Let's let's examine two possible cases:

case i: If we draw two lines that are symmetric about the vertical and horizontal dotted lines AND we have those lines passing through the center of the circle, we can see that the area of region A is EQUAL TO the area of region B

In other words, the two quantities are equal


case ii: If we move those two symmetric lines up a bit, we still meet the given conditions. HOWEVER, this time the area of region A is LESS THAN the area of region B





Answer: D

Cheers,
Brent
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Explanation

we are told that the two given shaded areas are equal however no more information is given.
We cannot assume that the two chords drawn on the circle pass through the center of the circle and form the diameter.
If that was the case A and B would be equal but without that information we cannot for certain conclude that the two areas are equal
option D
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Isn't the answer C?

correct: D
It might be deduced that the two crossing lines are diameters. But it is possible that we draw lines upper or lower, in every part of the circle, to make equal spaces. so without no more information, we can't deduce that lines are diameters and the unshaded parts are equal or not.
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We don't know the center
Ans D

Hi,

The only thing I'd like to add is : DO NOT GET TRICKED BY THE DIAGRAMS. ACUSTOM YOUR BRAIN FOR SUCH TRICKS BY ETS.

The two lines could be broader or narrower and the area could be changed accordingly.

IMO D

Hope this helps

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Regards

Answer: D

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