The equation for a circle is x2+10x+y2+12y+52=0 . what is the equation of the circle in standard form? (x+25)2+(y+36)2=36 (x+5)2+(y+6)2=36 (x+25)2+(y+36)2=9 (x+5)2+(y+6)2=9

Equation of circle in standard form is

where (h,k) is the center of the circle and r is the radius.

To write the given equation in standard form we take 52 to the other side .The equation we have is :

To complete the square we take half of coefficient of x and y terms then square it .This is added to both sides of the equation .Half the coefficient of x term is 5 and half the coefficient of y term is 6 .Squaring it we have

Adding this to both sides:

Simplifying we have:

The last option is the right answer.