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# What is the area of the sector Y?

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Math Expert
Joined: 02 Sep 2009
Posts: 49275
What is the area of the sector Y?  [#permalink]

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07 Sep 2018, 01:34
00:00

Difficulty:

45% (medium)

Question Stats:

81% (01:15) correct 19% (00:55) wrong based on 16 sessions

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What is the area of the sector Y?

(1) Area of the sector X is 2π.
(2) The diameter of the circle is $$4\sqrt{3}$$.

Attachment:

image009.jpg [ 4.07 KiB | Viewed 179 times ]

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Re: What is the area of the sector Y?  [#permalink]

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07 Sep 2018, 02:38
Bunuel wrote:

What is the area of the sector Y?

(1) Area of the sector X is 2π.
(2) The diameter of the circle is $$4\sqrt{3}$$.

Attachment:
image009.jpg

Question: What is the area of the sector Y?

To calculate the area of sector Y, we need the angles subtended by sector Y at the centre and the radius of the circle

Statement1: Area of the sector X is 2π.
Angle and radius of circle are missing

NOT SUFFICIENT

Statement 2: The diameter of the circle is [m]4\sqrt{3}
Radius is now known but angle subtended by Y at centre is missing

NOT SUFFICIENT

After combining the two statements
We can calculate the angle subtended by sector X
angle of sectorX + angle of sector Y = 180
i.e. now e know the angle of sector Y as well as the radius of sector Y hence

SUFFICIENT

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Re: What is the area of the sector Y? &nbs [#permalink] 07 Sep 2018, 02:38
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