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QUESTION

# 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"