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Mathematics

1 answer:

lianna [129]3 years ago

3 0

9514 1404 393

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

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