Question

Determine the equation of the circle graphed below.

Answer 1

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

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`.