1. The problem is to draw a circle with a radius of 8 in Cartesian coordinates. 2. The standard formula for a circle centered at the origin $(0,0)$ with radius $r$ is: $$x^2 + y^2 = r^2$$ 3. Here, the radius $r = 8$, so the equation becomes: $$x^2 + y^2 = 8^2$$ 4. Simplifying the right side: $$x^2 + y^2 = 64$$ 5. This equation represents all points $(x,y)$ that are exactly 8 units away from the origin, forming a circle. Final answer: The equation of the circle is $$x^2 + y^2 = 64$$.