Answer:
The required formula is [tex]v=\sqrt{ar}[/tex].
Step-by-step explanation:
The given formula is
[tex]a=\frac{v^2}{r}[/tex]
where, v is the velocity of the object and r is the object's distance from the center of the circular path.
Multiply both sides by r, to solve the formula for the velocity.
[tex]ar=v^2[/tex]
Taking square root both the sides.
[tex]\sqrt{ar}=v[/tex]
Therefore the required formula is [tex]v=\sqrt{ar}[/tex].