Question

give the center and radius of the circle. $x^{2}+y^{2}=25$ center: radius:

Explanation:

Step1: Recall the standard form of a circle equation

The standard form of a circle 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 \(x^2 + y^2=25\) can be written as \((x - 0)^2+(y - 0)^2 = 5^2\).

Answer:

Center: \((0,0)\)
Radius: \(5\)