Find the center of the circle whose equation is 3x² + 3y² = 75.

Center = (0,0)

Step-by-step explanation:

The standard form of a circle is

          ..... (1)

where, (h,k) is the center of the circle and r is radius.

The given equation is

Divide both sides by 3.

          ..... (2)

On comparing (1) and (2) we get

h=0, k=0, r=5

Therefore, the center of the circle is (0,0) and radius of the circle is 5.