Question

Write the equation of the circle graphed below

Answer 1

See Attached Picture:

Answer 2

Answer:

x² + (y-3)² = 9, or x² + y² - 6y = 0

Step-by-step explanation:

The equation of a circle is

(x-h)² + (y-k)² = r², where (h, k) is the center of the circle and r is the radius.

In this circle, the center is at (0, 3) and the radius is 3:

(x-0)² + (y-3)² = 3²

x² + (y-3)(y-3) = 9

x² + y² - 3y - 3y + 9 = 9

x² + y² - 6y + 9 = 9

x² + y² - 6y + 9 - 9 = 9 - 9

x² + y² - 6y = 0