Final answer:
To find the length of the arc of a circle, you can use the formula: arc length = (angle / 2π) x circumference.
Step-by-step explanation:
The formula arc length = (angle / 2π) x circumference can be used to determine the length of an arc on a circle. In this instance, the center angle (3π/4 radians) and the circle's diameter (2 meters) are provided. The circle's radius is one meter since it is half its diameter. Since 2πr gives the circle's circumference, the circumference is 2π meters. These values, when entered into the formula, yield:
Arc length is equal to (3π/4 / 2π) x 2π, or 3/8 x 2π, or 3π/4 meters.