Respuesta :

gmany
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.
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