How do you write an equation of a line with center at the origin and r=sqrt7?

1 Answer
Jim G.
Jan 26, 2017

x^2+y^2=7

Explanation:

I am assuming you require the equation of a circle since the question gives centre and radius.

The standard form of the color(blue)"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, the radius.

"here the centre "=(0,0)" and "r=sqrt7

rArr(x-0)^2+(y-0)^2=(sqrt7)^2

simplifying gives.

x^2+y^2=7larrcolor(red)" equation of circle"

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