle, measured in radians.
If [tex]r = 36.9\,m[/tex] and [tex]\Delta \theta =\frac{8}{5}\pi\, rad[/tex], the arc length, measured in meters, is:
[tex]\Delta s = \frac{8}{5}\pi\cdot (36.9\,m)[/tex]
[tex]\Delta s = \frac{8}{5}\cdot (3.14)\cdot (36.9\,m)[/tex]
[tex]\Delta s \approx 185.386\,m[/tex]
[tex]\Delta s \approx 185.39\,m[/tex]
The arc length is 185.39 meters.
