We can use the formula R = (L^2 + 4D^2) / 8D, where R is the radius of the circle, L is the length of the chord, and D is half the distance from the chord to the center of the circle. In this case, L = 22 cm and D = 60 cm / 2 = 30 cm. Plugging in these values, we get:
R = (22^2 + 4(30)^2) / 8(30)
R = (484 + 4(900)) / 240
R = 2384 / 240
R = 9.933... cm
Therefore, the radius of the circle is approximately 9.933 cm.