Calculate the degree measure of an arc of a circle with a radius of 5 cm if the length of the arc is 2п

First, let’s find the length of this circle.

In the initial data for this task, it is reported that the radius of this circle is 5 cm, therefore, the length of this circle is 2 * п * 5 = 10п cm.

We find the ratio of the length of the arc to the length of the entire circle:

2п / (10п) = 1/5.

Since the degree measure of the entire circle is 360 °, and the ratio of the degree measures of the arc and the circle is equal to the ratio of the arc length to the circumference, the degree measure of an arc of length 2p is 360/5 = 72 °.

Answer: The degree measure of the arc is 72 °.