# What will be the equation of a circle with a center at (–3, –5) and a radius of 6 units?

## Answer: The equation of the circle, can be given as ^{ }(x + 3)^{2} + (y + 5)^{2} = 36.

**Explanation:**

Given, center coordinates = (-3, -5) and radius = 6 units.

Using the standard equation of the circle, which is :

(x - h)^{2} + (y - k)^{2} = r^{2} , where:

h = x coordinate of the center

k = y coordinate of the center

Thus on substituting the value of h, k, and r in the standard equation, we get:

(x + 3)^{2} + (y + 5)^{2} = 6^{2}

⇒^{ }(x + 3)^{2} + (y + 5)^{2} = 36