Calculating Force from Two Circular Rings | Exam Prep

[dangish]

Consider two circular rings, each of radius R = 25.0 cm ,
separated by 0.10 cm as shown. Each ring carries a current
I = 3.0 A. What is the magnitude of the force exerted on one ring by
the other ring?

is there any way to do this without integrating around the whole circle??

I have an exam tomorrow and some advice would be greatly appreciated.

 

[dangish]

i tried using B=u0I/2Pi*r to get the magnetic field, then using F = ILxB to get force on one ring to another, but I don't think Its right