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Updated 3.17. Rectangle ABCD is inscribed in a circle. What [#permalink]
03 Oct 2006, 04:30

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Updated

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

Re: rectangle inscribed a circle DS [#permalink]
07 Oct 2006, 18:41

Raghavender wrote:

Updated

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

Re: rectangle inscribed a circle DS [#permalink]
10 Oct 2006, 20:31

Nsentra wrote:

Raghavender wrote:

Updated

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..??

_________________

ARISE AWAKE AND REST NOT UNTIL THE GOAL IS ACHIEVED

Re: rectangle inscribed a circle DS [#permalink]
10 Oct 2006, 21:52

Raghavender wrote:

Nsentra wrote:

Raghavender wrote:

Updated

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