Question

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

Answer 1

The formula of a circle is (x-h)^2+(y-k)^2=r^2, where (h,k) is the center.
The center is (0,0) because there is no occurrence of h or k
The radius is $\sqrt{75}$ bcause $\sqrt{75}$^2 is 75

:)

Answer 2

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!