Find the radius of the circle if the arc length is 4п (pi) cm, and the corresponding central angle is 60 (degrees)

The length of a circular arc is expressed by the following formula: L = P * R * n / 180, where R is the radius of the circle, and n is the value of the corresponding central angle in degrees.
According to the conditions of the problem, the length of the arc is L = 4П, and the value of the central angle is n = 60 degrees. Substitute these values into the arc length formula and get: 4п = п * R * 60/180,
We reduce both sides by п and divide 60 by 180 we get 4 = R / 3. Thus, R = 12 (cm).
Answer: 12 cm.