GRE often missed geometry question

[karush]

ok this is an observation question but many seem to miss the answer
What theorms would rely on to get the correct answer

 

[skeeter]

let $r$ be the circle radius …

$\Delta POQ$ is a right isosceles triangle

$PQ = r\sqrt{2}$

$MN = 2r$

 

[karush]

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

 

[skeeter]

$\dfrac{2}{\sqrt{2}} = \sqrt{2} < 2$

no need for a decimal representation … unless you are “old school” and can recall $\sqrt{2} \approx 1.414$

 

[karush]

not sure i graduated 1970

 

[jonah1]

Beer soaked query follows.

not sure i graduated 1970

From high school or college?

 

[skeeter]

I graduated high school in 1970, before electronic calculators. Did learn to use a “slip-stick” though.

 

[karush]

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