Question

give the center and radius of the circle described by the equation and graph the equation. use the graph to identify the relations domain and range. x^2 + y^2 = 81 what is the center of the circle? the circle is centered at the point . (type an ordered pair.)

Explanation:

Step1: Recall circle - equation form

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

Step2: Rewrite the given equation

The given equation $x^{2}+y^{2}=81$ can be written as $(x - 0)^2+(y - 0)^2 = 9^2$.

Answer:

$(0,0)$