Question

Use completing the

square to identify the
center and radius of the
following circle
x2 + y2 + 2x - 10y - 23​

Answer 1

center: (-1 , 5)

radius: 7

Explanation:

circle: (x – h)²+ (y – k)² = r², with the center at (h, k) and the radius "r"

x² + y² + 2x - 10y - 23​ = (x + 1)² + (y - 5)² - 49 = 0

(x + 1)² + (y - 5)² = 49 = 7²

center: (h , k) (-1 , 5)

radius: 7