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GRE in a couple of days.!
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The center of the larger circle is the point P, which lies on the circumference of the smaller circle. The two circles intersect at the point Q.


Quantity A

The fraction of the larger circular region that is shaded

Quantity B

?/4 


Here is the figure.
Can anyone tell me why the hell is the Manhattan GRE assuming that the diameter of the smaller circle would pass through the radius of the smaller circle.


I am choosing D if this appears on the GRE unless someone tells me otherwise.


Best
Stone.

Stone Cold · Answer

Thanks mate.
I am gonna cram this line --> In short, 1 point of intersection b/w two circles makes it necessary for smaller circles dia to pass through radius of larger circle..


Thanks again 
Stone

Vivek Reddy · Answer

What is the quantity ?/4 ?

siddharth verma · Answer

Haha.. you have helped me in the morning.. I think I can lend you my little knowledge here.

Diameter of smaller circle has to pass through centre coz the two circles are touching at Q. If Diameter of smaller circle is greater than Radius of larger and P which is centre of larger circle still lie on smaller circle. The two circles would intersect each other instead of touching at a single point Q.

In short, 1 point of intersection b/w two circles makes it necessary for smaller circles dia to pass through radius of larger circle..

Regards,
Siddharth

siddharth verma · Answer

Dont mug up.. quants is about understanding.. Do you want me to help you prove this mathematically ?

Ajai Singh · Answer

You sure your question is correct?

Kaviarasu Sakthivadivel · Answer

Hi. But for this, 3/4 is the answer for quantity A right?

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