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

Sep 11, 2014

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, ${\left(x - h\right)}^{2} + {\left(y - k\right)}^{2} = {r}^{2}$,

where $\left(h , k\right)$ is the center of the circle and $r$ = radius

In our problem $\left(h , k\right)$ is $\left(0 , 0\right)$ 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.