Respuesta :

Answer:

[tex]x^{2} +y^{2} =9[/tex]

Step-by-step explanation:

The equation of the circle is x² + y² = 9

A circle is the locus of a point such that its distance from a fixed point known as the center is always constant. The standard equation of a circle is given by:

(x - a)² + (y - b)² = r²;

where (a, b) is the center of the circle, r is the radius of the circle.

Given that the circle has center (0,0) and radius: 3, hence:

(x - 0)² + (y - 0)² = 3²

x² + y² = 9

Therefore the equation of a circle with center (0, 0) and radius 3 is x² + y² = 9

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