# What is the equation of the circle with the center (-5, 3) and radius of 4?

Apr 22, 2018

See explanation

#### Explanation:

The equation of a circle is:
(x – h)^2 + (y – k)^2 = r^2

Where the center of the circle is $\left(h , k\right)$ which correlates to $\left(x , y\right)$

Your center is given at $\left(- 5 , 3\right)$, so plug these values into the equation above

(x + 5)^2 + (y – 3)^2 = r^2

Since your $x$ value is negative, the minus and negative cancel out to make it ${\left(x + 5\right)}^{2}$

The $r$ in the equation equals the radius, which is given at a value of $4$, so plug that into the equation

(x + 5)^2 + (y – 3)^2 = 4^2