# How do you find the center and radius of the circle #(x-2)^2+(y+1)^2=2#?

##### 1 Answer

May 29, 2016

The center is

#### Explanation:

The circle are all the points with a fixed distance from the center. The distance is the radius.

If a point has coordinates

and this distance has to be equal to the radius

In your case you do not have the square root, so you are doing the square in both sides

It is enough now to compare this equation with your equation to see that

So the center has coordinates