Answer: 5 units
Step-by-step explanation:
We know that the general equation of a circle having center at (h,k) and radius r is given by :-
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Given : The equation of a circle : [tex]3x^2 + 3y^2 = 75[/tex]
Taking 3 as common from the left side of the given equation , we get
[tex]3(x^2 + y^2) = 75[/tex]
Divide 3 on both the sides , we get
[tex]x^2 + y^2 = 25[/tex]
Comparing to the general equation of circle , we get
[tex]r^2 = 25\\\\\Rightarrow\ r=5[/tex]
Hence, the radius of the circle = 5 units
