What comic does the equation $4 x^{2} + 4 y^{2} = 16$ $4x^2+4y^2=16$ represent?

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Answer 1 · 2014-09-11T06:30:48

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

$x^{2} + y^{2} = 4$ $x^2+y^2=4$

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

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

In our problem $(h, k)$ $(h,k)$ is $(0, 0)$ $(0,0)$ and
$r^{2} = 4$ $r^2=4$
$\sqrt{r^{2}} = \sqrt{4}$ $sqrt(r^2) = sqrt(4)$
$r = 2$ $r=2$

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

What comic does the equation 4x2+4y2=164x^2+4y^2=16 represent?