Final answer:
The arc length can be found using the formula arc length = radius * central angle. Substituting the given values, we can calculate the arc length to be 7.14 ft.
Step-by-step explanation:
To find the arc length, we can use the formula:
arc length = radius * central angle
Since the radius is given as 12.6 ft and the central angle is given as 2π/7 radians, we can substitute these values into the formula:
arc length = 12.6 ft * (2π/7)
Using the value of π as 3.14, we can calculate the arc length to the nearest hundredth:
arc length = 12.6 ft * (2 * 3.14/7) = 7.14 ft