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# Rectangle ABCD is inscribed in a circle as shown above. What is the ra

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Math Expert
Joined: 02 Sep 2009
Posts: 52231
Rectangle ABCD is inscribed in a circle as shown above. What is the ra  [#permalink]

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25 May 2018, 00:08
00:00

Difficulty:

15% (low)

Question Stats:

82% (01:06) correct 18% (01:12) wrong based on 73 sessions

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Project DS Butler: Day 60: Data Sufficiency (DS119)

Rectangle ABCD is inscribed in a circle as shown above. What is the radius of the circle?

(1) The length of the rectangle is √3 and the width of the rectangle is 1.
(2) The length of arc AB is 1/3 of the circumference of the circle.

Attachment:

gmat3_147.jpg [ 3.59 KiB | Viewed 606 times ]

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Re: Rectangle ABCD is inscribed in a circle as shown above. What is the ra  [#permalink]

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25 May 2018, 00:14
Bunuel wrote:

Rectangle ABCD is inscribed in a circle as shown above. What is the radius of the circle?

(1) The length of the rectangle is √3 and the width of the rectangle is 1.
(2) The length of arc AB is 1/3 of the circumference of the circle.

Attachment:
gmat3_147.jpg

(1) We can find the diagonal of the rectangle ($$d=2$$). Radius of the circle is half the diagonal ($$r=1$$). Sufficient.

(2) Here we have only relative values. Insufficient.

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Re: Rectangle ABCD is inscribed in a circle as shown above. What is the ra  [#permalink]

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04 Jan 2019, 08:20

Project DS Butler: Day 60: Data Sufficiency (DS119)

Bumping for DS butler Project
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Re: Rectangle ABCD is inscribed in a circle as shown above. What is the ra &nbs [#permalink] 04 Jan 2019, 08:20
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