Before revision:  In this paper, we present a new sufficient condition for packing circles into any right or obtuse triangle using only the circles' combined area: It is possible to pack any circle instance whose combined area does not exceed the triangle's incircle .
After revision:  In this paper, we present a new sufficient condition for packing circles into square and triangular containers, using only the circles' combined area: It is possible to pack any circle instance whose combined area does not exceed the triangle's incircle .