The measure of an angle in radians is the ratio of the arc length created by the angle to the circle’s radius. If the radius is 6 feet and the arc length is 2π , then define the angle measure in radians.

Given that the arc length is 2π and the radius is 6 feet, the angle measure in radians can be defined as:

angle in radians = arc length / radius
= 2π / 6
= π/3

Therefore, the angle measure in radians is π/3.