Circle Graph A45Dbb

1. The problem is to graph a circle. 2. The standard formula for a circle with center at $ (h, k) $ and radius $ r $ is: $$ (x - h)^2 + (y - k)^2 = r^2 $$ 3. Important rules: - The center of the circle is at $ (h, k) $. - The radius $ r $ is the distance from the center to any point on the circle. 4. For simplicity, let's graph a circle centered at the origin $ (0,0) $ with radius $ r = 5 $: $$ x^2 + y^2 = 25 $$ 5. This means all points $ (x,y) $ satisfy $ x^2 + y^2 = 25 $. 6. To graph this, plot points that satisfy the equation, for example: - $ (5,0) $, $ (-5,0) $, $ (0,5) $, $ (0,-5) $ - Points like $ (3,4) $ since $ 3^2 + 4^2 = 9 + 16 = 25 $ 7. Connect these points smoothly to form the circle. Final answer: The graph of the circle is given by the equation $$ x^2 + y^2 = 25 $$ centered at $ (0,0) $ with radius $ 5 $.