What is the equation of a circle whose center is (4,-7) and a radius of 6?

1 Answer
Apr 25, 2018

#(x-4)^2+(y+7)^2=36#

Explanation:

#"the standard form of the equation of a circle 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)=(4,-7)" and "r=6#

#(x-4)^2+(y-(-7))=6^2#

#rArr(x-4)^2+(y+7)^2=36larrcolor(red)"equation of circle"#