Question

Find the center (h, k) and radius r of the circle with the given equation.
x2 + y2 + 14x + 18y = -114

Answer 1

\[x^2+14x+(\frac{14}{2})^2+y^2+18y+(\frac{18}{2})^2=-114+(\frac{14}{2})^2+(\frac{18}{2})^2\]
\[(x+7)^2+(y+9)^2=-114+49+81\]
\[(x+7)^2+(y+9)^2=16\]
r=4
C=(-7,-9)