What is the standard form of the equation of a circle with center (0,0) and whose radius is 5?

2 Answers
Jun 20, 2018

#(x-a)^2+(y-b)^2=r^2# this is the general form of the equation of a circle with centre #(a,b)# and radius #r#

Putting you values in

#(x-0)^2+(y-0)^2=5^2#

#x^2+y^2=25#

Jun 20, 2018

Answer:

#x^2+y^2=25#

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)=(0,0)" and "r=5#

#(x-0)^2+(y=0)^2=5^2#

#x^2+y^2=25larrcolor(red)"equation of circle"#