Question

Enter the equation of the circle with the given center and radius.

Center:(-4, 2); radius: 2
The equation is

Answer 1

The answer is:

`(x+4)^2+(y-2)^2 = 4`

Explanation:

The equation of a circle:

`(x-h)^2+(y-k)^2=r^2`

Since, you already have the center and the radius, use them for the equation of a circle and it will be written as:

`(x+4)^2+(y-2)^2 = 2^2`

When putting the equation of a circle, the radius needs to be simplified by the exponent
`2`:

`(x+4)^2+(y-2)^2 = 4`

So, you have found the equation of circle.