Question

the equation of a circle is given below. identify the radius and center. then graph the circle.
$x^{2}+y^{2}=9$
radius:
center:

Explanation:

Step1: Recall circle - equation formula

The standard form of the equation of a circle is $(x - a)^2+(y - b)^2=r^2$, where $(a,b)$ is the center of the circle and $r$ is the radius.

Step2: Rewrite the given equation

The given equation $x^{2}+y^{2}=9$ can be written as $(x - 0)^2+(y - 0)^2 = 3^2$.

Answer:

Radius: 3
Center: (0,0)