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Updated 3.17. Rectangle ABCD is inscribed in a circle. What [#permalink]

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03 Oct 2006, 05:30

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3.17. Rectangle ABCD is inscribed in a circle. What is the radius of the circle?
(1) The length of the rectangle is root 3 and the width of the rectangle is 1.
(2) The length of are AB is 1/3 of the circumference of the circle.

St 1 indictaes rectangle is actually a square as length=width.
Thus circle with square incribed in it the diagonal of square is diameter for the circle. Thus st1 is suff.
St 2 is insuff

3.17. Rectangle ABCD is inscribed in a circle. What is the radius of the circle? (1) The length of the rectangle is root 3 and the width of the rectangle is 1. (2) The length of are AB is 1/3 of the circumference of the circle.

A. 1. with length and width we can find diagonal = diameter of the cricle

3.17. Rectangle ABCD is inscribed in a circle. What is the radius of the circle? (1) The length of the rectangle is root 3 and the width of the rectangle is 1. (2) The length of are AB is 1/3 of the circumference of the circle.

A. 1. with length and width we can find diagonal = diameter of the cricle

2. insuff.

Does the diagonal of the rectangle inscribed in a square always have to be equal to the diameter of the circle..??
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ARISE AWAKE AND REST NOT UNTIL THE GOAL IS ACHIEVED

3.17. Rectangle ABCD is inscribed in a circle. What is the radius of the circle? (1) The length of the rectangle is root 3 and the width of the rectangle is 1. (2) The length of are AB is 1/3 of the circumference of the circle.

A. 1. with length and width we can find diagonal = diameter of the cricle

2. insuff.

Does the diagonal of the rectangle inscribed in a square always have to be equal to the diameter of the circle..??

Yes, always...................
Because the diagonal and the two sides of a triangle form a right angled triangle and the angle between the two sides is clearly 90degrees.
Since the angle in a semicircle is 90, the diagonal must obviously be the diameter
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Ok raghavender............
Keep positng ur doubts.................
Doubts like these will definitely help a lot of aspirants here on the exam day
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