Question

X2 + y2 + 10x + 12y + 25 = 0

What is the center of this circle ?
What is the radius of this circle ?
units

Answer 1

Center (- 5, - 6)

Radius 6 units

Explanation:

x² + 10x + y² + 12y + 25 = 0

x² + 2*5*x + 5² + y² + 2*6*y + 6² - 5² - 6² + 25 = 0

(x + 5)² + (y + 6)² - 6² = 0

(x + 5)² + (y + 6)² = 6²

Center (- 5, - 6)

Radius 6 units