Subjects algebra

Circle Center Radius 27Dbae

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Circle Center Radius 27Dbae


1. **Problem:** Identify the center and radius of the circle given by the equation $$-9 = -y^2 - x^2$$. 2. **Rewrite the equation:** Multiply both sides by -1 to get $$9 = y^2 + x^2$$. 3. **Standard form of a circle:** The general equation is $$ (x - h)^2 + (y - k)^2 = r^2 $$ where $ (h,k) $ is the center and $ r $ is the radius. 4. **Compare:** Here, $$ x^2 + y^2 = 9 $$ can be written as $$ (x - 0)^2 + (y - 0)^2 = 3^2 $$. 5. **Conclusion:** The center is $$ (0,0) $$ and the radius is $$ 3 $$. **Final answer:** Center: $ (0,0) $, Radius: $ 3 $.