Question

What comic does the equation `4x^2+4y^2=16` represent?

Answer 1

You would begin by dividing each term by 4 to end up with ...

`x^2+y^2=4`

This is an equation for a circle, `(x-h)^2+(y-k)^2=r^2`,

where `(h,k)` is the center of the circle and `r` = radius

In our problem `(h,k)` is `(0,0)` and
`r^2=4`
`sqrt(r^2) = sqrt(4)`
`r=2`

It is the equation of a circle with a center at (0,0) and a radius of 2.