The standard form of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] Where: (h; k) - the coordinates of a centerr - the radius We have: [tex](x+5)^2+(y-10)^2=121[/tex] therefore [tex](-5;\ 10)[/tex] - the center [tex]r^2=121\to r=\sqrt{121}\to r=11[/tex] - the radius Answer: 11
The answer is 11. The radius of the circle is 11 because in the equation (x-h)^2=(y-k)^2=r^2, we take the square root of the constant term on the outside to get the radius. The equation given can be rewritten as (x+5)^2+(y-10)^2=(11)^2.