Answer:
The radius of the circle is 5 units.
Step-by-step explanation:
The equation is given as :
[tex]x^{2}+y^{2}=25[/tex]
Now the equation form for a circle centered at (h,k) and radius r is given as :
[tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]
We can say that -
[tex]x^{2}+y^{2}=25[/tex] is same like [tex](x-0)^{2}+(y-0)^{2} =25[/tex]
Now we have a circle with center at the origin (0, 0)
And the radius is given as [tex]\sqrt{25}[/tex] = 5
Hence, the radius of the circle is 5 units.
