Question

Determine the equation of the circle graphed below.

Answer 1

Answer:

$(x+7)^2+(y-2)^2=4$

Step-by-step explanation:

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

Since the center is $(h,k)\rightarrow(-7,2)$, and the radius is $r=2$, then the equation of the circle graphed is $(x-(-7))^2+(y-2)^2=2^2=(x+7)^2+(y-2)^2=4$.