Given an Alexandrov space with curvature bounded below by $K$, dimension $m$ and radius $r$, one may ask how large the boundary of X can be. In the case where $K=1$ and $r = \pi/2$, this is known as Lytchak’s problem and was answered by Petrunin, who showed the sharp upper bound $\mathcal{H}^{m-1}(\partial X) \leq \mathcal{H}^{m-1}(\mathbb{S}^{m-1})$. Rigidity was later analyzed by Grove-Petersen, who showed that in the case of equality $X$ must be a hemisphere or the intersection of two hemispheres. In this talk, I will address both the bound and rigidity for arbitrary $K$ and $r$