The equation of a circle centered at the origin is given to be:
[tex]x^2+y^2=r^2[/tex]
where r is the radius of the circle.
The radius of the circle in the question is given to be 5 units.
Therefore, the equation of the circle will be:
[tex]\begin{gathered} x^2+y^2=5^2 \\ \therefore \\ x^2+y^2=25 \end{gathered}[/tex]
OPTION D is correct.
