Determine the center and radius of each circle 3x^2+3y^2=75

For the circle of 3x² + 3y² = 75, the radius would be 5, and the center would be (0, 0)

This is because, usual circle equations have only 1 x² and y², so you can divide all terms by 3 to make the equation look normal. This gives you x² + y² = 25.

Since there is nothing being added or subtracted to the x and y values, the center is (0, 0), and the radius is the square root of whatever the values equal, which is √25 = 5.

I hope this helps!