Question

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

Answer 1

`(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`

Answer 2

`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"`