Find the length of the arc equal to 0.8 of the circumference of a circle with a radius of 5.5 cm.

Let’s write the formula for determining the circumference (L) in terms of the radius and calculate it with a radius of 5.5 centimeters:

L = 2 * π * r = 2 * 3.14 * 5.5 = 34.54 (cm).

Now we find the given arc length, for this we multiply the length of the whole circle by 0.8:

0.8 * L = 0.8 * 34.54 = 27.632 (cm).

Answer: The length of the arc of a circle is 27.632 centimeters.