Answer:
The center is ( -5, -10) and the radius = 6.
Step-by-step explanation:
Convert the equation to standard form by completing the square;
x^2 + y^2 - 10x + 20y + 89 = 0
x^2 + y^2 - 10x + 20y = -89
x^2 - 10x + y^2 + 20y = -89 Completing the square:
(x + 5)^2 - 25 + (y + 10)^2 - 100 = -89
(x + 5)^2 + (y + 10)^2 = -89 + 125
(x + 5)^2 + (y + 10)^2 = 36
Comparing this to the standard form:
( x - h)^2 + (y - k)^2 = r^2
- we see that the center is ( -5, -10) and the radius = 6.
