The equation of a circle is x^2+y^2+18x+4y+49=0. what are the center and the radius of the circle?

i am failing math and have no idea what's : ) going : ) on : ) in : ) class : )

Center: (-9, -2)

Radius = 6

Step-by-step explanation:

The general equation of the circle is:

The center of the circle is given as (-g, -f) and the radius of this circle is calculated as:

The given equation is:

Re-writing this equation in a form similar to general form:

Comparing this equation with general equation we get:

g = 9

f = 2

c = 49

Thus center of the given circle is (-g, -f) = (-9, -2)

The radius of the circle will be:

Thus the radius of the given circle is 6.