Answer:
[tex]\displaystyle \boxed{x^2 + y^2 = 25}[/tex]
Step-by-step explanation:
Since the center [(h, k)] is at the origin, we do not move, so it stays at [tex]\displaystyle x^2 + y^2.[/tex]Now, the circle equation is [tex]\displaystyle [X - H]^2 + [Y - K]^2 = R^2,[/tex]so since the radius is 5, we square it to get 25. So, with that being said, you have this:
[tex]\displaystyle \boxed{x^2 + y^2 = 25}[/tex]
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