Question

determine the center and radius of the circle. write your answers in simplified exact fo

$x^{2}+y^{2}=20$

part: 0 / 2

part 1 of 2

the center is ( , ).

Explanation:

Step1: Recall the standard form of a circle 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

The given equation \(x^{2}+y^{2}=20\) can be rewritten as \((x - 0)^2+(y - 0)^2=(\sqrt{20})^2\).

Answer:

The center is \((0,0)\)