Answer:
6
Step-by-step explanation:
Radius of the given circle is 6 units.
Given equation of circle is:
[tex] {(x + 5)}^{2} + {(y - 7)}^{2} = 36 \\ \: equating \: it \: with \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ {r}^{2} = 36 \\ \huge \red{ \boxed{r = 6 \: units}}[/tex]