Answer:
x² + y² = 15
Step-by-step explanation:
The formula for the equation of a circle is (x - h)² + (y - k)² = r², where the center of the circle is ordered pair (h, k) and r represents the radius (in units).
Now, we plug the given information into the circle equation and simplify.
radius = √15
center (0, 0), h = 0, k = 0
(x - 0)² + (y - 0)² = (√15)²
(x)² + (y)² = (√15)²
x² + y² = 15
The equation of the circle is x² + y² = 15