Circular Equations
Circular equations are typically organized in the following format:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
- (h,k) is the center of the circle
- r is the radius
Solving the Question
We're given:
- The center of the circle: (-4,-7)
- The radius: 2 units
Plug these given values into the formula:
[tex](x-h)^2+(y-k)^2=r^2\\(x-(-4))^2+(y-(-7))^2=2^2\\(x+4)^2+(y+7)^2=2^2\\(x+4)^2+(y+7)^2=4[/tex]
Answer
[tex](x+4)^2+(y+7)^2=4[/tex]
