Rectangle ABCD

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GmatKiss: Legendary Member; Posts: 2789; Joined: Tue Jul 26, 2011 12:19 amFollowed by: 43 members; Location: Chennai, India; Thanked: 206 times; GMAT Score:640

by GmatKiss » Sat Oct 15, 2011 11:33 am

Rectangle ABCD is inscribed in a circle as shown above. What is the radius of the circle?
(1) The length of the rectangle is and the width of the rectangle is 1.
(2) The length of are AB is of the circumference of the circle.

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Source: Beat The GMAT — Data Sufficiency | Sat Oct 15, 2011 11:33 am

samyukta: Junior | Next Rank: 30 Posts; Posts: 24; Joined: Sat Aug 20, 2011 2:57 amFollowed by: 1 member; Thanked: 1 times

by samyukta » Sat Oct 15, 2011 2:46 pm

can u plz check st 2??

St 1 is sufficient as we can find diagonal and thereby the dia..

ST 2??? something missing..

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leonswati: Senior | Next Rank: 100 Posts; Posts: 94; Joined: Sun Aug 29, 2010 3:40 amFollowed by: 1 member; Thanked: 3 times

by leonswati » Sun Oct 16, 2011 11:18 am

GmatKiss 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 and the width of the rectangle is 1.
(2) The length of are AB is of the circumference of the circle.

You have missed something in statement 2.. The question is

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

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

IMO D..Both statements are sufficient

Swati

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neelgandham: Community Manager; Posts: 1060; Joined: Fri May 13, 2011 6:46 amFollowed by: 52 members; Location: Utrecht, The Netherlands; Thanked: 318 times

by neelgandham » Sun Oct 16, 2011 6:51 pm

leonswati wrote:
GmatKiss 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 and the width of the rectangle is 1.
(2) The length of are AB is of the circumference of the circle.
You have missed something in statement 2.. The question is

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

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

IMO D..Both statements are sufficient

A is the answer.IMO Option 2 is insufficient to answer the question. Can you please explain why you think option 2 is sufficient?

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Mon Oct 17, 2011 2:45 am

Rectangle ABCD is inscribed in a circle as shown above. What is the radius of the circle?
(1) The length of the rectangle is âˆš3 and the width of the rectangle is 1.
(2) The length of arc AB is 1/3 of the circumference of the circle.

(1) Length = âˆš3 and width = 1
So, we can apply Pythagoras Theorem to find the diagonal of the rectangle, which will be the diameter of the circle, and therefore we can find the radius; SUFFICIENT.

(2) Length of an arc = (angle subtended at the center * pi * r)/180
So, (angle subtended at the center * pi * r)/180 = 1/3 * (2 * pi * r)
angle subtended at the center = (2 * 180)/3, but we cannot find the radius using this; NOT sufficient.

The correct answer is A.

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leonswati: Senior | Next Rank: 100 Posts; Posts: 94; Joined: Sun Aug 29, 2010 3:40 amFollowed by: 1 member; Thanked: 3 times

by leonswati » Mon Oct 17, 2011 6:15 am

neelgandham wrote:
leonswati wrote:
GmatKiss 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 and the width of the rectangle is 1.
(2) The length of are AB is of the circumference of the circle.
You have missed something in statement 2.. The question is

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

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

IMO D..Both statements are sufficient
A is the answer.IMO Option 2 is insufficient to answer the question. Can you please explain why you think option 2 is sufficient?

I am sorry... The answer is A....

Swati

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