The radii of the two circles are 5cm and 9cm. What are their arcs corresponding to a central angle of 60 degrees?

To determine the length of an arc of a circle, we will use the formula: π * r * n / 180,

where π is a mathematical constant, r is the radius of the circle, n is the degree value of the central angle.

Let us determine the length of the arc of a circle, knowing by the condition of the problem that its radius is 5 centimeters, and the central angle is 60 °:

3.14 * 5 * 60/180 ≈ 5.23.

Let us determine the length of the arc of a circle, knowing by the condition of the problem that its radius is 9 centimeters, and the central angle is 60 °:

3.14 * 9 * 60/180 = 9.42.

Answer: Lengths: ≈ 5.23 and 9.42.