Question

I really need help

Answer 1

Answer:

The answer is (C)

The equation of the circle is (x + 4)² + (y - 6)² = 81

Step-by-step explanation:

* To find the equation of the circle you need to know

  the center of the circle and the length of its radius

* The rule of the equation of the circle is:

  (x - h)² + (y - k)² = r²

  Where x and y is a general point on the circle,

  h and k are the coordinates of the center of the circle

  and r is the radius of the circle

∵ The center of the circle is (-4 , 6)

∵ The radius of the circle is 9

∴ (x - -4)² + (y - 6)² = 9²

∴ ( x + 4)² + (y - 6)² = 81

∴ The answer is (C)