Solid angle $$d \Omega=\frac{d A}{r^2}$$ has dimensions $$[\mathrm{M}^0 \mathrm{~L}^0 \mathrm{~T}^0]$$

Strain $=\frac{\Delta l}{l}$ has dimensions $$[\mathrm{M}^0 \mathrm{~L}^0 \mathrm{~T}^0]$$

Angle measured in radians is also dimensionless $$[\mathrm{M}^0 \mathrm{~L}^0 \mathrm{~T}^0]$$

$\theta=\frac{I}{r}$