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The area of the two shaded regions of the circle are equal.

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The area of the two shaded regions of the circle are equal. [#permalink] New post 18 Mar 2018, 10:53
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41% (00:25) correct 58% (00:13) wrong based on 12 sessions
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The areas of the two shaded regions of the circle are equal.

Quantity A
Quantity B
The area of unshaded region A of the circle
The area of unshaded region B of the circle


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: The area of the two shaded regions of the circle are equal. [#permalink] New post 18 Mar 2018, 23:47
Isn't the answer C?
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Re: The area of the two shaded regions of the circle are equal. [#permalink] New post 19 Mar 2018, 07:56
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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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Re: The area of the two shaded regions of the circle are equal. [#permalink] New post 19 Mar 2018, 16:01
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.
Re: The area of the two shaded regions of the circle are equal.   [#permalink] 19 Mar 2018, 16:01
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The area of the two shaded regions of the circle are equal.

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