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Rectangle ABCD

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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: — Data Sufficiency |
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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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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
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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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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 √3 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 = √3 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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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....
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