Question

Which equation represents circle O with center(-5,-4) and radius 7?

Answer 1

(x + 5)² + (y + 4)² = 49

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is

`(x-h)^2+(y-k)^2=r^2`

So, replacing (h, k) = (-5, -4) and r = 7, we get:

`\begin{gathered} (x-(-5))^2+(y-(-4))^2=7^2 \\ (x+5)^2+(y+4)^2=49 \end{gathered}`

Therefore, the answer is

(x + 5)² + (y + 4)² = 49