Graph each circle given below. write the center and the radius of each circle x2+y2=9

Accepted Solution

Answer: Center: (0,0) Radius: 3 The graph is attached.Step-by-step explanation: The equation of the circle has the form: [tex](x -h)^{2}+(y-k)^{2}=r^{2}[/tex] Where (h,k) is the  point of the center of the circle and r is the radius of the circle. If the center is at (0,0) and the radius is 3, you obtain the equation given in the problem: [tex](x -0)^{2}+(y-0)^{2}=3^{2}[/tex] [tex]x^{2}+y^{2}=9[/tex] Therefore, the center is (0,0) and radius is 3. You can graph the circle with its center at the origin and a radius of 3 as you can see in the figure attached.