If the angular velocity ratio of a and B particles in circular motion is 3:1 and the linear velocity ratio is 2:3, what is the radius and period ratio? Circular motion

If the angular velocity ratio of a and B particles in circular motion is 3:1 and the linear velocity ratio is 2:3, what is the radius and period ratio? Circular motion

The angular velocity ratio of particle A and particle B is 3:1
So their period ratio is 1:3
Linear velocity = 2x3.14x R / T, linear velocity ratio = (r1xt2) / (r2xt1) = 2:3
The radius ratio (R1: R2) = (2 / 3) x (T1 / T2) = 2:9