The equation of the circle centered at the origin has a radius of 12 is x² + y² - 144 = 0.
What is radius?
The circle has a diameter, the whole circumference of the circle, so the radius is the half of the diameter.
The radius of the circle given 12.
All the points on the circle you're looking for have a distance from the origin of 12/ A point's distance from the center is
The equation will be
[tex]\rm d = \sqrt{x^2 + y^2} \\\\ 12 = \sqrt{x^2 + y^2}\\\\12^2 = x^2 + y^2\\\\x^2 + y^2 - 144 = 0[/tex]
Thus, the equation will be [tex]\rm x^2 + y^2 - 144 = 0[/tex]
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