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The points R, T and U lie on a circle that has radius 4. if

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Intern
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Joined: 25 Dec 2008
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The points R, T and U lie on a circle that has radius 4. if [#permalink]

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New post 27 Dec 2008, 00:32
The points R, T and U lie on a circle that has radius 4. if the length of arc RTU is 4pi/3. What is the length of line RU?

A. 4/3
B. 8/3
C. 3
D. 4
E. 6

pls explain

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Intern
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Re: Line [#permalink]

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New post 27 Dec 2008, 04:18
4


Angle(ROU)/360 = Arc(ROU)/Circumference

Angle(ROU) = ((4pi/3)*360)/2Pi(4) = 60

In triangle ORU where o is the center of the circle, RO = OU since they are the radii of the triangle
SO with Angle(ROU) = 60 that makes triangle ORU equilateral triangle and RU = 4.

Is that right??
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Re: Line [#permalink]

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New post 27 Dec 2008, 05:23
ampok

i also can deduce this that the centre angle is 60 degree.

is it
if center angel is 60 degree. so rest of the angel is 60?

what is the formiula behind this

thanks advance....
shobuj
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Re: Line [#permalink]

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New post 27 Dec 2008, 11:13
Draw it out. As long as the position of T is outside of ARC(RU) then its position is irrelevant.
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Re: Line [#permalink]

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New post 27 Dec 2008, 11:14
shobuj40 wrote:
ampok

i also can deduce this that the centre angle is 60 degree.

is it
if center angel is 60 degree. so rest of the angel is 60?

what is the formiula behind this

thanks advance....
shobuj



Center Angle is 60 deg & we also know the 2 sides of this angle are equal (because both are radius of the circle, means ISOSCELS triangle), other 2 angles should be 60 degree.

Hope it clears your doubt!
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Re: Line [#permalink]

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New post 28 Dec 2008, 00:33
everybody thanks

shobuj

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Re: Line   [#permalink] 28 Dec 2008, 00:33
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