The equation of a circle is x^2 + y^2 -4x + 2y -11 =0 . what are the center and the radius of the circle? show your work.

Center: (2,-1)

Radius: 4 units

Step-by-step explanation:

Equation of the circle in standard form is:

The radius of this circle is located at (-g, -f) and its radius is equal to:

The given equation of circle is:

Re-writing this equation in a form similar to the standard equation:

Comparing this equation with standard equation we can say:

g= -2

f = 1

c = -11

So, the center of the circle will be located at (-g, -f) = (2, -1)

And the radius will be =

Thus the radius of the given circle is 4 units.

step-by-step explanation:

try remembering the steps