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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