Step-by-step explanation:
Given
for first circle, center is at [tex](3,2)[/tex] and radius is [tex]2[/tex] units
General equation of circle with center (h,k) and radius r units is given by
[tex]\Rightarrow (x-h)^2+(y-k)^2=r^2[/tex]
for the given circle it is
[tex]\Rightarrow (x-3)^2+(y-2)^2=2^2\\\Rightarrow (x-3)^2+(y-2)^2=4[/tex]
for second circle center is at (0,-1) and radius is 3 units
Equation is given by
[tex]\Rightarrow (x-0)^2+(y+1)^2=3^2\\\Rightarrow (x-0)^2+(y+1)^2=9[/tex]
