# How to compute the parameters of circumscribed hypershpere? [closed]

Assume I have an $$n$$-dimensional simplex on the points $$x_0, ..., x_n$$ where each $$x_i \in \mathbb{R}^n$$. I would like to obtain the parameters (center and radius) of it's circumscribed n-dimensional hypershpere. How do I do that?

I found the formulas for circle and ordinary shpere, but I am not sure how to generalize that properly.