Answer:
[tex](x- 2)^{2} + (y + 10)^{2} = 9[/tex] is the equation of the circle.
Step-by-step explanation:
Center of the circle = (2, -10)
Radius = 3
General Form of Circle Equation :
[tex](x- h)^{2} + (y - k)^{2} = r^{2}[/tex]
where, (h,k) are the center coordinates and r is the radius of circle.
So, substituting (h,k) with (2, -10) and r =3 in the above equation,
we get
[tex](x- 2)^{2} + (y - (- 10))^{2} = 3^{2}[/tex]
or, [tex](x- 2)^{2} + (y + 10)^{2} = 9[/tex] is the required equation.
