Question

Question #23063

Answer 1

The center is`(4,9)` and the radius is `8`

Explanation:

Rewrite the equation as below and complete the squares
`x^2-8x+y^2-18y=-33`
`x^2-8x+16+y^2-18y+81=-33+16+81`
`(x-4)^2+(y-9)^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]}