Question

1. r=2 (h,k)=(0,2)

Explanation:

Step1: Recall the circle equation formula

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: Substitute the given values

We know \(r = 2\), \(h = 0\), and \(k = 2\). Substituting these into the formula:
\((x - 0)^2 + (y - 2)^2 = 2^2\)

Step3: Simplify the equation

Simplifying gives \(x^2 + (y - 2)^2 = 4\).

Answer:

The equation of the circle is \(x^2 + (y - 2)^2 = 4\)