Answer
Center: $(0,0)$ $;$ Radius: $7$
Domain: $[-7,7]$ $;$ Range: $[-7,7]$
The graph is:
Work Step by Step
$x^{2}+y^{2}=49$
The standard form of 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 its radius.
From the equation given, it can be seen that $(h,k)=
(0,0)$ and that $r^{2}=49$
The center of the circle is the origin.
The radius of the circle is:
$r^{2}=49$
$\sqrt{r^{2}}=\sqrt{49}$
$r=7$
From the equation's graph (shown below), it can be seen that its domain is $[-7,7]$ and its range is $[-7,7]$
