SOLUTION: what is the ratio of two circles circumferences if one inscribes a square and teh other circumscribes the same square

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Question 865464: what is the ratio of two circles circumferences if one inscribes a square and teh other circumscribes the same square
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what is the ratio of two circles circumferences if one inscribes a square and the other circumscribes the same square.
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Let the square have side = x
Then the diameter is sqrt(2)x
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Inscribed circle DATA:
diameter = s
Circum = pi*s
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Circumscribed circle DATA:
diameter = sqrt(2)s
Circum = pi*sqrt(2)s
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Ratio of inscribed circum to circumscribed circum:
pi*s/pisqrt(s) = s:sqrt(2)s or 1:sqrt(2)
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Cheers,
Stan H.