How to get the acceleration of a circular motion?

How to get the acceleration of a circular motion in terms of velocity (V) and Radius (R).



i think the answer is V^2/R

But I don't know how to prove/get the answer.How to get the acceleration of a circular motion?Draw a circle of radius R with velocity vectors V in two slightly different postions. Since the vector lengths are the same (constant speed) it is easy to find out what the acceleration is because it is the change in V divided by the change in t. Draw the vectors tail to tail and find delta V.

The angle it moves thru is theta. The arc length is S. Then Theta =S/R



And

Theta = V(deta t)/R

Theta =(delta V)/V

Setting both expressions for theta equal and solving for acceleration

a= (delta V)/t = V^2/R