I doubth .

For (d< r0 + r1) ignore the point with smaller radius as it will
overshadowed the bigger circle completely

There may be a case where the circle is partially overlapped by the
other circles. Then this algo will fail .

The area will be of like these :-

Suppose 3 circles are there X,Y&Z .
Then the area will be :-

Case1:-  X+Y+Z
Case2:-  X+(YUZ) ==>> Y + Z - (YnZ) <--- intersection
case3:- There circle can overlap ... like these .

Then Will your algo work .. I guess no .

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