Final answer:
The radius of the circle is 5 units.
Step-by-step explanation:
To find the radius of the circle, we can use the distance formula between the center of the circle and the given point on the circle. The distance formula is given by:
√[(x2 - x1)² + (y2 - y1)²]
In this case, the center of the circle is the origin (0,0) and the given point is (-3,4). Substituting the values into the formula and simplifying, we have:
√[(-3 - 0)² + (4 - 0)²] = √[9 + 16] = √25 = 5
Therefore, the radius of the circle is 5 units.