# Question #23063

Oct 18, 2016

The center is$\left(4 , 9\right)$ and the radius is $8$

#### Explanation:

Rewrite the equation as below and complete the squares
${x}^{2} - 8 x + {y}^{2} - 18 y = - 33$
${x}^{2} - 8 x + 16 + {y}^{2} - 18 y + 81 = - 33 + 16 + 81$
${\left(x - 4\right)}^{2} + {\left(y - 9\right)}^{2} = 64 = {8}^{2}$
This is the standard form of the equation of a circle

graph{(x-4)^2+(y-9)^2=64 [-40, 40, -20, 20]}