What is the standard equation of a circle with center ##(-2, 0)## and radius ##4##?

##(x+2)^2+y^2=16##

The of a circle is.

##color(red)(|bar(ul(color(white)(a/a)color(black)((x-a)^2+(y-b)^2=r^2)color(white)(a/a)|)))## where (a ,b) are the coordinates of the centre and r, the radius.

here a = -2 , b = 0 and r = 4

Substitute these values into the standard equation.

##(x-(-2))^2+(y-0)^2=4^2##

##rArr(x+2)^2+y^2=16" is the equation of the circle"##