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# What is the measure of the angle x enclosed by the sector in the circl

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Math Expert
Joined: 02 Sep 2009
Posts: 52902
What is the measure of the angle x enclosed by the sector in the circl  [#permalink]

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04 Sep 2018, 22:39
00:00

Difficulty:

25% (medium)

Question Stats:

93% (01:03) correct 7% (00:29) wrong based on 17 sessions

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What is the measure of the angle x enclosed by the sector in the circle shown?

(1) The perimeter of the sector is 5.
(2) The area of the circle is 12π.

Attachment:

image001.jpg [ 3.17 KiB | Viewed 197 times ]

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Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Re: What is the measure of the angle x enclosed by the sector in the circl  [#permalink]

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05 Sep 2018, 00:01
Bunuel wrote:

What is the measure of the angle x enclosed by the sector in the circle shown?

(1) The perimeter of the sector is 5.
(2) The area of the circle is 12π.

Attachment:
image001.jpg

(1) The perimeter of the sector is 5.
2$$\pi$$r*$$\frac{x}{360}$$ +2r =5
r and x are unknown insufficient

(2) The area of the circle is 12π.
$$\pi$$ $$r^2$$ = 12$$\pi$$
r=$$\sqrt{12}$$
insufficient

using both
substitute r in
2$$\pi$$r*$$\frac{x}{360}$$ +2r =5

sufficient
C
Re: What is the measure of the angle x enclosed by the sector in the circl   [#permalink] 05 Sep 2018, 00:01
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