Final answer:
The arc length of a sector with a radius of 4 feet and a central angle of 6° is (8/15) * π feet.
Step-by-step explanation:
The arc length of a sector can be found using the formula:
Arc length = (Angle in degrees / 360) * 2 * π * Radius
In this case, the radius is 4 feet and the central angle is 6°. Plugging these values into the formula:
Arc length = (6° / 360) * 2 * π * 4 = (1/60) * 2 * π * 4 = (1/15) * 2 * π * 4 = (8/15) * π feet
Therefore, the arc length of the sector is (8/15) * π feet.