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.

x² + y² = 49

what is the center of the circle?

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 □.

(type an integer or a fraction.)

Explanation:

Step1: Recall the standard form of a circle's equation

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

Step2: Rewrite the given equation in standard form

The given equation \(x^{2}+y^{2}=49\) can be written as \((x - 0)^2+(y - 0)^2 = 7^2\).

Answer:

The radius of the circle is \(7\).