Question

this circle is centered at the origin, and the length of its radius is 2. what is the circles equation? o a. x^2 + y^2 = 2

Explanation:

Step1: Recall circle - equation formula

The standard form of the equation of a circle centered at the origin \((0,0)\) is \(x^{2}+y^{2}=r^{2}\), where \(r\) is the radius of the circle.

Step2: Substitute the radius value

Given that \(r = 2\), substituting \(r\) into the formula, we get \(x^{2}+y^{2}=2^{2}=4\).

Answer:

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