Do the circles overlap? Given the coordinates of the centres and the radii of 2 circles, output a truthy value of whether they do or do not overlap.
Input

Input may be taken via STDIN or equivalent, function arguments, but not as a variable. You can take them as a single variable (list, string etc) or as multiple inputs / arguments, in whatever order you want.

The input will be six floats. These floats will be up to 3 decimal places. The coordinates can be positive or negative. The radii will be positive.


Output

Output can be via STDOUT or function return.

The program must have exactly 2 distinct outputs - one for a True value (the circles do overlap) and one for a False output (they don't overlap).


Test cases
(Input is given as list of tuples [(x1, y1, r1), (x2, y2, r2)] for the test cases; you can take input in any format)
True
[(5.86, 3.92, 1.670), (11.8, 2.98, 4.571)]
[(8.26, -2.72, 2.488), (4.59, -2.97, 1.345)]
[(9.32, -7.77, 2.8), (6.21, -8.51, 0.4)]

False
[(4.59, -2.97, 1.345), (11.8, 2.98, 4.571)]
[(9.32, -7.77, 2.8), (4.59, -2.97, 1.345)]
[(5.86, 3.92, 1.670), (6.21, -8.51, 0.4)]


This is Code Golf, shortest answer in bytes wins.
Jelly, 5 bytes

IA&lt;S}


Takes two complex numbers (centers) as first argument, and two real numbers (radii) as second argument.

Try it online!

How it works

IA&lt;S}  Main link.
       Left argument:  [x1 + iy1, x2 + iy2]
       Right argument: [r1, r2]

I      Increments; yield (x2 - x1) + i(y2 - y1).
 A     Absolute value; yield √((x2 - x1)² + (y2 - y1)²).
   S}  Take the sum of the right argument, yielding r1 + r2.
  &lt;    Compare the results.