Which equation represents circle C
options are in the picture

(x+4)^2 + (y-1)^2 = 162

Step-by-step explanation:

Equation of Circle : (x – h)^2 + (y – k)^2 = r^2

(h, k) is the center of the circle, r is the radius

The center is (-4, 1), plug it in to get:

(x+4)^2 + (y-1)^2 = r^2

To find the radius we can use the distance formula to find the distance between C and P:

Distance Formula: d =

Plug in C: (-4, 1) and P:(5, -8) to get

So, the equation is:

(x+4)^2 + (y-1)^2 =

(x+4)^2 + (y-1)^2 = 162