Question

which of the following is an equation of the circle with radius 4 and center (7, -5)? (x - 7)^2 + (y + 5)^2 = 4 (x + 7)^2 + (y - 5)^2 = 4 (x - 7)^2 + (y + 5)^2 = 16 (x + 7)^2 + (y - 5)^2 = 16

Explanation:

Step1: Recall circle - equation formula

The standard form of a circle equation is $(x - h)^2+(y - k)^2=r^2$, where $(h,k)$ is the center and $r$ is the radius.

Step2: Substitute values

Here, $h = 7$, $k=-5$, $r = 4$, so $(x - 7)^2+(y+5)^2=4^2=16$.

Answer:

$(x - 7)^2+(y + 5)^2 = 16$