Answer :
On solving the provided question, we can say that- the equation of circle will be [tex](x-3)^2+(y+2)^2=9[/tex]
what is circle?
Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.
The standard form of the equation of a circle is: [tex](x-x1)^2+(y-y1)^2=r^2[/tex]
x1 is the x-coordinate of the center, y1 is the y-coordinate of the center, x and y are the x and y variables, and r is the radius of the circle.
Replace x1 with 3 and y1 with -2 to set the circle's center at these coordinates: (3, -2).
equation
[tex](x-3)^2+(y-(-2))^2=r^2\\(x-3)^2+(y+2)^2=r^2\\(x-3)^2+(y+2)^2=3^2[/tex]
The final equation is:
[tex](x-3)^2+(y+2)^2=9[/tex]
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