Question

Question was provided via image upload.

Explanation:

Step1: Recall circle standard form

The standard form of a circle is $(x-h)^2 + (y-k)^2 = r^2$, where $r$ is the radius.

Step2: Compare with given equation

Given equation: $(x-3)^2 + (y+2)^2 = 36$. Here, $r^2 = 36$.

Step3: Calculate radius

$r = \sqrt{36} = 6$.

Answer:

6