# A circle has its center at (−2, 5) and a radius of 4 units. What is the equation of the circle?

The standard form of the equation can be written with the help of center coordinates and radius of the circle, only.

## Answer: The required equation of the circle is (x + 2)^{2} + (y - 5)^{2} = 16.

We may make use of the standard equation of the circle, to find the correct equation.

**Explanation:**

Standard form of equation of the circle is given by (x - h)^{2} + (y - k)^{2} = r^{2}

Here, we have h = -2, k = 5 and r = radius = 4 units

On putting these values in the standard equation of the circle, we get:

(x + 2)^{2} + (y - 5)^{2} = (4)2

(x + 2)^{2} + (y - 5)^{2} = 16

You can verify the answer using the equation of circle calculator.