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

1 Answer
Jun 23, 2016

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

Explanation:

The standard form of the equation 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"#