Question

How do you find the center and radius of the circle `(x + 3) ^2+ (y – 2)^ 2 = 25`?

Answer 1

The center is `(-3,2)` and the radius is `5`

Generally when you have the equation

`(x-x_o)^2+(y-y_o)^2=R^2`

that is a circle with center at `(x_o,y_o)` and radius `R`

In our case that is `(x-(-3))^2+(y-2)^2=5^2`