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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Rectangle ABCD
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leonswati
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You have missed something in statement 2.. The question isGmatKiss 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.
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
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A is the answer.IMO Option 2 is insufficient to answer the question. Can you please explain why you think option 2 is sufficient?leonswati wrote:You have missed something in statement 2.. The question isGmatKiss 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.
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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Anurag@Gurome
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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.
(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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leonswati
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neelgandham wrote:A is the answer.IMO Option 2 is insufficient to answer the question. Can you please explain why you think option 2 is sufficient?leonswati wrote:You have missed something in statement 2.. The question isGmatKiss 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.
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
I am sorry... The answer is A....
Swati
