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PS: Circle and properties

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Intern
Joined: 25 May 2008
Posts: 43
PS: Circle and properties [#permalink]

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24 Dec 2008, 15:00
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Set 1 Question 8

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 segment RU

What is the length of line segment RU?

a. 4/3
b. 8/3
c. 3
d. 4
e. 6
SVP
Joined: 07 Nov 2007
Posts: 1765
Location: New York
Re: PS: Circle and properties [#permalink]

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24 Dec 2008, 15:27
hbs2012 wrote:
Set 1 Question 8

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 segment RU

What is the length of line segment RU?

a. 4/3
b. 8/3
c. 3
d. 4
e. 6

360= 2pi*4

x =4 pi /3

x/360 = 1/6 --> x=60

assume O is centre of the circle. ROU is equilatral triangle.

line seqment RU must be equal to radius of the circle, which is 4

D
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Re: PS: Circle and properties   [#permalink] 24 Dec 2008, 15:27
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PS: Circle and properties

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