Equation Of Circle

Step 1: Rewrite the equation of the circle in standard form.
The given equation is . We can complete the square for both and . - For , we complete the square by adding and subtracting : - For , we complete the square by adding and subtracting : So, the equation becomes: Simplifying:

Step 2: Find the center and radius.
The equation is now in the form , where is the center and is the radius. Thus, the center is and the radius is . Therefore, the correct answer is 3. (2, -3) and 3.