If a body moves in uniform circular motion, the centripetal force ‘F’ acts along the radius towards the Centre and the displacement ‘s’ acts along the tangent to the circle. Thus, the angle between ‘F’ and‘s’ is 90°.
Therefore,

W = 0 [ ∵ Force is perpendicular to the displacement ]
Since W= 0, no work is done by the body in uniform circular motion.