MHB GRE often missed geometry question

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ok this is an observation question but many seem to miss the answer
What theorms would rely on to get the correct answer
 
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let $r$ be the circle radius …

$\Delta POQ$ is a right isosceles triangle

$PQ = r\sqrt{2}$

$MN = 2r$
 
skeeter said:
let $r$ be the circle radius …

$\Delta POQ$ is a right isosceles triangle

$PQ = r\sqrt{2}$

$MN = 2r$
so $\dfrac{2r}{r\sqrt{2}}=\dfrac{2}{\sqrt{2}}\approx1.43<2$
which is B
 
$\dfrac{2}{\sqrt{2}} = \sqrt{2} < 2$

no need for a decimal representation … unless you are “old school” and can recall $\sqrt{2} \approx 1.414$
 
not sure i graduated 1970
 
Beer soaked query follows.
karush said:
not sure i graduated 1970
From high school or college?
 
I graduated high school in 1970, before electronic calculators. Did learn to use a “slip-stick” though.
 
jonah said:
Beer soaked query follows.

From high school or college?A
i graduated from Azusa Pacific University 1970
but i took all my math at Citrus Community College which was next door but only went up to Algebra II handhelds in those days just did elementary math
 

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