A circle can be represented as an equation or on a graph
The equations of the circles are [tex]x^2 + y^2 = 36[/tex] and [tex](x + 4)^2 + (y + 2)^2 = 16[/tex]
How to graph the circles
The equation of a circle is represented as:
[tex](x - a)^2 + (y - b)^2 =r^2[/tex]
Where:
Center = (a,b)
Radius = r
For circle A, we have the equation to be:
[tex](x - 0)^2 + (y - 0)^2 =6^2[/tex]
[tex]x^2 + y^2 = 36[/tex]
For circle B, we have the equation to be:
[tex](x + 4)^2 + (y + 2)^2 =4^2[/tex]
[tex](x + 4)^2 + (y + 2)^2 = 16[/tex]
Hence, the equations of the circles are [tex]x^2 + y^2 = 36[/tex] and [tex](x + 4)^2 + (y + 2)^2 = 16[/tex]
See attachment for the graphs
Read more about circle equations at:
https://brainly.com/question/1559324
