How do you write the standard from of the equation of the circle given center (-3, -5) and radius 4?

Oct 8, 2016

(x - -3)² + (y - -5)² = 4²

Explanation:

The standard form of the equation for a circle is:

(x - h)² + (y - k)² = r²

where $\left(h , k\right)$ is the center point, and $r$ is the radius.

Substituting the given values into the equation:

(x - -3)² + (y - -5)² = 4²

You can change into this form:

(x +3)² + (y +5)² = 16

but I do not recommend it, because it makes is more difficult for someone to identify the center and the radius.