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 = 36\\

the circle is centered at the point (0,0)
(type an ordered pair.)

what is the radius of the circle?

the radius of the circle is 6
(type an integer or a fraction.)

use the graphing tool to graph the circle.

Explanation:

Identify the center and radius

Using the Standard Form of Circle and Equation of a Circle knowledge points

$$
LATEXBLOCK0
$$

Determine the domain and range

Using the Interval Notation knowledge point

$$
LATEXBLOCK1
$$

Answer:

The circle is centered at the point (0,0).

The radius of the circle is 6.

The domain of the relation is \([-6, 6]\).

The range of the relation is \([-6, 6]\).