Question

Which equation is associated with a circle whose center is at (-4, 0) and has a radius of 8?

Answer 1

The equation for a circle with a center at
`(h,k)` and radius
`r` is the following:

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

We are given a center of
`(-4,0)` and we are also given that the radius is 8. Plus these values into the standard equation for a circle:

`(x-(-4))^2+(y+0)^2=8^2`

After simplifying, the equation turns into:

`(x+4)^2+y^2=64`

This should be your answer. Let me know if you need any clarifications, thanks!

~ Padoru