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PUZZLE CLASSIC #289

Circle Relationship
Circle Relationship

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Today's Puzzle

Circle Relationship

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Circle Relationship
:
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the image
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Small circle
π
x
_
x
_
Big circle
π
x
√
(
_
x
_
x
_
)
x
√
(
_
x
_
x
_
)
2
r
2
r
2
r
2
r
2
r
2
r
2
r

One circle is circumscribed around a square. Another circle is inscribed within the same square. Using 2's and r's, show the ratio between the circles' areas.