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# What is the area of the shaded region, if O is the center of the circl

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Math Expert
Joined: 02 Sep 2009
Posts: 55266
What is the area of the shaded region, if O is the center of the circl  [#permalink]

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11 Sep 2018, 02:11
00:00

Difficulty:

25% (medium)

Question Stats:

86% (01:01) correct 14% (01:04) wrong based on 25 sessions

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What is the area of the shaded region, if O is the center of the circle, and the triangle shown is a right triangle?

(1) The diameter of the circle is 6.
(2) The triangle shown is a right triangle.

Attachment:

image018.jpg [ 2.2 KiB | Viewed 561 times ]

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Re: What is the area of the shaded region, if O is the center of the circl  [#permalink]

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11 Sep 2018, 06:41
Bunuel wrote:

What is the area of the shaded region, if O is the center of the circle, and the triangle shown is a right triangle?

(1) The diameter of the circle is 6.
(2) The triangle shown is a right triangle.

Attachment:
image018.jpg

Statement 1: The diameter of the circle is 6.
We can not calculate any other dimension unless at least one of the other 2 sides of the triangle is given to us.
Insufficient

Statement 2: The triangle shown is a right triangle.
Repeats the question stem.
Insufficient.

Combining Statements 1 & 2
Nothing new
Insufficient.

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Re: What is the area of the shaded region, if O is the center of the circl  [#permalink]

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11 Sep 2018, 11:13
Bunuel wrote:

What is the area of the shaded region, if O is the center of the circle, and the triangle shown is a right triangle?

(1) The diameter of the circle is 6.
(2) The triangle shown is a right triangle.

Attachment:
image018.jpg

Statement 1 - We cannot use this information to find the area of shaded region.

Statement 2 - This is a redundant information and it's of no use. If this option had mentioned the triangle to be an isosceles, then we can say the answer is C.

Combining 1 and 2 - No use.

Hence E.

Cheers!
Re: What is the area of the shaded region, if O is the center of the circl   [#permalink] 11 Sep 2018, 11:13
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