The work done by centripetal force when a body moves in a circular motion is:

Centripetal force is the force that causes a body to move in a circular motion.

This force is always directed towards the center.

The centripetal force acting on a body of mass 'm' rotating radius 'r' is as follows:

$F=\frac{m{v}^2}{r}$

Work done: It is the dot product of Force and Displacement.

Work Done$\left(\mathrm{W}\right)=$ Forced $\left(\mathrm{F}\right)\times$ Displacement $\left(S\right)\times cos\theta$

Here $\theta$ is the angle between force and displacement.

When a body moves in a circular path, the direction of centripetal force is always towards the center, and the direction of displacement is always perpendicular to the centripetal direction.