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# What is the area of the circle with center O?

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Math Expert
Joined: 02 Sep 2009
Posts: 55277
What is the area of the circle with center O?  [#permalink]

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12 Sep 2018, 00:22
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Difficulty:

15% (low)

Question Stats:

86% (01:04) correct 14% (02:04) wrong based on 29 sessions

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What is the area of the circle with center O?

(1) The sector has a perimeter of 4 + π.
(2) The measure of the two other angles in the triangle is 45 degrees each

Attachment:

image002 (1).jpg [ 2.6 KiB | Viewed 439 times ]

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Re: What is the area of the circle with center O?  [#permalink]

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12 Sep 2018, 19:29
1
Perimeter of the sector 2r+pi*r/2
1)2r+pi*r/2=4+pi
r=2
2)Insufficient
Status: Preparing for GMAT
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What is the area of the circle with center O?  [#permalink]

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12 Sep 2018, 22:02
Bunuel wrote:

What is the area of the circle with center O?

(1) The sector has a perimeter of 4 + π.
(2) The measure of the two other angles in the triangle is 45 degrees each

Attachment:
image002 (1).jpg

Area=$$\pi r^2$$
S1 = Sector perimeter = 4+$$\pi$$ = 2r+$$\frac{2\pi r}{4}$$
We can find r and hence the area. Sufficient.

S2 - No values given.
Insufficient.
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What is the area of the circle with center O?   [#permalink] 12 Sep 2018, 22:02
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