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Circle

by jainrahul1985 » Thu Apr 29, 2010 2:09 am
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?
A. 4/3
B. 8/3
C. 3
D. 4
E. 6
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by ajith » Thu Apr 29, 2010 2:16 am
jainrahul1985 wrote: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?
A. 4/3
B. 8/3
C. 3
D. 4
E. 6
The perimeter of the circle = 8pi
The length of the arc = 4pi/3

Angle subtended at the center = 360* (4pi/3)/8pi = 60

Triangle ORU is an equilateral => RU = 4
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