Based on the calculations, the radius of this circle with the given equation is equal to 5 units.
<u>Given the following data:</u>
<h3>The equation of a circle.</h3>
Mathematically, the standard form of the equation of a circle is given by;

<u>Where:</u>
- h and k represents the coordinates at the center.
- r is the radius of a circle.
Expanding the equation, we have:

Comparing the terms, we have:

h = -4

k = 3.
Now, we can determine the radius:

r = 5 units.
Read more on circle here: brainly.com/question/14078280