Respuesta :

The fourth graph is the correct answer (:

The correct graph of the circle [tex]\rm x^2+y^2=9[/tex] is graph D, the corrcet option is D.

What is the equation of the circle?

A circle can be represented as;

[tex]\rm (x-h)^2+(y-k)^2=r^2[/tex]

Where h and k are the centers of the circle and r is the radius of the circle.

The given equation of the circle is;

[tex]\rm x^2+y^2=9[/tex]

Here the center of the circle h = 0 and k = 0 so the circle passes through the origin.

The radius of the circle is;

[tex]\rm r^2=9\\\\r^2=3^2\\\\r=3[/tex]

Hence, the correct graph of the circle [tex]\rm x^2+y^2=9[/tex] is graph D, the correct option is D.

Learn more about circle here;

brainly.com/question/11833983

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