As a previous commenter mentions, giving the error bars is much more informative than "significant figures"; significant figures is inherently biased on a base ten number system.
"(12.0 +/- .05) / 2 == (6.00 +/- .025)", which is a lot different than "6.00 +/- .005" suggested by "3 sig figs"...
12.0 is a measurement with 3 sig figs.
To get the radius, we divide by 2. This "2" is not measured, it is perfect, with infinite sig figs.
The result will have the lesser of the two sig fig counts. In this case, that's 3 sig figs.
So the radius is not "6.0" (with 2 sig figs), it is "6.00"...