Final answer:
An angle measure of 1.2 radians means the arc length created on a circle's circumference is 1.2 times the length of the radius, representing a portion of the circle's total 360-degree or 2π radians revolution.
Step-by-step explanation:
When an angle has a measure of 1.2 radians, it means that the angle is formed by the rotation of a radius of a circle such that the arc length created on the circumference is 1.2 times the length of the radius. If we know the circumference of a circle is 2πr (where r is the radius), then one complete revolution around the circle is 2π radians. Therefore, an angle measured in radians indicates the proportion of the circumference that the arc length represents based on the circle's radius.
For example, in a circle with radius r, an angle of 1.2 radians corresponds to an arc length that is 1.2r. This arc length is part of the total circumference 2πr, where π (pi) is approximately 3.14159. This angle is less than half a turn around the circle since 1.2 is less than half of π, and it's a way to understand the angle's size relative to the circle's total 360-degree rotation, which corresponds to 2π radians.