# Find the Equation of a Circle that has its Center at (-4, 3) and has a Radius of 5.

We will be using the equation of a circle to solve this.

## Answer: The Equation of a Circle that has its Center at (-4, 3) and has a Radius of 5 is (x + 4)^{2} + (y − 3)^{2} = 25.

Let's solve it step by step.

**Explanation:**

Given that, Center (h, k) = (-4, 3) and radius (r) = 5.

We can write the equation of a circle with center (h, k) and radius (r) as (x − h)^{2} + (y − k)^{2} = r^{2}

Substitute the values of h, k, r.

(x − (-4))^{2} + (y − 3)^{2} = 5^{2}

(x + 4)^{2} + (y − 3)^{2} = 25.