Which is an equation of the circle with center (-2,5) and radius 4?

1 Answer
May 12, 2018

#(x+2)^2+(y-5)^2=16#

Explanation:

#"the equation of a circle in standard form is"#

#color(red)(bar(ul(|color(white)(2/2)color(black)((x-a)^2+(y-b)^2=r^2)color(white)(2/2)|)))#

#"where "(a,b)" are the coordinates of the centre and r"#
#"is the radius"#

#"here "(a,b)=(-2,5)" and "r=4#

#"substitute these values into the equation"#

#(x-(-2))^2+(y-5)^2=4^2#

#rArr(x=2)^2+(y-5)^2=16larrcolor(red)"equation of circle"#