# How do you write the equation of the circle with diameter endpoints of (5,8) and (5,-4)?

${\left(x - 5\right)}^{2} + {\left(y - 2\right)}^{2} = 36$
If the diameter endpoints of a circle are at $\left(5 , 8\right)$ and $\left(5 , - 4\right)$
the center of the circle is at $\left(5 , 2\right)$
and its radius is $6$