Java – find out if one circle is inside another

I'm in a bit of trouble. I have a task asking me to find a second circle, whether it overlaps, inside or in the second circle However, I cannot check for overlap if the second circle is within the first circle

(the variables used are x1, X2, Y1, Y2, R1, R2, distance)

This is what I have:

if (distance > (r1 + r2)) {
        // No overlap
        System.out.println("Circle2 does not overlap Circle1");
    } else if (distance <= Math.abs(r1 + r2)) {
        // Overlap
        System.out.println("Circle2 overlaps Circle1");
    } else if ((distance <= Math.abs(r1 - r2)) {
        // Inside
        System.out.println("Circle2 is inside Circle1");
}

I'm worried about overlap and internal checking, but I can't figure out how to set it correctly, so I can reliably check whether the second circle is in the first

Any help or advice will be appreciated because I have tried many ways, but the solution is just to escape me every time

Solution

If you only need to check the internal distance before overlapping, the internal distance is < = overlapping distance

if (distance > (r1 + r2)) 
{
    // No overlap
    System.out.println("Circle2 does not overlap Circle1");
}
else if ((distance <= Math.abs(r1 - r2)) 
{
    // Inside
    System.out.println("Circle2 is inside Circle1");
}
else              // if (distance <= r1 + r2)
{
   // Overlap
   System.out.println("Circle2 overlaps Circle1");
}

Revise the answer according to Chris's opinion