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

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

simplifying gives.

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To write the equation of a line with center at the origin and radius ( r = \sqrt{7} ), you can use the formula for the equation of a circle centered at the origin:

[ x^2 + y^2 = r^2 ]

Substitute ( r = \sqrt{7} ) into the equation:

[ x^2 + y^2 = (\sqrt{7})^2 ]

Simplify:

[ x^2 + y^2 = 7 ]

So, the equation of the line with center at the origin and radius ( r = \sqrt{7} ) is ( x^2 + y^2 = 7 ).

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