1. The problem is to graph a circle. 2. The standard formula for a circle centered at the origin with radius $r$ is: $$x^2 + y^2 = r^2$$ 3. This formula means that every point $(x,y)$ on the circle is at a distance $r$ from the center $(0,0)$. 4. For example, if we choose $r=1$, the equation becomes: $$x^2 + y^2 = 1$$ 5. This represents a circle with radius 1 centered at the origin. 6. To graph this, you plot all points $(x,y)$ that satisfy the equation. 7. The circle will intercept the axes at points $(1,0)$, $(-1,0)$, $(0,1)$, and $(0,-1)$. 8. The graph is symmetric about both the x-axis and y-axis. Final answer: The equation of the circle is $$x^2 + y^2 = 1$$ which can be graphed accordingly.