Final answer:
The length of the arc in the circle with radius 4.6 and an angle of 5.4 radians is approximately 24.84 units.
Step-by-step explanation:
The angle of rotation in a circle is measured using a unit called the radian. One complete revolution in a circle is equal to 2π radians. To find the length of an arc, we can use the formula:
Length of Arc = Radius x Angle in Radians
In this case, the radius is 4.6 units and the angle is 5.4 radians. Plugging in these values into the formula, we get:
Length of Arc = 4.6 x 5.4 = 24.84
Therefore, the length of the arc in the circle with radius 4.6 and an angle of 5.4 radians is approximately 24.84 units.