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Answer:
x² +y² = 16
Step-by-step explanation:
The diagonal of a square is √2 times the side length, so the diameter of a circumscribed circle is √2 times the diameter of an inscribed circle. Each of the two outer circles is √2 times the diameter of the one just inside it, so the outer circle is (√2)(√2) = 2 times the diameter of the inner circle.
The equation of the largest circle with radius 2·2=4 is ...
x² +y² = 16
