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In a circle with radius 4.6 , an angle measuring 5.4 radians interc length of the arc to the nearest 1oth.

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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.

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