Identify the center and radius of each.

x^+y^+24x-18y+200=0

centre = (- 12, 9), radius = 5

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² + 24x - 18y + 200 = 0

Collect the terms in x/ y together and subtract 200 from both sides

x² + 24x + y² - 18y = - 200

Using the method of completing the square

add ( half the coefficient of the x/ y term )² to both sides

x² + 2(12)x + 144 + y² + 2(- 9)y + 81 = - 200 + 144 + 81

(x + 12)² + (y - 9)² = 25 ← in standard form

with centre (- 12, 9) and r = = 5

true

step-by-step explanation: