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

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"