Answer:
[tex](x-4)^2+(y+5)^2=121[/tex]
Step-by-step explanation:
The standard equation of a circle is:
[tex](x- h)^2 + (y- k)^2 = r^2[/tex]
where (h,k) is the center, and r is the radius.
We know that (4,-5) is the center, and 11 is the radius.
Therefore, 4 is h, -5 is k, and 11 is r. Substitute them into the equation
[tex](x-4)^2+(y--5)^2=11^2[/tex]
Solve the exponent
[tex](x-4)^2+(y+5)^2=121[/tex]
