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2015-04-19T07:15:12+05:30

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Consider a circle of radius R and suppose that the object starts from (R,0) and moves on the circle counter clockwise. It reaches the point (0,-R) exactly after covering 3/4th of circumference. So the displacement is given by the distance between starting and final positions : 
displacement = \sqrt{(0-R)^2+(-R-0)^2}=R\sqrt{2}
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