If I have a list of X and Y coordinates how can I find the minimum diameter of a circle that encompasses all points?

x(") y(") Point

1.81 2.57 1

0.66 0.46 2

0.24 0.9 3

-0.8 0.59 4

2.54 2.92 5

For example here is a list of five points each defined by its X and Y coordinates. I want to find the diameter of the smallest circle that would have all points either touching or inside the circle.

Thanks in advance for any help you can provide.

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