What is Dimensional Formula of Angular Displacement?

Angular displacement is defined as the ratio of length and radius.

Angular displacement= Length/Radius
Now we know
Dimensional Formula of Length = M⁰L¹T⁰
Dimensional Formula of Radius  = M⁰L¹T⁰  —- Radius is related to length.

So
Angular displacement= M⁰L¹T⁰/M⁰L¹T⁰

Hence Dimensional Formula of Angular displacement = M⁰L⁰T⁰
SI units of Angular displacement is radian